RISC JKU
  • @article{RISC6235,
    author = {David Cerna and Alexander Leitsch and Anela Lolic},
    title = {{Schematic Refutations of Formula Schemata}},
    language = {english},
    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.},
    journal = {Journal of Automated Reasoning},
    pages = {--},
    isbn_issn = {1573-0670},
    year = {2020},
    refereed = {yes},
    length = {47},
    url = {https://doi.org/10.1007/s10817-020-09583-8}
    }