diff --git a/.gitignore b/.gitignore index 16c4035..c0095de 100644 --- a/.gitignore +++ b/.gitignore @@ -106,9 +106,10 @@ coverage/ biome.jsonc-backup/ ######################################## -# MkDocs +# VitePress ######################################## -site/ +.vitepress/dist +.vitepress/cache ######################################## # IDE: VSCode / JetBrains / Vim / Emacs diff --git a/.vitepress/config.mts b/.vitepress/config.mts new file mode 100644 index 0000000..37a95d9 --- /dev/null +++ b/.vitepress/config.mts @@ -0,0 +1,74 @@ +import { defineConfig } from "vitepress"; +import path from "node:path"; + +// https://vitepress.dev/reference/site-config +export default defineConfig({ + title: "DS - A Deductive System", + description: + "A deductive system for logical inference, implemented in C++ with bindings for Python and TypeScript/JavaScript", + srcDir: "docs", + themeConfig: { + // https://vitepress.dev/reference/default-theme-config + nav: [ + { text: "Home", link: "/" }, + { text: "Getting Started", link: "/getting-started/installation" }, + { text: "Core Concepts", link: "/concepts/terms" }, + { text: "API Reference", link: "/api/typescript" }, + { text: "Support Packages", link: "/support-packages/bnf" }, + { text: "Examples", link: "/examples/basic" }, + ], + + sidebar: [ + { + text: "Getting Started", + items: [ + { text: "Installation", link: "/getting-started/installation" }, + { text: "Quick Start", link: "/getting-started/quickstart" }, + ], + }, + { + text: "Core Concepts", + items: [ + { text: "Terms", link: "/concepts/terms" }, + { text: "Rules", link: "/concepts/rules" }, + { text: "Search Engine", link: "/concepts/search" }, + ], + }, + { + text: "API Reference", + items: [ + { text: "TypeScript API", link: "/api/typescript" }, + { text: "Python API", link: "/api/python" }, + { text: "C++ API", link: "/api/cpp" }, + ], + }, + { + text: "Support Packages", + items: [ + { text: "BNF", link: "/support-packages/bnf" }, + { text: "E-Graph", link: "/support-packages/egg" }, + ], + }, + { + text: "Examples", + items: [ + { text: "Basis Examples", link: "/examples/basic" }, + { text: "Sudoku", link: "/examples/sudoku" }, + ], + }, + ], + + search: { provider: "local" }, + socialLinks: [{ icon: "github", link: "https://github.com/USTC-KnowledgeComputingLab/ds" }], + }, + vite: { + build: { + target: "esnext", + }, + resolve: { + alias: { + atsds: path.resolve(__dirname, "../atsds/index.mts"), + }, + }, + }, +}); diff --git a/README.md b/README.md index 8b82e48..9ae03ca 100644 --- a/README.md +++ b/README.md @@ -10,13 +10,12 @@ A deductive system for logical inference, implemented in C++. The library provid ## Features -- **Multi-Language Support**: Use the same deductive system in C++, Python, or TypeScript/JavaScript -- **Logical Terms**: Work with variables, items (constants/functors), and lists -- **Rule-Based Inference**: Define rules and facts, perform logical deduction -- **Unification and Matching**: Unify terms and match rules -- **Search Engine**: Built-in search mechanism for iterative inference -- **WebAssembly**: Run inference in the browser or Node.js environments -- **Type-Safe**: Strong typing support in TypeScript and Python +- **Multi-Language Support**: Seamlessly use the same deductive system in C++, Python, or TypeScript/JavaScript. +- **WebAssembly Performance**: Run high-performance deductive system in the browser or Node.js via Emscripten. +- **Rich Logical Terms**: Comprehensive support for variables, items, and nested lists. +- **Rule-Based Inference**: Flexible framework for defining rules and facts to perform complex logical deduction. +- **Unification Engine**: Powerful built-in mechanisms for term unification and rule matching. +- **Automated Search**: Built-in search engine for iterative inference. ## Installation diff --git a/docs/concepts/rules.md b/docs/concepts/rules.md index ddd2319..0476400 100644 --- a/docs/concepts/rules.md +++ b/docs/concepts/rules.md @@ -33,12 +33,13 @@ Or explicitly: (parent john mary) ``` -!!! info "Rule Format Details" - - Premises are separated by newlines - - The separator line must contain at least 4 dashes (`----`) between premises and conclusion - - Whitespace around premises and conclusion is trimmed - - A rule without an premises is a fact +::: tip Rule Format Details +- Premises are separated by newlines +- The separator line must contain at least 4 dashes (`----`) between premises and conclusion +- Whitespace around premises and conclusion is trimmed +- A rule without an premises is a fact +::: ### Compact Rule Format For rules with multiple premises, you can use space-separated terms on a single line: @@ -79,62 +80,56 @@ The last term is the conclusion, and all preceding terms are premises. ## Creating Rules -=== "TypeScript" +::: code-group +```typescript [TypeScript] +import { Rule } from "atsds"; - ```typescript - import { Rule } from "atsds"; +// Create a fact +const fact = new Rule("(parent john mary)"); - // Create a fact - const fact = new Rule("(parent john mary)"); - - // Create a rule with premises - const rule = new Rule("(father `X `Y)\n----------\n(parent `X `Y)\n"); - - // Access rule components - console.log(`Number of premises: ${rule.length()}`); // 1 - console.log(`First premise: ${rule.getitem(0).toString()}`); // (father `X `Y) - console.log(`Conclusion: ${rule.conclusion().toString()}`); // (parent `X `Y) - ``` +// Create a rule with premises +const rule = new Rule("(father `X `Y)\n----------\n(parent `X `Y)\n"); -=== "Python" - - ```python - import apyds - - # Create a fact - fact = apyds.Rule("(parent john mary)") - - # Create a rule with premises - # Using explicit separator - rule = apyds.Rule("(father `X `Y)\n----------\n(parent `X `Y)\n") +// Access rule components +console.log(`Number of premises: ${rule.length()}`); // 1 +console.log(`First premise: ${rule.getitem(0).toString()}`); // (father `X `Y) +console.log(`Conclusion: ${rule.conclusion().toString()}`); // (parent `X `Y) +``` +```python [Python] +import apyds - # Access rule components - print(f"Number of premises: {len(rule)}") # 1 - print(f"First premise: {rule[0]}") # (father `X `Y) - print(f"Conclusion: {rule.conclusion}") # (parent `X `Y) - ``` +# Create a fact +fact = apyds.Rule("(parent john mary)") -=== "C++" +# Create a rule with premises +# Using explicit separator +rule = apyds.Rule("(father `X `Y)\n----------\n(parent `X `Y)\n") - ```cpp - #include - #include - #include +# Access rule components +print(f"Number of premises: {len(rule)}") # 1 +print(f"First premise: {rule[0]}") # (father `X `Y) +print(f"Conclusion: {rule.conclusion}") # (parent `X `Y) +``` +```cpp [C++] +#include +#include +#include - int main() { - // Create a fact - auto fact = ds::text_to_rule("(parent john mary)", 1000); +int main() { + // Create a fact + auto fact = ds::text_to_rule("(parent john mary)", 1000); - // Create a rule with premises - auto rule = ds::text_to_rule("(father `X `Y)\n----------\n(parent `X `Y)\n", 1000); + // Create a rule with premises + auto rule = ds::text_to_rule("(father `X `Y)\n----------\n(parent `X `Y)\n", 1000); - // Access rule components - std::cout << "Number of premises: " << rule->premises_count() << std::endl; - std::cout << "Conclusion: " << ds::term_to_text(rule->conclusion(), 1000).get() << std::endl; + // Access rule components + std::cout << "Number of premises: " << rule->premises_count() << std::endl; + std::cout << "Conclusion: " << ds::term_to_text(rule->conclusion(), 1000).get() << std::endl; - return 0; - } - ``` + return 0; +} +``` +::: ## Rule Operations @@ -142,251 +137,223 @@ The last term is the conclusion, and all preceding terms are premises. Grounding substitutes variables in a rule with values from a dictionary. -=== "TypeScript" - - ```typescript - import { Rule } from "atsds"; - - // Create a rule with variables - const rule = new Rule("`a"); - - // Create a dictionary - const dictionary = new Rule("((`a b))"); - - // Ground the rule - const result = rule.ground(dictionary); - if (result !== null) { - console.log(result.toString()); // ----\nb\n - } - ``` - -=== "Python" +::: code-group +```typescript [TypeScript] +import { Rule } from "atsds"; - ```python - import apyds +// Create a rule with variables +const rule = new Rule("`a"); - # Create a rule with variables - rule = apyds.Rule("`a") +// Create a dictionary +const dictionary = new Rule("((`a b))"); - # Create a dictionary - dictionary = apyds.Rule("((`a b))") +// Ground the rule +const result = rule.ground(dictionary); +if (result !== null) { + console.log(result.toString()); // ----\nb\n +} +``` +```python [Python] +import apyds - # Ground the rule - result = rule.ground(dictionary) - print(result) # ----\nb\n - ``` +# Create a rule with variables +rule = apyds.Rule("`a") -=== "C++" +# Create a dictionary +dictionary = apyds.Rule("((`a b))") - ```cpp - #include - #include - #include +# Ground the rule +result = rule.ground(dictionary) +print(result) # ----\nb\n +``` +```cpp [C++] +#include +#include +#include - int main() { - // Create a rule with variables - auto rule = ds::text_to_rule("`a", 1000); +int main() { + // Create a rule with variables + auto rule = ds::text_to_rule("`a", 1000); - // Create a dictionary - auto dictionary = ds::text_to_rule("((`a b))", 1000); + // Create a dictionary + auto dictionary = ds::text_to_rule("((`a b))", 1000); - // Ground the rule - std::byte buffer[1000]; - auto result = reinterpret_cast(buffer); - result->ground(rule.get(), dictionary.get(), nullptr, buffer + 1000); + // Ground the rule + std::byte buffer[1000]; + auto result = reinterpret_cast(buffer); + result->ground(rule.get(), dictionary.get(), nullptr, buffer + 1000); - std::cout << ds::rule_to_text(result, 1000).get() << std::endl; // ----\nb\n + std::cout << ds::rule_to_text(result, 1000).get() << std::endl; // ----\nb\n - return 0; - } - ``` + return 0; +} +``` +::: ### Matching Matching unifies the first premise of a rule with a fact, producing a new rule with one fewer premise. -=== "TypeScript" +::: code-group +```typescript [TypeScript] +import { Rule } from "atsds"; + +// Modus ponens rule +const mp = new Rule("(`p -> `q)\n`p\n`q\n"); + +// Double negation elimination axiom +const axiom = new Rule("((! (! `x)) -> `x)"); - ```typescript - import { Rule } from "atsds"; +// Match +const result = mp.match(axiom); +if (result !