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<title>Algorítmica funcional verificada (AFV)</title>
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<div id="content">
<h1 class="title">Algorítmica funcional verificada (AFV)</h1>
<p>
El objetivo de este trabajo es verificar con Isabelle/HOL la segunda parte del
curso de <a href="https://www.cs.us.es/~jalonso/cursos/i1m/temas.php">I1M</a>. Más concretamente, los temas 14 a 22 dedicados a la
representación funcional de estructuras de datos.
</p>
<p>
Dos trabajos con semejantes objetivos son:
</p>
<ul class="org-ul">
<li>el curso <a href="http://www21.in.tum.de/teaching/FDS/SS17/">Functional data structures (Summer semester 2017)</a>,
impartido por Peter Lammich y Tobias Nipkow en la Universidad Técnica de
Munich, en el que verifican con Isabelle/HOL algunas estructuras de datos.</li>
<li>el trabajo de Andrew W. Appel <a href="https://www.cs.princeton.edu/~appel/vfa/">Verified functional algorithms</a> en el que
verifica con Coq algunos algoritmos funcionales.</li>
</ul>
<p>
Los libros con aproximaciones funcionales a la algorítmica en la que se basan
los trabajos anteriores son
</p>
<ul class="org-ul">
<li><a href="http://www.cambridge.org/de/academic/subjects/computer-science/programming-languages-and-applied-logic/purely-functional-data-structures?format=PB&isbn=9780521663502">Purely functional data structures</a> por C. Okasaki</li>
<li><a href="https://www.iro.umontreal.ca/~lapalme/Algorithms-functional.html">Algorithms: A functional programming approach</a> por F. Rabhi y G. Lapalme</li>
</ul>
<div id="outline-container-orgheadline3" class="outline-2">
<h2 id="orgheadline3"><span class="section-number-2">1</span> Temas</h2>
<div class="outline-text-2" id="text-1">
</div><div id="outline-container-orgheadline1" class="outline-3">
<h3 id="orgheadline1"><span class="section-number-3">1.1</span> <a href="./Temas/Tema_1.html">Tema 1: Introducción</a>.</h3>
</div>
<div id="outline-container-orgheadline2" class="outline-3">
<h3 id="orgheadline2"><span class="section-number-3">1.2</span> <a href="./Temas/Tema_2.html">Tema 2: Programación y demostración</a>.</h3>
</div>
</div>
<div id="outline-container-orgheadline6" class="outline-2">
<h2 id="orgheadline6"><span class="section-number-2">2</span> Ejercicios</h2>
<div class="outline-text-2" id="text-2">
</div><div id="outline-container-orgheadline4" class="outline-3">
<h3 id="orgheadline4"><span class="section-number-3">2.1</span> <a href="./Ejercicios/R01Sol.thy">Ejercicio 1</a></h3>
<div class="outline-text-3" id="text-2-1">
<ul class="org-ul">
<li>Cálculo con números naturales.</li>
<li>Propiedades de los números naturales.</li>
<li>Ocurrencias de un elemento en una lista.</li>
<li>Añadiendo los elementos al final de la lista e inversa.</li>
</ul>
</div>
</div>
<div id="outline-container-orgheadline5" class="outline-3">
<h3 id="orgheadline5"><span class="section-number-3">2.2</span> <a href="./Ejercicios/R02Sol.thy">Ejercicio 2</a></h3>
<div class="outline-text-3" id="text-2-2">
<ul class="org-ul">
<li>Plegados sobre árboles.</li>
<li>Alineamientos de lista.</li>
<li>Plegado de listas.</li>
<li>Lista con elementos distintos.</li>
<li>Plegados de listas por la derecha y por la izquierda.</li>
<li>Cortes de listas.</li>
</ul>
</div>
</div>
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