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Reseña: Verification of an LCF-style first-order prover with equality

Se ha publicado un artículo de razonamiento formalizado en Isabelle/HOL sobre metalógica titulado Verification of an LCF-style first-order prover with equality.

Sus autores son Alexander Birch Jensen, Anders Schlichtkrull y Jørgen Villadsen (del grupo Algorithms, logic and graphs en la Technical University of Denmark (DTU))

Su resumen es

We formalize in Isabelle/HOL the kernel of an LCF-style prover for first-order logic with equality from John Harrison’s Handbook of Practical Logic and Automated Reasoning. We prove the kernel sound and generate Standard ML code from the formalization. The generated code can then serve as a verified kernel. By doing this we also obtain verified components such as derived rules, a tableau prover, tactics, and a small declarative interactive theorem prover. We test that the kernel and the components give the same results as Harrison’s original on all the examples from his book. The formalization is 600 lines and is available online.

El trabajo se presentará en el Isabelle Workshop 2016.

El código de las correspondientes teorías en se encuentra aquí.

Este artículo puede servir de lectura complementaria en los cursos de Razonamiento automático, Razonamiento asistido por ordenador y Lógica computacional y teoría de modelos.

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