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<h1>RChain Research</h1>
<p>RChain® Cooperative's academic research addresses problems in the areas of both protocol proving and language design for smart contracts, to ensure both optimization and safe use of resources over a decentralised global compute fabric currently embodied by the RChain blockchain and the Rholang smart contracting language .</p>
<p>The goal of RChain, the technology and the cooperative organisation, is to provide the foundations for global coordination and collaboration to address the problems in today's world that we witness everyday from Covid-19 to climate change.</p>
<p>We invite wider collaboration with academia through workshops, internships, joint and sponsored research. Feel free to contact us using the form below and we would be happy to set up an introductory workshop (see our latest one below).</p>
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<h2 id="papers">Papers:</h2>
<ul>
<li><a href="https://www.sciencedirect.com/science/article/pii/S1571066105051893">
A Reflective Higher-order Calculus, <em>a path towards horizontal scalability</em></a>, by L.G. Meredith & Matthias Radestock</li>
<li><a href="http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.95.9601">
Namespace logic: A logic for a reflective higher-order calculus</em></a>, by L.G. Meredith & Matthias Radestock</li>
<li><a href="https://link.springer.com/chapter/10.1007/3-540-56610-4_62">
From π-calculus to higher-order π-calculus — and back</em></a>, by Davide Sangiorgi</li>
<li><a href="https://docs.google.com/document/d/1sGlObhGhoEizBXC30Ww4h1KHKGkmcy4NiCKitIBqiUg/edit#">
Notes on the DAO re-entrancy bug and behavioral types</em></a>, by Jack Pettersson & L.G. Meredith</li>
<li><a href="https://www.youtube.com/watch?v=XhwrZuXMyfE">
LADL from the Ground Up</a> by Mike Stay and Greg Meredith, June 2018</li>
<li><a href="https://arxiv.org/abs/2102.04672">Native Type Theory</a>,
by Christian Williams and Michael Stay</li>
<li><a href="https://www.sciencedirect.com/science/article/pii/016800729190065T">
Domain Theory in Logical Form</em></a>, by Sampson Abramsky</li>
<li><a href="https://link.springer.com/chapter/10.1007/978-3-540-24727-2_7">
Behavioral and Spatial Observations in a Logic for the π-Calculus</em></a>, by Luís Caires</li>
<li><a href="https://homepages.inf.ed.ac.uk/wadler/papers/propositions-as-sessions/propositions-as-sessions.pdf">
Propositions as Sessions</em></a>, by Philip Wadler</li>
<li><a href="https://www.semanticscholar.org/paper/On-Full-Abstraction-for-PCF%3A-I%2C-II%2C-and-III-Hyland-Ong/337a8e9ce4d76794a42d9ee787b0ffd0ca09ef4d">
On Full Abstraction for PCF: I, II, and III</em></a> (Hyland & Ong’s games semantics)</li>
</ul>
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<h2 id="papers">Presentations:</h2>
<ul>
<li><a href="https://www.youtube.com/watch?v=aJyxtUopJ74&t=1623s">Structural Types for Algebraic Theories (Video)</a>,
MIT Category Theory Seminar, 2020/06/18 by Christian Williams</li>
<li>n-Category Café blog posts</li>
<ul>
<li><a href="https://golem.ph.utexas.edu/category/2021/02/native_type_theory.html">Native Type Theory (Part I)</a>,
by Christian Williams</li>
<li><a href="https://golem.ph.utexas.edu/category/2021/03/native_type_theory_part_2.html">Native Type Theory (Part II)</a>,
by Christian Williams</li>
<li><a href="https://golem.ph.utexas.edu/category/2021/03/native_type_theory_part_3_1.html">Native Type Theory (Part III)</a>,
by Christian Williams</li>
</ul>
</ul>
</div>
</div>
</div>
<div class="section" id="posSection">
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<h2 id="papers">Rholang Intro:</h2>
<ul>
<li><a href="https://www.youtube.com/watch?v=gRxXQx3cn9c&list=PLf2bbiic5ZjD2QuelvOaoLF7gFiSj7u7j&index=31">getting started with rholang</a></li>
<li><a href="https://github.com/rchain/rchain/blob/master/docs/rholang/rholangtut.md">core dev rholang tutorial</a></li>
<li><a href="https://github.com/rchain/rchain/blob/master/docs/rholang/rholangmatchingtut.md">A Tutorial for Matching in Rholang</a></li>
<li><a href="https://github.com/rchain/rchain/blob/master/docs/rholang/rholangmatchingtut.md">More in-depth tutorial on pattern matching</a></li>
<li><a href="https://github.com/rchain/rchain/tree/dev/casper/src/main/resources">Casper contracts, including ListOps, Either</a></li>
</ul>
</div>
</div>
<div class="section" id="posSection">
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<h2 id="workshops">Workshops:</h2>
<h3 id="academic-workshop-4-feb-2021">Academic Workshop 4 FEB 2021</h3>
<ul>
<li><a href="https://docs.google.com/presentation/d/12QOTyhPLbNGJ02p3tvgl1sO6i__FYlkpKYmZoChJmS0/edit#slide=id.p">Agenda</a>, by Steve Ross-Talbot</li>
<li><a href="https://drive.google.com/file/d/1HpBl7foG5nVYl0cADyIEXcQtIrzyGWkL/view">Introduction</a>, by Greg Meredith</li>
<li><a href="https://drive.google.com/file/d/1DtYC2k_2cpmImEd201HGeb0APbw-J6Gs/view?usp=sharing">Radical Fault Tolerance</a>, by Greg Meredith</li>
<li><a href="https://drive.google.com/file/d/1qqhLWwf8GW0wbrC0hWJGa-hq6sAchiU9/edit">Intro to Rholang implementation</a>, by Tomislav Grospić</li>
<li><a href="https://drive.google.com/drive/folders/17SAtA_AJoSgF7ib9Llopcuk6E1UvyTC7?usp=sharing">Block merging, <em>a path towards horizontal scalability</em></a>, by Anton Chistiakov</li>
</ul>
</div>
</div>
<div class="section" id="posSection">
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<h2 id="scalability">Scalability:</h2>
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<ul>
<li>Completeness - can we say everything we need to say?</li>
<li>Compositionality - can we build more complex programs out of simpler ones?</li>
<li>Concurrency - can we build programs that have parts that run simultaneously?</li>
<li>Complexity - can we measure the cost of computational resources?</li>
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<thead>
<tr>
<th></th>
<th>Completeness</th>
<th>Compositionality</th>
<th>Concurrency</th>
<th>Complexity</th>
</tr>
</thead>
<tbody>
<tr>
<td>Turing Machines</td>
<td>✔</td>
<td>X</td>
<td>X</td>
<td>✔</td>
</tr>
<tr>
<td>Lambda Calculus</td>
<td>✔</td>
<td>✔</td>
<td>X</td>
<td>X</td>
</tr>
<tr>
<td>Petri Nets</td>
<td>✔</td>
<td>X</td>
<td>✔</td>
<td>✔</td>
</tr>
<tr>
<td>CCS</td>
<td>✔</td>
<td>✔</td>
<td>✔</td>
<td>X</td>
</tr>
<tr>
<td>π-Calculus</td>
<td>✔</td>
<td>✔</td>
<td>✔</td>
<td>✔</td>
</tr>
</tbody>
</table>
</div>
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