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arXiv · 1902.08055

Schematic Refutations of Formula Schemata

David Cerna·Alexander Leitsch·Anela Lolic
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Abstract

Proof schemata are infinite sequences of proofs which are defined inductively. In this paper we present a general framework for schemata of terms, formulas and unifiers and define a resolution calculus for schemata of quantifier-free formulas. The new calculus generalizes and improves former approaches to schematic deduction. As an application of the method we present a schematic refutation formalizing a proof of a weak form of the pigeon hole principle.

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David Cerna, Alexander Leitsch, Anela Lolic. 2019-02-21. Schematic Refutations of Formula Schemata. https://doi.org/10.1007/s10817-020-09583-8

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