First-Order Logic According to Harrison


Title: First-Order Logic According to Harrison
Authors: Alexander Birch Jensen, Anders Schlichtkrull and Jørgen Villadsen
Submission date: 2017-01-01

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.

See also: Students' Proof Assistant (SPA).

Change history: [2018-07-21]: Proof of Pelletier's problem 34 (Andrews's Challenge) thanks to Asta Halkjær From.
  author  = {Alexander Birch Jensen and Anders Schlichtkrull and Jørgen Villadsen},
  title   = {First-Order Logic According to Harrison},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2017,
  note    = {\url{},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License