<div class="csl-bib-body">
<div class="csl-entry">Cerna, D. M., Leitsch, A., & Lolić, A. (2021). Schematic Refutations of Formula Schemata. <i>Journal of Automated Reasoning</i>, <i>65</i>(5), 599–645. https://doi.org/10.1007/s10817-020-09583-8</div>
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dc.identifier.issn
0168-7433
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/141768
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dc.description.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.