Substitutionless First-Order Logic: A Formal Soundness Proof

Andreas Halkjær From; John Bruntse Larsen; Anders Schlichtkrull; Jørgen Villadsen

Substitutionless First-Order Logic: A Formal Soundness Proof

Andreas Halkjær From, John Bruntse Larsen, Anders Schlichtkrull, Jørgen Villadsen

Department of Applied Mathematics and Computer Science

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Abstract

Substitution under quantifiers is non-trivial and may obscure a proof system for newcomers. Monk (Arch. Math. Log. Grundl. 1965) successfully eliminates
substitution via identities and also uses a so-called normalization of formulas as a further simplification. We formalize the substitutionless proof system in Isabelle/HOL, spelling out its side conditions explicitly and verifying its soundness

Original language	English
Publication date	2018
Number of pages	3
Publication status	Published - 2018
Event	Isabelle Workshop 2018 - Oxford, United Kingdom Duration: 13 Jul 2018 → 13 Jul 2018 http://sketis.net/isabelle/isabelle-workshop-2018

Workshop

Workshop	Isabelle Workshop 2018
Country/Territory	United Kingdom
City	Oxford
Period	13/07/2018 → 13/07/2018
Internet address	http://sketis.net/isabelle/isabelle-workshop-2018

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AU - From, Andreas Halkjær

AU - Larsen, John Bruntse

AU - Schlichtkrull, Anders

AU - Villadsen, Jørgen

PY - 2018

Y1 - 2018

N2 - Substitution under quantifiers is non-trivial and may obscure a proof system for newcomers. Monk (Arch. Math. Log. Grundl. 1965) successfully eliminatessubstitution via identities and also uses a so-called normalization of formulas as a further simplification. We formalize the substitutionless proof system in Isabelle/HOL, spelling out its side conditions explicitly and verifying its soundness

AB - Substitution under quantifiers is non-trivial and may obscure a proof system for newcomers. Monk (Arch. Math. Log. Grundl. 1965) successfully eliminatessubstitution via identities and also uses a so-called normalization of formulas as a further simplification. We formalize the substitutionless proof system in Isabelle/HOL, spelling out its side conditions explicitly and verifying its soundness

M3 - Paper

T2 - Isabelle Workshop 2018

Y2 - 13 July 2018 through 13 July 2018

ER -

Substitutionless First-Order Logic: A Formal Soundness Proof

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Workshop

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