First-Order Logic According to Harrison

Alexander Birch Jensen 🌐, Anders Schlichtkrull 🌐 and Jørgen Villadsen 🌐

January 1, 2017

Abstract

We present a certified declarative first-order prover with equality based on John Harrison's Handbook of Practical Logic and Automated Reasoning, Cambridge University Press, 2009. ML code reflection is used such that the entire prover can be executed within Isabelle as a very simple interactive proof assistant. As examples we consider Pelletier's problems 1-46.

Reference: Programming and Verifying a Declarative First-Order Prover in Isabelle/HOL. Alexander Birch Jensen, John Bruntse Larsen, Anders Schlichtkrull & Jørgen Villadsen. AI Communications 31:281-299 2018. https://content.iospress.com/articles/ai-communications/aic764

See also: Students' Proof Assistant (SPA). https://github.com/logic-tools/spa

License

BSD License

History

July 21, 2018
Proof of Pelletier's problem 34 (Andrews's Challenge) thanks to Asta Halkjær From.

Topics

Session FOL_Harrison

Cite

× 
@article{FOL_Harrison-AFP,
  author  = {Alexander Birch Jensen and Anders Schlichtkrull and Jørgen Villadsen},
  title   = {First-Order Logic According to Harrison},
  journal = {Archive of Formal Proofs},
  month   = {January},
  year    = {2017},
  note    = {\url{https://isa-afp.org/entries/FOL_Harrison.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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