== null) { + console.log(result.toString()); + // (! (! `x)) + // ---------- + // `x +} +``` +```python [Python] +import apyds + +# Modus ponens rule: if (P -> Q) and P then Q +mp = apyds.Rule("(`p -> `q)\n`p\n`q\n") + +# A fact: double negation elimination axiom +axiom = apyds.Rule("((! (! `x)) -> `x)") + +# Match: apply axiom to modus ponens +result = mp @ axiom # Uses @ operator +print(result) +# Output: +# (! (! `x)) +# ---------- +# `x +``` +```cpp [C++] +#include +#include +#include +int main() { // Modus ponens rule - const mp = new Rule("(`p -> `q)\n`p\n`q\n"); + auto mp = ds::text_to_rule("(`p -> `q)\n`p\n`q\n", 1000); // Double negation elimination axiom - const axiom = new Rule("((! (! `x)) -> `x)"); + auto axiom = ds::text_to_rule("((! (! `x)) -> `x)", 1000); // Match - const result = mp.match(axiom); - if (result !== null) { - console.log(result.toString()); - // (! (! `x)) - // ---------- - // `x - } - ``` - -=== "Python" - - ```python - import apyds + std::byte buffer[1000]; + auto result = reinterpret_cast(buffer); + result->match(mp.get(), axiom.get(), buffer + 1000); - # Modus ponens rule: if (P -> Q) and P then Q - mp = apyds.Rule("(`p -> `q)\n`p\n`q\n") + std::cout << ds::rule_to_text(result, 1000).get() << std::endl; - # A fact: double negation elimination axiom - axiom = apyds.Rule("((! (! `x)) -> `x)") - - # Match: apply axiom to modus ponens - result = mp @ axiom # Uses @ operator - print(result) - # Output: - # (! (! `x)) - # ---------- - # `x - ``` - -=== "C++" - - ```cpp - #include - #include - #include - - int main() { - // Modus ponens rule - auto mp = ds::text_to_rule("(`p -> `q)\n`p\n`q\n", 1000); - - // Double negation elimination axiom - auto axiom = ds::text_to_rule("((! (! `x)) -> `x)", 1000); - - // Match - std::byte buffer[1000]; - auto result = reinterpret_cast(buffer); - result->match(mp.get(), axiom.get(), buffer + 1000); - - std::cout << ds::rule_to_text(result, 1000).get() << std::endl; - - return 0; - } - ``` + return 0; +} +``` +::: ### Renaming Renaming adds prefixes and/or suffixes to all variables in a rule. -=== "TypeScript" +::: code-group +```typescript [TypeScript] +import { Rule } from "atsds"; - ```typescript - import { Rule } from "atsds"; +// Create a rule +const rule = new Rule("`x"); - // Create a rule - const rule = new Rule("`x"); - - // Rename with prefix and suffix - const spec = new Rule("((pre_) (_suf))"); - const result = rule.rename(spec); - if (result !== null) { - console.log(result.toString()); // ----\n`pre_x_suf\n - } - ``` - -=== "Python" - - ```python - import apyds - - # Create a rule - rule = apyds.Rule("`x") - - # Rename with prefix and suffix - spec = apyds.Rule("((pre_) (_suf))") - result = rule.rename(spec) - print(result) # ----\n`pre_x_suf\n - ``` +// Rename with prefix and suffix +const spec = new Rule("((pre_) (_suf))"); +const result = rule.rename(spec); +if (result !== null) { + console.log(result.toString()); // ----\n`pre_x_suf\n +} +``` +```python [Python] +import apyds -=== "C++" +# Create a rule +rule = apyds.Rule("`x") - ```cpp - #include - #include - #include +# Rename with prefix and suffix +spec = apyds.Rule("((pre_) (_suf))") +result = rule.rename(spec) +print(result) # ----\n`pre_x_suf\n +``` +```cpp [C++] +#include +#include +#include - int main() { - // Create a rule - auto rule = ds::text_to_rule("`x", 1000); +int main() { + // Create a rule + auto rule = ds::text_to_rule("`x", 1000); - // Rename with prefix and suffix - auto spec = ds::text_to_rule("((pre_) (_suf))", 1000); + // Rename with prefix and suffix + auto spec = ds::text_to_rule("((pre_) (_suf))", 1000); - // Rename the rule - std::byte buffer[1000]; - auto result = reinterpret_cast(buffer); - result->rename(rule.get(), spec.get(), buffer + 1000); + // Rename the rule + std::byte buffer[1000]; + auto result = reinterpret_cast(buffer); + result->rename(rule.get(), spec.get(), buffer + 1000); - std::cout << ds::rule_to_text(result, 1000).get() << std::endl; // ----\n`pre_x_suf\n + std::cout << ds::rule_to_text(result, 1000).get() << std::endl; // ----\n`pre_x_suf\n - return 0; - } - ``` + return 0; +} +``` +::: ## Rule Comparison Rules can be compared for equality. Two rules are equal if they have the same binary representation. -=== "TypeScript" - - ```typescript - import { Rule } from "atsds"; - - const rule1 = new Rule("(a b c)"); - const rule2 = new Rule("(a b c)"); - const rule3 = new Rule("(a b d)"); - - console.log(rule1.key() === rule2.key()); // true - console.log(rule1.key() === rule3.key()); // false - ``` - -=== "Python" - - ```python - import apyds +::: code-group +```typescript [TypeScript] +import { Rule } from "atsds"; - rule1 = apyds.Rule("(a b c)") - rule2 = apyds.Rule("(a b c)") - rule3 = apyds.Rule("(a b d)") +const rule1 = new Rule("(a b c)"); +const rule2 = new Rule("(a b c)"); +const rule3 = new Rule("(a b d)"); - print(rule1 == rule2) # True - print(rule1 == rule3) # False - ``` - -=== "C++" - - ```cpp - #include - #include - #include - #include - - int main() { - auto rule1 = ds::text_to_rule("(a b c)", 1000); - auto rule2 = ds::text_to_rule("(a b c)", 1000); - auto rule3 = ds::text_to_rule("(a b d)", 1000); - - bool eq12 = rule1->data_size() == rule2->data_size() && - memcmp(rule1->head(), rule2->head(), rule1->data_size()) == 0; - bool eq13 = rule1->data_size() == rule3->data_size() && - memcmp(rule1->head(), rule3->head(), rule1->data_size()) == 0; - - std::cout << std::boolalpha; - std::cout << eq12 << std::endl; // true - std::cout << eq13 << std::endl; // false +console.log(rule1.key() === rule2.key()); // true +console.log(rule1.key() === rule3.key()); // false +``` +```python [Python] +import apyds - return 0; - } - ``` +rule1 = apyds.Rule("(a b c)") +rule2 = apyds.Rule("(a b c)") +rule3 = apyds.Rule("(a b d)") -## See Also +print(rule1 == rule2) # True +print(rule1 == rule3) # False +``` +```cpp [C++] +#include +#include +#include +#include + +int main() { + auto rule1 = ds::text_to_rule("(a b c)", 1000); + auto rule2 = ds::text_to_rule("(a b c)", 1000); + auto rule3 = ds::text_to_rule("(a b d)", 1000); + + bool eq12 = rule1->data_size() == rule2->data_size() && + memcmp(rule1->head(), rule2->head(), rule1->data_size()) == 0; + bool eq13 = rule1->data_size() == rule3->data_size() && + memcmp(rule1->head(), rule3->head(), rule1->data_size()) == 0; + + std::cout << std::boolalpha; + std::cout << eq12 << std::endl; // true + std::cout << eq13 << std::endl; // false + + return 0; +} +``` +::: -- [Terms](terms.md) - Building blocks for rules -- [Search Engine](search.md) - Performing inference with rules diff --git a/docs/concepts/search.md b/docs/concepts/search.md index fc9b252..3950817 100644 --- a/docs/concepts/search.md +++ b/docs/concepts/search.md @@ -11,49 +11,44 @@ The search engine: 3. Notifies you of each new inference via a callback 4. Automatically prevents duplicate inferences -!!! info "How It Works" - The search engine uses a forward-chaining inference approach: - - 1. When you call `execute()`, the engine tries to match the first premise of each rule with existing facts - 2. When a match is found, variables in the rule are substituted and a new rule (with one fewer premise) is created - 3. If the new rule has no premises, it becomes a new fact - 4. The callback is invoked for each newly derived rule - 5. Duplicate rules are automatically filtered out +::: tip How It Works +The search engine uses a forward-chaining inference approach: -## Creating a Search Engine - -=== "TypeScript" - - ```typescript - import { Search } from "atsds"; +1. When you call `execute()`, the engine tries to match the first premise of each rule with existing facts +2. When a match is found, variables in the rule are substituted and a new rule (with one fewer premise) is created +3. If the new rule has no premises, it becomes a new fact +4. The callback is invoked for each newly derived rule +5. Duplicate rules are automatically filtered out - // Create with default sizes - const search = new Search(); - - // Create with custom sizes - const search2 = new Search(1000, 10000); - ``` - -=== "Python" +::: +## Creating a Search Engine - ```python - import apyds +::: code-group +```typescript [TypeScript] +import { Search } from "atsds"; - # Create with default sizes - search = apyds.Search() +// Create with default sizes +const search = new Search(); - # Create with custom sizes - search = apyds.Search(limit_size=1000, buffer_size=10000) - ``` +// Create with custom sizes +const search2 = new Search(1000, 10000); +``` +```python [Python] +import apyds -=== "C++" +# Create with default sizes +search = apyds.Search() - ```cpp - #include +# Create with custom sizes +search = apyds.Search(limit_size=1000, buffer_size=10000) +``` +```cpp [C++] +#include - // Create search engine - ds::search_t search(1000, 10000); - ``` +// Create search engine +ds::search_t search(1000, 10000); +``` +::: ### Parameters @@ -64,99 +59,87 @@ The search engine: Use the `add()` method to add rules and facts to the knowledge base. -=== "TypeScript" - - ```typescript - import { Search } from "atsds"; - - const search = new Search(); - - // Add a fact - search.add("(parent john mary)"); - - // Add a rule with premises - search.add("(father `X `Y)\n----------\n(parent `X `Y)\n"); - ``` - -=== "Python" +::: code-group +```typescript [TypeScript] +import { Search } from "atsds"; - ```python - import apyds +const search = new Search(); - search = apyds.Search() +// Add a fact +search.add("(parent john mary)"); - # Add a fact - search.add("(parent john mary)") +// Add a rule with premises +search.add("(father `X `Y)\n----------\n(parent `X `Y)\n"); +``` +```python [Python] +import apyds - # Add a rule with premises - search.add("(father `X `Y)\n----------\n(parent `X `Y)\n") - ``` +search = apyds.Search() -=== "C++" +# Add a fact +search.add("(parent john mary)") - ```cpp - ds::search_t search(1000, 10000); +# Add a rule with premises +search.add("(father `X `Y)\n----------\n(parent `X `Y)\n") +``` +```cpp [C++] +ds::search_t search(1000, 10000); - // Add a fact - search.add("(parent john mary)"); +// Add a fact +search.add("(parent john mary)"); - // Add a rule - search.add("(father `X `Y)\n----------\n(parent `X `Y)\n"); - ``` +// Add a rule +search.add("(father `X `Y)\n----------\n(parent `X `Y)\n"); +``` +::: ## Executing Search The `execute()` method performs one round of inference. It matches all rules against all facts and generates new conclusions. -=== "TypeScript" - - ```typescript - import { Search } from "atsds"; - - const search = new Search(); - search.add("(father `X `Y)\n----------\n(parent `X `Y)\n"); - search.add("(father john mary)"); - - const count = search.execute((rule) => { - console.log(`Found: ${rule.toString()}`); - return false; // Continue searching - }); - - console.log(`Generated ${count} new facts`); - ``` - -=== "Python" - - ```python - import apyds - - search = apyds.Search() - search.add("(father `X `Y)\n----------\n(parent `X `Y)\n") - search.add("(father john mary)") - - def callback(rule): - print(f"Found: {rule}") - return False # Continue searching - - # Execute one round - count = search.execute(callback) - print(f"Generated {count} new facts") - ``` - -=== "C++" - - ```cpp - ds::search_t search(1000, 10000); - search.add("(father `X `Y)\n----------\n(parent `X `Y)\n"); - search.add("(father john mary)"); - - auto count = search.execute([](ds::rule_t* rule) { - printf("Found: %s\n", ds::rule_to_text(rule, 1000).get()); - return false; // Continue searching - }); - - printf("Generated %lu new facts\n", count); - ``` +::: code-group +```typescript [TypeScript] +import { Search } from "atsds"; + +const search = new Search(); +search.add("(father `X `Y)\n----------\n(parent `X `Y)\n"); +search.add("(father john mary)"); + +const count = search.execute((rule) => { + console.log(`Found: ${rule.toString()}`); + return false; // Continue searching +}); + +console.log(`Generated ${count} new facts`); +``` +```python [Python] +import apyds + +search = apyds.Search() +search.add("(father `X `Y)\n----------\n(parent `X `Y)\n") +search.add("(father john mary)") + +def callback(rule): + print(f"Found: {rule}") + return False # Continue searching + +# Execute one round +count = search.execute(callback) +print(f"Generated {count} new facts") +``` +```cpp [C++] +ds::search_t search(1000, 10000); +search.add("(father `X `Y)\n----------\n(parent `X `Y)\n"); +search.add("(father john mary)"); + +auto count = search.execute([](ds::rule_t* rule) { + printf("Found: %s\n", ds::rule_to_text(rule, 1000).get()); + return false; // Continue searching +}); + +printf("Generated %lu new facts\n", count); +``` +::: ### Callback Function @@ -169,65 +152,62 @@ The callback receives each newly inferred rule and should return: To search until a specific target is found: -=== "TypeScript" - - ```typescript - import { Rule, Search } from "atsds"; - - const search = new Search(1000, 10000); - - // Set up propositional logic - search.add("(`P -> `Q) `P `Q"); - search.add("(`p -> (`q -> `p))"); - search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); - search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); - search.add("(! (! X))"); - - const target = new Rule("X"); - - while (true) { - let found = false; - search.execute((candidate) => { - if (candidate.key() === target.key()) { - console.log("Found:", candidate.toString()); - found = true; - return true; - } - return false; - }); - if (found) break; - } - ``` - -=== "Python" - - ```python - import apyds - - search = apyds.Search(1000, 10000) - - # Set up propositional logic - search.add("(`P -> `Q) `P `Q") # Modus ponens - search.add("(`p -> (`q -> `p))") # Axiom 1 - search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))") # Axiom 2 - search.add("(((! `p) -> (! `q)) -> (`q -> `p))") # Axiom 3 - search.add("(! (! X))") # Premise - - target = apyds.Rule("X") - - while True: - found = False - def check(candidate): - global found - if candidate == target: - print(f"Found: {candidate}") - found = True - return True - return False - search.execute(check) - if found: - break - ``` +::: code-group +```typescript [TypeScript] +import { Rule, Search } from "atsds"; + +const search = new Search(1000, 10000); + +// Set up propositional logic +search.add("(`P -> `Q) `P `Q"); +search.add("(`p -> (`q -> `p))"); +search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); +search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); +search.add("(! (! X))"); + +const target = new Rule("X"); + +while (true) { + let found = false; + search.execute((candidate) => { + if (candidate.key() === target.key()) { + console.log("Found:", candidate.toString()); + found = true; + return true; + } + return false; + }); + if (found) break; +} +``` +```python [Python] +import apyds + +search = apyds.Search(1000, 10000) + +# Set up propositional logic +search.add("(`P -> `Q) `P `Q") # Modus ponens +search.add("(`p -> (`q -> `p))") # Axiom 1 +search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))") # Axiom 2 +search.add("(((! `p) -> (! `q)) -> (`q -> `p))") # Axiom 3 +search.add("(! (! X))") # Premise + +target = apyds.Rule("X") + +while True: + found = False + def check(candidate): + global found + if candidate == target: + print(f"Found: {candidate}") + found = True + return True + return False + search.execute(check) + if found: + break +``` +::: ## Configuration Methods @@ -235,67 +215,49 @@ To search until a specific target is found: Controls the maximum size for each stored rule/fact: -=== "TypeScript" - - ```typescript - search.set_limit_size(2000); - ``` - -=== "Python" - - ```python - search.set_limit_size(2000) - ``` - -=== "C++" - - ```cpp - search.set_limit_size(2000); - ``` +::: code-group +```typescript [TypeScript] +search.set_limit_size(2000); +``` +```python [Python] +search.set_limit_size(2000) +``` +```cpp [C++] +search.set_limit_size(2000); +``` +::: ### Set Buffer Size Controls the internal buffer size for operations: -=== "TypeScript" - - ```typescript - search.set_buffer_size(20000); - ``` - -=== "Python" - - ```python - search.set_buffer_size(20000) - ``` - -=== "C++" - - ```cpp - search.set_buffer_size(20000); - ``` +::: code-group +```typescript [TypeScript] +search.set_buffer_size(20000); +``` +```python [Python] +search.set_buffer_size(20000) +``` +```cpp [C++] +search.set_buffer_size(20000); +``` +::: ### Reset Clears all rules and facts: -=== "TypeScript" - - ```typescript - search.reset(); - ``` - -=== "Python" - - ```python - search.reset() - ``` - -=== "C++" - - ```cpp - search.reset(); - ``` +::: code-group +```typescript [TypeScript] +search.reset(); +``` +```python [Python] +search.reset() +``` +```cpp [C++] +search.reset(); +``` +::: ## Performance Considerations @@ -305,7 +267,3 @@ Clears all rules and facts: 4. **Early Termination**: Return `true` from callback to stop as soon as target is found 5. **Deduplication**: The engine automatically deduplicates facts, avoiding redundant computation -## See Also - -- [Terms](terms.md) - Building blocks for the search -- [Rules](rules.md) - How rules are structured and matched diff --git a/docs/concepts/terms.md b/docs/concepts/terms.md index ac6b150..09bdb71 100644 --- a/docs/concepts/terms.md +++ b/docs/concepts/terms.md @@ -19,9 +19,10 @@ Variables are placeholders that can be unified with other terms during inference Variables are used in rules to represent any term that can match during unification. During the inference process, variables can be bound to specific terms through unification. -!!! tip "Variable Naming" - Variable names can contain any characters except backtick, whitespace and parentheses. By convention, single uppercase letters like `` `X``, `` `P``, `` `Q`` are often used for simple logic, while descriptive names like `` `person`` or `` `result`` improve readability in complex rules. +::: tip Variable Naming +Variable names can contain any characters except backtick, whitespace and parentheses. By convention, single uppercase letters like `` `X``, `` `P``, `` `Q`` are often used for simple logic, while descriptive names like `` `person`` or `` `result`` improve readability in complex rules. +::: ### Items Items represent constants or functors. They are atomic values without any special prefix. @@ -40,9 +41,10 @@ Items can represent: - **Functors**: Symbols that combine other terms, like `father`, `->`, `!` - **Operators**: Special symbols used in logical expressions, like `->` for implication or `!` for negation -!!! note "Item Characters" - Items can contain any characters except backtick, whitespace and parentheses. Special symbols like `->`, `!`, `<-`, `&&`, `||` are commonly used as logical operators. +::: tip Item Characters +Items can contain any characters except backtick, whitespace and parentheses. Special symbols like `->`, `!`, `<-`, `&&`, `||` are commonly used as logical operators. +::: ### Lists Lists are ordered sequences of terms enclosed in parentheses. They can contain any combination of variables, items, and nested lists. @@ -61,80 +63,75 @@ Lists are the primary way to build complex structures in the deductive system. T - **Nested structures**: `(! (! X))` - "not not X" (double negation) - **Data collections**: `(1 2 3 4 5)` - a list of numbers -!!! example "List Nesting" - Lists can be nested to any depth: - ``` - ((a b) (c d) (e f)) - (if (> `x 0) (positive `x) (non-positive `x)) - ``` +::: tip List Nesting +Lists can be nested to any depth: +``` +((a b) (c d) (e f)) +(if (> `x 0) (positive `x) (non-positive `x)) +``` +::: ## Creating Terms -=== "TypeScript" +::: code-group +```typescript [TypeScript] +import { Variable, Item, List, Term } from "atsds"; - ```typescript - import { Variable, Item, List, Term } from "atsds"; +// Create a variable +const var1 = new Variable("`X"); +console.log(`Variable name: ${var1.name().toString()}`); // X - // Create a variable - const var1 = new Variable("`X"); - console.log(`Variable name: ${var1.name().toString()}`); // X +// Create an item +const item = new Item("hello"); +console.log(`Item name: ${item.name().toString()}`); // hello - // Create an item - const item = new Item("hello"); - console.log(`Item name: ${item.name().toString()}`); // hello +// Create a list +const lst = new List("(a b c)"); +console.log(`List length: ${lst.length()}`); // 3 +console.log(`First element: ${lst.getitem(0).toString()}`); // a - // Create a list - const lst = new List("(a b c)"); - console.log(`List length: ${lst.length()}`); // 3 - console.log(`First element: ${lst.getitem(0).toString()}`); // a +// Create a generic term +const term = new Term("(f `x)"); +// Access the underlying type +const inner = term.term(); // Returns a List +``` +```python [Python] +import apyds + +# Create a variable +var = apyds.Variable("`X") +print(f"Variable name: {var.name}") # X + +# Create an item +item = apyds.Item("hello") +print(f"Item name: {item.name}") # hello + +# Create a list +lst = apyds.List("(a b c)") +print(f"List length: {len(lst)}") # 3 +print(f"First element: {lst[0]}") # a + +# Create a generic term +term = apyds.Term("(f `x)") +# Access the underlying type +inner = term.term # Returns a List +``` +```cpp [C++] +#include +#include +#include +int main() { // Create a generic term - const term = new Term("(f `x)"); + auto term = ds::text_to_term("(f `x)", 1000); // Access the underlying type - const inner = term.term(); // Returns a List - ``` - -=== "Python" - - ```python - import apyds - - # Create a variable - var = apyds.Variable("`X") - print(f"Variable name: {var.name}") # X - - # Create an item - item = apyds.Item("hello") - print(f"Item name: {item.name}") # hello - - # Create a list - lst = apyds.List("(a b c)") - print(f"List length: {len(lst)}") # 3 - print(f"First element: {lst[0]}") # a - - # Create a generic term - term = apyds.Term("(f `x)") - # Access the underlying type - inner = term.term # Returns a List - ``` - -=== "C++" - - ```cpp - #include - #include - #include - - int main() { - // Create a generic term - auto term = ds::text_to_term("(f `x)", 1000); - // Access the underlying type - auto list = term->list(); - auto item = list->term(0)->item(); - auto variable = list->term(1)->variable(); - return 0; - } - ``` + auto list = term->list(); + auto item = list->term(0)->item(); + auto variable = list->term(1)->variable(); + return 0; +} +``` +::: ## Term Operations @@ -142,236 +139,211 @@ Lists are the primary way to build complex structures in the deductive system. T Grounding substitutes variables in a term with values from a dictionary. The dictionary is a list of key-value pairs where each key is a variable and each value is its substitution. -=== "TypeScript" +::: code-group +```typescript [TypeScript] +import { Term } from "atsds"; - ```typescript - import { Term } from "atsds"; +// Create a term with a variable +const term = new Term("`a"); - // Create a term with a variable - const term = new Term("`a"); +// Create a dictionary for substitution +const dictionary = new Term("((`a b))"); - // Create a dictionary for substitution - const dictionary = new Term("((`a b))"); +// Ground the term +const result = term.ground(dictionary); +if (result !== null) { + console.log(result.toString()); // b +} +``` +```python [Python] +import apyds - // Ground the term - const result = term.ground(dictionary); - if (result !== null) { - console.log(result.toString()); // b - } - ``` +# Create a term with a variable +term = apyds.Term("`a") -=== "Python" +# Create a dictionary for substitution +# Format: ((variable value) ...) +dictionary = apyds.Term("((`a b))") - ```python - import apyds +# Ground the term +result = term.ground(dictionary) +print(result) # b +``` +```cpp [C++] +#include +#include +#include - # Create a term with a variable - term = apyds.Term("`a") +int main() { + // Create a term with a variable + auto term = ds::text_to_term("`a", 1000); - # Create a dictionary for substitution - # Format: ((variable value) ...) - dictionary = apyds.Term("((`a b))") + // Create a dictionary for substitution + auto dictionary = ds::text_to_term("((`a b))", 1000); - # Ground the term - result = term.ground(dictionary) - print(result) # b - ``` + // Ground the term + std::byte buffer[1000]; + auto result = reinterpret_cast(buffer); + result->ground(term.get(), dictionary.get(), nullptr, buffer + 1000); -=== "C++" + std::cout << ds::term_to_text(result, 1000).get() << std::endl; // b - ```cpp - #include - #include - #include + return 0; +} +``` +::: - int main() { - // Create a term with a variable - auto term = ds::text_to_term("`a", 1000); +### Matching - // Create a dictionary for substitution - auto dictionary = ds::text_to_term("((`a b))", 1000); +Matching unifies two terms and returns a dictionary of variable bindings. The dictionary contains the substitutions needed to make the two terms equal. - // Ground the term - std::byte buffer[1000]; - auto result = reinterpret_cast(buffer); - result->ground(term.get(), dictionary.get(), nullptr, buffer + 1000); +::: code-group +```typescript [TypeScript] +import { Term } from "atsds"; - std::cout << ds::term_to_text(result, 1000).get() << std::endl; // b +// Match a variable with a value +const a = new Term("`a"); +const b = new Term("value"); - return 0; - } - ``` +const result = a.match(b); +if (result !== null) { + console.log(result.toString()); // ((1 2 `a value)) +} -### Matching +// Match complex terms +const term1 = new Term("(f b a)"); +const term2 = new Term("(f `x a)"); -Matching unifies two terms and returns a dictionary of variable bindings. The dictionary contains the substitutions needed to make the two terms equal. +const dict = term1.match(term2); +if (dict !== null) { + console.log(dict.toString()); // ((2 1 `x b)) +} +``` +```python [Python] +import apyds -=== "TypeScript" +# Match a variable with a value +a = apyds.Term("`a") +b = apyds.Term("value") - ```typescript - import { Term } from "atsds"; +result = a @ b # Uses @ operator +print(result) # ((1 2 `a value)) - // Match a variable with a value - const a = new Term("`a"); - const b = new Term("value"); - - const result = a.match(b); - if (result !== null) { - console.log(result.toString()); // ((1 2 `a value)) - } - - // Match complex terms - const term1 = new Term("(f b a)"); - const term2 = new Term("(f `x a)"); - - const dict = term1.match(term2); - if (dict !== null) { - console.log(dict.toString()); // ((2 1 `x b)) - } - ``` - -=== "Python" - - ```python - import apyds - - # Match a variable with a value - a = apyds.Term("`a") - b = apyds.Term("value") - - result = a @ b # Uses @ operator - print(result) # ((1 2 `a value)) - - # Match complex terms - term1 = apyds.Term("(f b a)") - term2 = apyds.Term("(f `x a)") - - dict_result = term1 @ term2 - print(dict_result) # ((2 1 `x b)) - ``` - -=== "C++" - - ```cpp - #include - #include - #include - - int main() { - // Match a variable with a value - auto a = ds::text_to_term("`a", 1000); - auto b = ds::text_to_term("value", 1000); - - // Match the terms - std::byte buffer[1000]; - auto result = reinterpret_cast(buffer); - result->match(a.get(), b.get(), "1", "2", buffer + 1000); - - std::cout << ds::term_to_text(result, 1000).get() << std::endl; // ((1 2 `a value)) - - return 0; - } - ``` +# Match complex terms +term1 = apyds.Term("(f b a)") +term2 = apyds.Term("(f `x a)") -### Renaming +dict_result = term1 @ term2 +print(dict_result) # ((2 1 `x b)) +``` +```cpp [C++] +#include +#include +#include -Renaming adds prefixes and/or suffixes to all variables in a term. This is useful for avoiding variable name collisions during unification. +int main() { + // Match a variable with a value + auto a = ds::text_to_term("`a", 1000); + auto b = ds::text_to_term("value", 1000); -=== "TypeScript" + // Match the terms + std::byte buffer[1000]; + auto result = reinterpret_cast(buffer); + result->match(a.get(), b.get(), "1", "2", buffer + 1000); - ```typescript - import { Term } from "atsds"; + std::cout << ds::term_to_text(result, 1000).get() << std::endl; // ((1 2 `a value)) - // Create a term with a variable - const term = new Term("`x"); + return 0; +} +``` +::: - // Create prefix and suffix specification - const spec = new Term("((pre_) (_suf))"); +### Renaming - // Rename the term - const result = term.rename(spec); - if (result !== null) { - console.log(result.toString()); // `pre_x_suf - } - ``` +Renaming adds prefixes and/or suffixes to all variables in a term. This is useful for avoiding variable name collisions during unification. -=== "Python" +::: code-group +```typescript [TypeScript] +import { Term } from "atsds"; - ```python - import apyds +// Create a term with a variable +const term = new Term("`x"); - # Create a term with a variable - term = apyds.Term("`x") +// Create prefix and suffix specification +const spec = new Term("((pre_) (_suf))"); - # Create prefix and suffix specification - # Format: ((prefix) (suffix)) - spec = apyds.Term("((pre_) (_suf))") +// Rename the term +const result = term.rename(spec); +if (result !== null) { + console.log(result.toString()); // `pre_x_suf +} +``` +```python [Python] +import apyds - # Rename the term - result = term.rename(spec) - print(result) # `pre_x_suf - ``` +# Create a term with a variable +term = apyds.Term("`x") -=== "C++" +# Create prefix and suffix specification +# Format: ((prefix) (suffix)) +spec = apyds.Term("((pre_) (_suf))") - ```cpp - #include - #include - #include +# Rename the term +result = term.rename(spec) +print(result) # `pre_x_suf +``` +```cpp [C++] +#include +#include +#include - int main() { - // Create a term with a variable - auto term = ds::text_to_term("`x", 1000); +int main() { + // Create a term with a variable + auto term = ds::text_to_term("`x", 1000); - // Create prefix and suffix specification - auto spec = ds::text_to_term("((pre_) (_suf))", 1000); + // Create prefix and suffix specification + auto spec = ds::text_to_term("((pre_) (_suf))", 1000); - // Rename the term - std::byte buffer[1000]; - auto result = reinterpret_cast(buffer); - result->rename(term.get(), spec.get(), buffer + 1000); + // Rename the term + std::byte buffer[1000]; + auto result = reinterpret_cast(buffer); + result->rename(term.get(), spec.get(), buffer + 1000); - std::cout << ds::term_to_text(result, 1000).get() << std::endl; // `pre_x_suf + std::cout << ds::term_to_text(result, 1000).get() << std::endl; // `pre_x_suf - return 0; - } - ``` + return 0; +} +``` +::: ## Buffer Size Operations like grounding and renaming require buffer space for intermediate results in TypeScript/Javascript and Python. You can control this using buffer size functions. -=== "TypeScript" - - ```typescript - import { buffer_size } from "atsds"; +::: code-group +```typescript [TypeScript] +import { buffer_size } from "atsds"; - // Get current buffer size - const current = buffer_size(); +// Get current buffer size +const current = buffer_size(); - // Set new buffer size (returns previous value) - const old = buffer_size(4096); - ``` - -=== "Python" - - ```python - import apyds - - # Get current buffer size - current = apyds.buffer_size() +// Set new buffer size (returns previous value) +const old = buffer_size(4096); +``` +```python [Python] +import apyds - # Set new buffer size (returns previous value) - old = apyds.buffer_size(4096) +# Get current buffer size +current = apyds.buffer_size() - # Use context manager for temporary change - with apyds.scoped_buffer_size(8192): - # Operations here use buffer size of 8192 - pass - # Buffer size restored to previous value - ``` +# Set new buffer size (returns previous value) +old = apyds.buffer_size(4096) -## See Also +# Use context manager for temporary change +with apyds.scoped_buffer_size(8192): + # Operations here use buffer size of 8192 + pass +# Buffer size restored to previous value +``` +::: -- [Rules](rules.md) - How to create and work with inference rules -- [Search Engine](search.md) - Performing logical inference diff --git a/docs/examples/Sudoku.vue b/docs/examples/Sudoku.vue index 8f6f064..93438dc 100644 --- a/docs/examples/Sudoku.vue +++ b/docs/examples/Sudoku.vue @@ -238,7 +238,7 @@ import { ref, nextTick, useTemplateRef } from "vue"; import { render } from "ejs"; import { Search } from "atsds"; -const rule_data_url = "./Sudoku.ejs"; +const rule_data_url = "/examples/Sudoku.ejs"; const logRef = useTemplateRef("logRef"); const example = ` 945 4 @@ -255,10 +255,12 @@ const log = ref(""); const run = ref(false); const inputRef = ref(Array.from({ length: 9 }, () => Array.from({ length: 9 }, () => null))); +// biome-ignore lint/correctness/noUnusedVariables: used in template function focusInput(event) { event.target.select(); } +// biome-ignore lint/correctness/noUnusedVariables: used in template function blurInput(rowIndex, colIndex) { const value = grid.value[rowIndex][colIndex]; if (![1, 2, 3, 4, 5, 6, 7, 8, 9].includes(value)) { @@ -266,6 +268,7 @@ function blurInput(rowIndex, colIndex) { } } +// biome-ignore lint/correctness/noUnusedVariables: used in template function keyDownInput(event, row, col) { const { key } = event; let newRow = row; @@ -293,12 +296,14 @@ function keyDownInput(event, row, col) { } } +// biome-ignore lint/correctness/noUnusedVariables: used in template function refInput(el, row, col) { inputRef.value[row][col] = el; } let generator = null; +// biome-ignore lint/correctness/noUnusedVariables: used in template function clearSudoku() { grid.value = Array.from({ length: 9 }, () => Array.from({ length: 9 }, () => "")); log.value = ""; @@ -306,6 +311,7 @@ function clearSudoku() { generator = null; } +// biome-ignore lint/correctness/noUnusedVariables: used in template async function solveSudoku() { if (!generator) { generator = search(); @@ -325,6 +331,7 @@ async function solveSudoku() { } } +// biome-ignore lint/correctness/noUnusedVariables: used in template async function updateSudoku() { if (!generator) { generator = search(); diff --git a/docs/examples/basic.md b/docs/examples/basic.md index 805403b..8425eaa 100644 --- a/docs/examples/basic.md +++ b/docs/examples/basic.md @@ -13,14 +13,87 @@ The classic example demonstrates double negation elimination using propositional Given the premise ¬¬X (double negation of X), we can derive X. -=== "TypeScript" - - ```typescript - import { Rule, Search } from "atsds"; - - // Create a search engine - const search = new Search(1000, 10000); - +::: code-group +```typescript [TypeScript] +import { Rule, Search } from "atsds"; + +// Create a search engine +const search = new Search(1000, 10000); + +// Modus ponens: P -> Q, P |- Q +search.add("(`P -> `Q) `P `Q"); +// Axiom schema 1: p -> (q -> p) +search.add("(`p -> (`q -> `p))"); +// Axiom schema 2: (p -> (q -> r)) -> ((p -> q) -> (p -> r)) +search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); +// Axiom schema 3: (!p -> !q) -> (q -> p) +search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); + +// Premise: !!X +search.add("(! (! X))"); + +// Target: X (double negation elimination) +const target = new Rule("X"); + +// Execute search until target is found +while (true) { + let found = false; + search.execute((candidate) => { + if (candidate.key() === target.key()) { + console.log("Found:", candidate.toString()); + found = true; + return true; // Stop search + } + return false; // Continue searching + }); + if (found) break; +} +``` +```python [Python] +import apyds + +# Create a search engine +search = apyds.Search(1000, 10000) + +# Modus ponens: P -> Q, P |- Q +search.add("(`P -> `Q) `P `Q") +# Axiom schema 1: p -> (q -> p) +search.add("(`p -> (`q -> `p))") +# Axiom schema 2: (p -> (q -> r)) -> ((p -> q) -> (p -> r)) +search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))") +# Axiom schema 3: (!p -> !q) -> (q -> p) +search.add("(((! `p) -> (! `q)) -> (`q -> `p))") + +# Premise: !!X +search.add("(! (! X))") + +# Target: X (double negation elimination) +target = apyds.Rule("X") + +# Execute search until target is found +while True: + found = False + def callback(candidate): + global found + if candidate == target: + print("Found:", candidate) + found = True + return True # Stop search + return False # Continue searching + search.execute(callback) + if found: + break +``` +```cpp [C++] +#include +#include +#include +#include +#include + +int main() { + ds::search_t search(1000, 10000); + // Modus ponens: P -> Q, P |- Q search.add("(`P -> `Q) `P `Q"); // Axiom schema 1: p -> (q -> p) @@ -29,19 +102,20 @@ Given the premise ¬¬X (double negation of X), we can derive X. search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); // Axiom schema 3: (!p -> !q) -> (q -> p) search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); - + // Premise: !!X search.add("(! (! X))"); - + // Target: X (double negation elimination) - const target = new Rule("X"); - + auto target = ds::text_to_rule("X", 1000); + // Execute search until target is found while (true) { - let found = false; - search.execute((candidate) => { - if (candidate.key() === target.key()) { - console.log("Found:", candidate.toString()); + bool found = false; + search.execute([&](ds::rule_t* candidate) { + if (candidate->data_size() == target->data_size() && + memcmp(candidate->head(), target->head(), candidate->data_size()) == 0) { + printf("Found: %s", ds::rule_to_text(candidate, 1000).get()); found = true; return true; // Stop search } @@ -49,91 +123,11 @@ Given the premise ¬¬X (double negation of X), we can derive X. }); if (found) break; } - ``` - -=== "Python" - - ```python - import apyds - - # Create a search engine - search = apyds.Search(1000, 10000) - - # Modus ponens: P -> Q, P |- Q - search.add("(`P -> `Q) `P `Q") - # Axiom schema 1: p -> (q -> p) - search.add("(`p -> (`q -> `p))") - # Axiom schema 2: (p -> (q -> r)) -> ((p -> q) -> (p -> r)) - search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))") - # Axiom schema 3: (!p -> !q) -> (q -> p) - search.add("(((! `p) -> (! `q)) -> (`q -> `p))") - - # Premise: !!X - search.add("(! (! X))") - - # Target: X (double negation elimination) - target = apyds.Rule("X") - - # Execute search until target is found - while True: - found = False - def callback(candidate): - global found - if candidate == target: - print("Found:", candidate) - found = True - return True # Stop search - return False # Continue searching - search.execute(callback) - if found: - break - ``` - -=== "C++" - - ```cpp - #include - #include - #include - #include - #include - - int main() { - ds::search_t search(1000, 10000); - - // Modus ponens: P -> Q, P |- Q - search.add("(`P -> `Q) `P `Q"); - // Axiom schema 1: p -> (q -> p) - search.add("(`p -> (`q -> `p))"); - // Axiom schema 2: (p -> (q -> r)) -> ((p -> q) -> (p -> r)) - search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); - // Axiom schema 3: (!p -> !q) -> (q -> p) - search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); - - // Premise: !!X - search.add("(! (! X))"); - - // Target: X (double negation elimination) - auto target = ds::text_to_rule("X", 1000); - - // Execute search until target is found - while (true) { - bool found = false; - search.execute([&](ds::rule_t* candidate) { - if (candidate->data_size() == target->data_size() && - memcmp(candidate->head(), target->head(), candidate->data_size()) == 0) { - printf("Found: %s", ds::rule_to_text(candidate, 1000).get()); - found = true; - return true; // Stop search - } - return false; // Continue searching - }); - if (found) break; - } - - return 0; - } - ``` + + return 0; +} +``` +::: ## Running the Examples diff --git a/docs/examples/sudoku.md b/docs/examples/sudoku.md index 55397da..526d72e 100644 --- a/docs/examples/sudoku.md +++ b/docs/examples/sudoku.md @@ -12,32 +12,10 @@ The Sudoku solver encodes Sudoku rules as logical inference rules in the DS syst ## Interactive Demo -
-

- Loading Sudoku Solver... -

-
- - + + + + \ No newline at end of file diff --git a/docs/getting-started/installation.md b/docs/getting-started/installation.md index edd3d8b..91af553 100644 --- a/docs/getting-started/installation.md +++ b/docs/getting-started/installation.md @@ -171,36 +171,29 @@ ctest ## Verifying Installation -=== "TypeScript" - - ```typescript - import { Term } from "atsds"; - - const term = new Term("(hello world)"); - console.log(term.toString()); - // Output: (hello world) - ``` - -=== "Python" - - ```python - import apyds - print(f"Version: {apyds.__version__}") - - term = apyds.Term("(hello world)") - print(term) # (hello world) - ``` - -=== "C++" - - ```cpp - #include - #include - #include - - int main() { - auto term = ds::text_to_term("(hello world)", 1000); - std::cout << ds::term_to_text(term.get(), 1000).get() << std::endl; - return 0; - } - ``` +::: code-group +```typescript [TypeScript] +import { Term } from "atsds"; + +const term = new Term("(hello world)"); +console.log(term.toString()); +// Output: (hello world) +``` +```python [Python] +import apyds + +term = apyds.Term("(hello world)") +print(term) # (hello world) +``` +```cpp [C++] +#include +#include +#include + +int main() { + auto term = ds::text_to_term("(hello world)", 1000); + std::cout << ds::term_to_text(term.get(), 1000).get() << std::endl; + return 0; +} +``` +::: diff --git a/docs/getting-started/quickstart.md b/docs/getting-started/quickstart.md index 60ec9cb..7b5e92e 100644 --- a/docs/getting-started/quickstart.md +++ b/docs/getting-started/quickstart.md @@ -10,138 +10,198 @@ Terms are the basic building blocks of the deductive system. A term can be: - **Item**: Constants or functors, e.g., `a`, `father`, `!` - **List**: Ordered sequences in parentheses, e.g., `(a b c)` -=== "TypeScript" - - ```typescript - import { Variable, Item, List, Term } from "atsds"; - - // Create different types of terms - const var1 = new Variable("`X"); - const item = new Item("hello"); - const lst = new List("(a b c)"); - const term = new Term("(f `x a)"); - - console.log(`Variable: ${var1.toString()}`); // `X - console.log(`Item: ${item.toString()}`); // hello - console.log(`List: ${lst.toString()}`); // (a b c) - console.log(`Term: ${term.toString()}`); // (f `x a) - ``` - -=== "Python" - - ```python - import apyds - - # Create different types of terms - var = apyds.Variable("`X") - item = apyds.Item("hello") - lst = apyds.List("(a b c)") - term = apyds.Term("(f `x a)") - - print(f"Variable: {var}") # `X - print(f"Item: {item}") # hello - print(f"List: {lst}") # (a b c) - print(f"Term: {term}") # (f `x a) - ``` - -=== "C++" - - ```cpp - #include - #include - #include - - int main() { - auto term = ds::text_to_term("(f `x a)", 1000); - std::cout << "Term: " << ds::term_to_text(term.get(), 1000).get() << std::endl; - return 0; - } - ``` +::: code-group +```typescript [TypeScript] +import { Variable, Item, List, Term } from "atsds"; + +// Create different types of terms +const var1 = new Variable("`X"); +const item = new Item("hello"); +const lst = new List("(a b c)"); +const term = new Term("(f `x a)"); + +console.log(`Variable: ${var1.toString()}`); // `X +console.log(`Item: ${item.toString()}`); // hello +console.log(`List: ${lst.toString()}`); // (a b c) +console.log(`Term: ${term.toString()}`); // (f `x a) +``` +```python [Python] +import apyds + +# Create different types of terms +var = apyds.Variable("`X") +item = apyds.Item("hello") +lst = apyds.List("(a b c)") +term = apyds.Term("(f `x a)") + +print(f"Variable: {var}") # `X +print(f"Item: {item}") # hello +print(f"List: {lst}") # (a b c) +print(f"Term: {term}") # (f `x a) +``` +```cpp [C++] +#include +#include +#include + +int main() { + auto term = ds::text_to_term("(f `x a)", 1000); + std::cout << "Term: " << ds::term_to_text(term.get(), 1000).get() << std::endl; + return 0; +} +``` +::: ## Creating Rules Rules represent logical inference steps. A rule has premises (conditions) and a conclusion. -=== "TypeScript" - - ```typescript - import { Rule } from "atsds"; - - // A fact (rule with no premises) - const fact = new Rule("(parent john mary)"); - console.log(`Fact: ${fact.toString()}`); - - // A rule with premises - const rule = new Rule("(father `X `Y)\n----------\n(parent `X `Y)\n"); - console.log(`Rule premises: ${rule.length()}`); - console.log(`Rule conclusion: ${rule.conclusion().toString()}`); - ``` - -=== "Python" +::: code-group +```typescript [TypeScript] +import { Rule } from "atsds"; + +// A fact (rule with no premises) +const fact = new Rule("(parent john mary)"); +console.log(`Fact: ${fact.toString()}`); + +// A rule with premises +const rule = new Rule("(father `X `Y)\n----------\n(parent `X `Y)\n"); +console.log(`Rule premises: ${rule.length()}`); +console.log(`Rule conclusion: ${rule.conclusion().toString()}`); +``` +```python [Python] +import apyds + +# A fact (rule with no premises) +fact = apyds.Rule("(parent john mary)") +print(f"Fact: {fact}") + +# A rule with premises +# Format: premise1\npremise2\nconclusion\n +rule = apyds.Rule("(father `X `Y)\n----------\n(parent `X `Y)\n") +print(f"Rule premises: {len(rule)}") +print(f"Rule conclusion: {rule.conclusion}") +``` +```cpp [C++] +#include +#include +#include + +int main() { + auto fact = ds::text_to_rule("(parent john mary)", 1000); + auto rule = ds::text_to_rule("(father `X `Y)\n----------\n(parent `X `Y)\n", 1000); + + std::cout << "Rule premises: " << rule->premises_count() << std::endl; + std::cout << "Rule conclusion: " << ds::term_to_text(fact->conclusion(), 1000).get() << std::endl; + return 0; +} +``` +::: - ```python - import apyds - - # A fact (rule with no premises) - fact = apyds.Rule("(parent john mary)") - print(f"Fact: {fact}") - - # A rule with premises - # Format: premise1\npremise2\nconclusion\n - rule = apyds.Rule("(father `X `Y)\n----------\n(parent `X `Y)\n") - print(f"Rule premises: {len(rule)}") - print(f"Rule conclusion: {rule.conclusion}") - ``` - -=== "C++" +## Using the Search Engine - ```cpp - #include - #include - #include +The search engine performs logical inference by matching rules with facts. - int main() { - auto fact = ds::text_to_rule("(parent john mary)", 1000); - auto rule = ds::text_to_rule("(father `X `Y)\n----------\n(parent `X `Y)\n", 1000); +::: code-group +```typescript [TypeScript] +import { Rule, Search } from "atsds"; - std::cout << "Rule premises: " << rule->premises_count() << std::endl; - std::cout << "Rule conclusion: " << ds::term_to_text(fact->conclusion(), 1000).get() << std::endl; - return 0; - } - ``` +// Create search engine +const search = new Search(1000, 10000); -## Using the Search Engine +// Add modus ponens: P -> Q, P |- Q +search.add("(`P -> `Q) `P `Q"); -The search engine performs logical inference by matching rules with facts. +// Add axiom schemas +search.add("(`p -> (`q -> `p))"); // Axiom 1 +search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); // Axiom 2 +search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); // Axiom 3 -=== "TypeScript" +// Add premise: !!X (double negation) +search.add("(! (! X))"); - ```typescript - import { Rule, Search } from "atsds"; +// Define target: X +const target = new Rule("X"); - // Create search engine - const search = new Search(1000, 10000); +// Execute search +while (true) { + let found = false; + search.execute((candidate) => { + if (candidate.key() === target.key()) { + console.log("Found:", candidate.toString()); + found = true; + return true; + } + return false; + }); + if (found) break; +} +``` +```python [Python] +import apyds + +# Create search engine +search = apyds.Search(1000, 10000) + +# Add modus ponens: P -> Q, P |- Q +search.add("(`P -> `Q) `P `Q") + +# Add axiom schemas +search.add("(`p -> (`q -> `p))") # Axiom 1 +search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))") # Axiom 2 +search.add("(((! `p) -> (! `q)) -> (`q -> `p))") # Axiom 3 + +# Add premise: !!X (double negation) +search.add("(! (! X))") + +# Define target: X +target = apyds.Rule("X") + +# Execute search +while True: + found = False + def callback(candidate): + global found + if candidate == target: + print(f"Found: {candidate}") + found = True + return True + return False + search.execute(callback) + if found: + break +``` +```cpp [C++] +#include +#include +#include +#include +#include + +int main() { + ds::search_t search(1000, 10000); // Add modus ponens: P -> Q, P |- Q search.add("(`P -> `Q) `P `Q"); // Add axiom schemas - search.add("(`p -> (`q -> `p))"); // Axiom 1 - search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); // Axiom 2 - search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); // Axiom 3 + search.add("(`p -> (`q -> `p))"); + search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); + search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); // Add premise: !!X (double negation) search.add("(! (! X))"); // Define target: X - const target = new Rule("X"); + auto target = ds::text_to_rule("X", 1000); // Execute search while (true) { - let found = false; - search.execute((candidate) => { - if (candidate.key() === target.key()) { - console.log("Found:", candidate.toString()); + bool found = false; + search.execute([&](ds::rule_t* candidate) { + if (candidate->data_size() == target->data_size() && + memcmp(candidate->head(), target->head(), candidate->data_size()) == 0) { + printf("Found: %s", ds::rule_to_text(candidate, 1000).get()); found = true; return true; } @@ -149,93 +209,8 @@ The search engine performs logical inference by matching rules with facts. }); if (found) break; } - ``` - -=== "Python" - - ```python - import apyds - - # Create search engine - search = apyds.Search(1000, 10000) - - # Add modus ponens: P -> Q, P |- Q - search.add("(`P -> `Q) `P `Q") - - # Add axiom schemas - search.add("(`p -> (`q -> `p))") # Axiom 1 - search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))") # Axiom 2 - search.add("(((! `p) -> (! `q)) -> (`q -> `p))") # Axiom 3 - - # Add premise: !!X (double negation) - search.add("(! (! X))") - - # Define target: X - target = apyds.Rule("X") - - # Execute search - while True: - found = False - def callback(candidate): - global found - if candidate == target: - print(f"Found: {candidate}") - found = True - return True - return False - search.execute(callback) - if found: - break - ``` - -=== "C++" - - ```cpp - #include - #include - #include - #include - #include - - int main() { - ds::search_t search(1000, 10000); - - // Add modus ponens: P -> Q, P |- Q - search.add("(`P -> `Q) `P `Q"); - - // Add axiom schemas - search.add("(`p -> (`q -> `p))"); - search.add("((`p -> (`q -> `r)) -> ((`p -> `q) -> (`p -> `r)))"); - search.add("(((! `p) -> (! `q)) -> (`q -> `p))"); - - // Add premise: !!X (double negation) - search.add("(! (! X))"); - - // Define target: X - auto target = ds::text_to_rule("X", 1000); - - // Execute search - while (true) { - bool found = false; - search.execute([&](ds::rule_t* candidate) { - if (candidate->data_size() == target->data_size() && - memcmp(candidate->head(), target->head(), candidate->data_size()) == 0) { - printf("Found: %s", ds::rule_to_text(candidate, 1000).get()); - found = true; - return true; - } - return false; - }); - if (found) break; - } - - return 0; - } - ``` - -## Next Steps -- Learn more about [Terms](../concepts/terms.md) -- Understand [Rules](../concepts/rules.md) -- Explore the [Search Engine](../concepts/search.md) -- Check the [API Reference](../api/python.md) \ No newline at end of file + return 0; +} +``` +::: diff --git a/docs/index.md b/docs/index.md index 1532ceb..84e42ce 100644 --- a/docs/index.md +++ b/docs/index.md @@ -1,61 +1,70 @@ -# DS - A Deductive System +--- +layout: home -A deductive system for logical inference, implemented in C++. The library provides bindings for Python (via pybind11) and TypeScript/JavaScript (via Emscripten/WebAssembly). +hero: + name: "DS" + text: "A Deductive System" + tagline: A deductive system for logical inference, implemented in C++ with bindings for Python and TypeScript/JavaScript + actions: + - theme: brand + text: Quick Start + link: /getting-started/quickstart + - theme: alt + text: View on GitHub + link: https://github.com/USTC-KnowledgeComputingLab/ds -## Features - -- **Multi-Language Support**: Use the same deductive system in C++, Python, or TypeScript/JavaScript -- **Logical Terms**: Work with variables, items (constants/functors), and lists -- **Rule-Based Inference**: Define rules and facts, perform logical deduction -- **Unification and Matching**: Unify terms and match rules -- **Search Engine**: Built-in search mechanism for iterative inference -- **WebAssembly**: Run inference in the browser or Node.js environments -- **Type-Safe**: Strong typing support in TypeScript and Python +features: + - title: Multi-Language Support + details: Seamlessly use the same deductive system in C++, Python, or TypeScript/JavaScript. + - title: WebAssembly Performance + details: Run high-performance deductive system in the browser or Node.js via Emscripten. + - title: Rich Logical Terms + details: Comprehensive support for variables, items, and nested lists. + - title: Rule-Based Inference + details: Flexible framework for defining rules and facts to perform complex logical deduction. + - title: Unification Engine + details: Powerful built-in mechanisms for term unification and rule matching. + - title: Automated Search + details: Built-in search engine for iterative inference. +--- ## Supported Languages -=== "TypeScript" - - ```typescript - import { Term } from "atsds"; - - const term = new Term("(hello world)"); - console.log(term.toString()); - // Output: (hello world) - ``` - -=== "Python" - - ```python - import apyds - print(f"Version: {apyds.__version__}") - - term = apyds.Term("(hello world)") - print(term) # (hello world) - ``` - -=== "C++" - - ```cpp - #include - #include - #include - - int main() { - auto term = ds::text_to_term("(hello world)", 1000); - std::cout << ds::term_to_text(term.get(), 1000).get() << std::endl; - return 0; - } - ``` +::: code-group +```typescript [TypeScript] +import { Term } from "atsds"; + +const term = new Term("(hello world)"); +console.log(term.toString()); +// Output: (hello world) +``` +```python [Python] +import apyds + +term = apyds.Term("(hello world)") +print(term) # (hello world) +``` +```cpp [C++] +#include +#include +#include + +int main() { + auto term = ds::text_to_term("(hello world)", 1000); + std::cout << ds::term_to_text(term.get(), 1000).get() << std::endl; + return 0; +} +``` +::: ## Quick Links - **[Installation](getting-started/installation.md)** - Install DS for your preferred language - **[Quick Start](getting-started/quickstart.md)** - Get up and running in minutes - **[Core Concepts](concepts/terms.md)** - Learn about terms, rules, and inference -- **[API Reference](api/python.md)** - Complete API documentation +- **[API Reference](api/typescript.md)** - Complete API documentation - **[Examples](examples/basic.md)** - Working code examples ## License -This project is licensed under the GNU General Public License v3.0 or later. +This project is licensed under the GNU General Public License v3.0 or later. \ No newline at end of file diff --git a/docs/examples/Sudoku.ejs b/docs/public/examples/Sudoku.ejs similarity index 100% rename from docs/examples/Sudoku.ejs rename to docs/public/examples/Sudoku.ejs diff --git a/docs/support-packages/bnf.md b/docs/support-packages/bnf.md index 539d279..9397568 100644 --- a/docs/support-packages/bnf.md +++ b/docs/support-packages/bnf.md @@ -9,65 +9,59 @@ This package enables you to write logical rules in a more natural, mathematical ## Installation -=== "TypeScript" - - ```bash - npm install atsds-bnf - ``` - -=== "Python" - - ```bash - pip install apyds-bnf - ``` +::: code-group +```bash [TypeScript] +npm install atsds-bnf +``` +```bash [Python] +pip install apyds-bnf +``` +::: Requires Python 3.11-3.14. ## Usage -=== "TypeScript" - - ```javascript - import { parse, unparse } from "atsds-bnf"; - - // Parse: Convert from readable Dsp to DS format - const dsp_input = "a, b => c"; - const ds_output = parse(dsp_input); - console.log(ds_output); - // Output: - // a - // b - // ---- - // c - - // Unparse: Convert from DS format to readable Dsp - const ds_input = "a\nb\n----\nc\n"; - const dsp_output = unparse(ds_input); - console.log(dsp_output); - // Output: a, b => c - ``` - -=== "Python" - - ```python - from apyds_bnf import parse, unparse - - # Parse: Convert from readable Dsp to DS format - dsp_input = "a, b => c" - ds_output = parse(dsp_input) - print(ds_output) - # Output: - # a - # b - # ---- - # c - - # Unparse: Convert from DS format to readable Dsp - ds_input = "a\nb\n----\nc\n" - dsp_output = unparse(ds_input) - print(dsp_output) - # Output: a, b => c - ``` +::: code-group +```javascript [TypeScript] +import { parse, unparse } from "atsds-bnf"; + +// Parse: Convert from readable Dsp to DS format +const dsp_input = "a, b => c"; +const ds_output = parse(dsp_input); +console.log(ds_output); +// Output: +// a +// b +// ---- +// c + +// Unparse: Convert from DS format to readable Dsp +const ds_input = "a\nb\n----\nc\n"; +const dsp_output = unparse(ds_input); +console.log(dsp_output); +// Output: a, b => c +``` +```python [Python] +from apyds_bnf import parse, unparse + +# Parse: Convert from readable Dsp to DS format +dsp_input = "a, b => c" +ds_output = parse(dsp_input) +print(ds_output) +# Output: +# a +# b +# ---- +# c + +# Unparse: Convert from DS format to readable Dsp +ds_input = "a\nb\n----\nc\n" +dsp_output = unparse(ds_input) +print(dsp_output) +# Output: a, b => c +``` +::: ## Syntax Formats diff --git a/docs/support-packages/egg.md b/docs/support-packages/egg.md index e0543f0..626044b 100644 --- a/docs/support-packages/egg.md +++ b/docs/support-packages/egg.md @@ -6,138 +6,129 @@ An E-Graph (Equality Graph) is a data structure that efficiently represents equi ## Installation -=== "TypeScript" - - ```bash - npm install atsds-egg - ``` - -=== "Python" - - ```bash - pip install apyds-egg - ``` +::: code-group +```bash [TypeScript] +npm install atsds-egg +``` +```bash [Python] +pip install apyds-egg +``` +::: Requires Python 3.11-3.14. ## Usage -=== "TypeScript" - - ```typescript - import { Term } from "atsds"; - import { EGraph } from "atsds-egg"; - - // Create an E-Graph - const eg = new EGraph(); +::: code-group +```typescript [TypeScript] +import { Term } from "atsds"; +import { EGraph } from "atsds-egg"; - // Add terms to the E-Graph - const a = eg.add(new Term("a")); - const b = eg.add(new Term("b")); - const x = eg.add(new Term("x")); +// Create an E-Graph +const eg = new EGraph(); - // Add compound terms - const ax = eg.add(new Term("(+ a x)")); - const bx = eg.add(new Term("(+ b x)")); +// Add terms to the E-Graph +const a = eg.add(new Term("a")); +const b = eg.add(new Term("b")); +const x = eg.add(new Term("x")); - // Initially, (+ a x) and (+ b x) are in different E-classes - if (eg.find(ax) === eg.find(bx)) throw new Error("Should be different"); +// Add compound terms +const ax = eg.add(new Term("(+ a x)")); +const bx = eg.add(new Term("(+ b x)")); - // Merge a and b - eg.merge(a, b); +// Initially, (+ a x) and (+ b x) are in different E-classes +if (eg.find(ax) === eg.find(bx)) throw new Error("Should be different"); - // Rebuild to restore congruence - eg.rebuild(); +// Merge a and b +eg.merge(a, b); - // Now (+ a x) and (+ b x) are in the same E-class - if (eg.find(ax) !== eg.find(bx)) throw new Error("Should be same"); - ``` +// Rebuild to restore congruence +eg.rebuild(); -=== "Python" +// Now (+ a x) and (+ b x) are in the same E-class +if (eg.find(ax) !== eg.find(bx)) throw new Error("Should be same"); +``` +```python [Python] +import apyds +from apyds_egg import EGraph - ```python - import apyds - from apyds_egg import EGraph +# Create an E-Graph +eg = EGraph() - # Create an E-Graph - eg = EGraph() +# Add terms to the E-Graph +a = eg.add(apyds.Term("a")) +b = eg.add(apyds.Term("b")) +x = eg.add(apyds.Term("x")) - # Add terms to the E-Graph - a = eg.add(apyds.Term("a")) - b = eg.add(apyds.Term("b")) - x = eg.add(apyds.Term("x")) +# Add compound terms +ax = eg.add(apyds.Term("(+ a x)")) +bx = eg.add(apyds.Term("(+ b x)")) - # Add compound terms - ax = eg.add(apyds.Term("(+ a x)")) - bx = eg.add(apyds.Term("(+ b x)")) +# Initially, (+ a x) and (+ b x) are in different E-classes +assert eg.find(ax) != eg.find(bx) - # Initially, (+ a x) and (+ b x) are in different E-classes - assert eg.find(ax) != eg.find(bx) +# Merge a and b +eg.merge(a, b) - # Merge a and b - eg.merge(a, b) +# Rebuild to restore congruence +eg.rebuild() - # Rebuild to restore congruence - eg.rebuild() - - # Now (+ a x) and (+ b x) are in the same E-class - assert eg.find(ax) == eg.find(bx) - ``` +# Now (+ a x) and (+ b x) are in the same E-class +assert eg.find(ax) == eg.find(bx) +``` +::: ### Congruence Closure The E-Graph automatically maintains congruence closure. When two E-classes are merged, the `rebuild()` method ensures that all congruent terms remain in the same E-class. -=== "TypeScript" - - ```typescript - import { Term } from "atsds"; - import { EGraph } from "atsds-egg"; - - const eg = new EGraph(); - - // Add terms with nested structure - const fa = eg.add(new Term("(f a)")); - const fb = eg.add(new Term("(f b)")); - const gfa = eg.add(new Term("(g (f a))")); - const gfb = eg.add(new Term("(g (f b))")); - - // Merge a and b - const a = eg.add(new Term("a")); - const b = eg.add(new Term("b")); - eg.merge(a, b); - - // Rebuild propagates equivalence - eg.rebuild(); - - // Now all derived terms are equivalent - if (eg.find(fa) !== eg.find(fb)) throw new Error("fa != fb"); - if (eg.find(gfa) !== eg.find(gfb)) throw new Error("gfa != gfb"); - ``` - -=== "Python" - - ```python - eg = EGraph() - - # Add terms with nested structure - fa = eg.add(apyds.Term("(f a)")) - fb = eg.add(apyds.Term("(f b)")) - gfa = eg.add(apyds.Term("(g (f a))")) - gfb = eg.add(apyds.Term("(g (f b))")) - - # Merge a and b - a = eg.add(apyds.Term("a")) - b = eg.add(apyds.Term("b")) - eg.merge(a, b) - - # Rebuild propagates equivalence - eg.rebuild() - - # Now all derived terms are equivalent - assert eg.find(fa) == eg.find(fb) - assert eg.find(gfa) == eg.find(gfb) - ``` +::: code-group +```typescript [TypeScript] +import { Term } from "atsds"; +import { EGraph } from "atsds-egg"; + +const eg = new EGraph(); + +// Add terms with nested structure +const fa = eg.add(new Term("(f a)")); +const fb = eg.add(new Term("(f b)")); +const gfa = eg.add(new Term("(g (f a))")); +const gfb = eg.add(new Term("(g (f b))")); + +// Merge a and b +const a = eg.add(new Term("a")); +const b = eg.add(new Term("b")); +eg.merge(a, b); + +// Rebuild propagates equivalence +eg.rebuild(); + +// Now all derived terms are equivalent +if (eg.find(fa) !== eg.find(fb)) throw new Error("fa != fb"); +if (eg.find(gfa) !== eg.find(gfb)) throw new Error("gfa != gfb"); +``` +```python [Python] +eg = EGraph() + +# Add terms with nested structure +fa = eg.add(apyds.Term("(f a)")) +fb = eg.add(apyds.Term("(f b)")) +gfa = eg.add(apyds.Term("(g (f a))")) +gfb = eg.add(apyds.Term("(g (f b))")) + +# Merge a and b +a = eg.add(apyds.Term("a")) +b = eg.add(apyds.Term("b")) +eg.merge(a, b) + +# Rebuild propagates equivalence +eg.rebuild() + +# Now all derived terms are equivalent +assert eg.find(fa) == eg.find(fb) +assert eg.find(gfa) == eg.find(gfb) +``` +::: ## Core Concepts @@ -173,21 +164,21 @@ The hash-consing mechanism ensures that identical E-Nodes share the same E-class ## API Reference -=== "TypeScript (atsds-egg)" +### TypeScript (atsds-egg) - - `new EGraph()`: Create a new E-Graph - - `add(term: atsds.Term): EClassId`: Add a term to the E-Graph - - `merge(a: EClassId, b: EClassId): EClassId`: Merge two E-classes - - `rebuild(): void`: Restore congruence closure - - `find(eclass: EClassId): EClassId`: Find canonical E-class representative +- `new EGraph()`: Create a new E-Graph +- `add(term: atsds.Term): EClassId`: Add a term to the E-Graph +- `merge(a: EClassId, b: EClassId): EClassId`: Merge two E-classes +- `rebuild(): void`: Restore congruence closure +- `find(eclass: EClassId): EClassId`: Find canonical E-class representative -=== "Python (apyds-egg)" +### Python (apyds-egg) - - `EGraph()`: Create a new E-Graph - - `add(term: apyds.Term) -> EClassId`: Add a term to the E-Graph - - `merge(a: EClassId, b: EClassId) -> EClassId`: Merge two E-classes - - `rebuild() -> None`: Restore congruence closure - - `find(eclass: EClassId) -> EClassId`: Find canonical E-class representative +- `EGraph()`: Create a new E-Graph +- `add(term: apyds.Term) -> EClassId`: Add a term to the E-Graph +- `merge(a: EClassId, b: EClassId) -> EClassId`: Merge two E-classes +- `rebuild() -> None`: Restore congruence closure +- `find(eclass: EClassId) -> EClassId`: Find canonical E-class representative ## Package Information diff --git a/mkdocs.yml b/mkdocs.yml deleted file mode 100644 index 3cc5fab..0000000 --- a/mkdocs.yml +++ /dev/null @@ -1,106 +0,0 @@ -site_name: DS - A Deductive System -site_url: https://ustc-knowledgecomputinglab.github.io/ds -repo_url: https://github.com/USTC-KnowledgeComputingLab/ds -site_description: A deductive system for logical inference, implemented in C++ with bindings for Python and TypeScript/JavaScript -site_author: Hao Zhang -copyright: GPL-3.0-or-later - -theme: - name: material - features: - - navigation.instant - - navigation.instant.prefetch - - navigation.instant.progress - - navigation.instant.preview - - navigation.tracking - - navigation.tabs - - navigation.tabs.sticky - - navigation.sections - - navigation.expand - - navigation.path - - navigation.prune - - navigation.indexes - - toc.follow - # - toc.integrate - - navigation.top - - search - - search.suggest - - search.highlight - - search.share - # - header.autohide - - announce.dismiss - # - navigation.footer - palette: - - scheme: default - media: "(prefers-color-scheme: light)" - primary: indigo - accent: indigo - toggle: - icon: material/brightness-7 - name: Switch to dark mode - - scheme: slate - media: "(prefers-color-scheme: dark)" - primary: indigo - accent: indigo - toggle: - icon: material/brightness-4 - name: Switch to light mode - -nav: - - Home: index.md - - Getting Started: - - Installation: getting-started/installation.md - - Quick Start: getting-started/quickstart.md - - Core Concepts: - - Terms: concepts/terms.md - - Rules: concepts/rules.md - - Search Engine: concepts/search.md - - API Reference: - - TypeScript API: api/typescript.md - - Python API: api/python.md - - C++ API: api/cpp.md - - Support Packages: - - BNF: support-packages/bnf.md - - E-Graph: support-packages/egg.md - - Examples: - - Basis Examples: examples/basic.md - - Sudoku: examples/sudoku.md - -plugins: - - offline - - search - -markdown_extensions: - - abbr - - admonition - - attr_list - - def_list - - footnotes - - md_in_html - - toc: - 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