Proof systems for effectively propositional logic

Juan Antonio Navarro, Andrei Voronkov

    Research output: Chapter in Book/Conference proceedingConference contribution

    Abstract

    We consider proof systems for effectively propositional logic. First, we show that propositional resolution for effectively propositional logic may have exponentially longer refutations than resolution for this logic. This shows that methods based on ground instantiation may be weaker than non-ground methods. Second, we introduce a generalisation rule for effectively propositional logic and show that resolution for this logic may have exponentially longer proofs than resolution with generalisation. We also discuss some related questions, such as sort assignments for generalisation. © 2008 Springer-Verlag Berlin Heidelberg.
    Original languageEnglish
    Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|Lect. Notes Comput. Sci.
    PublisherSpringer Nature
    Pages426-440
    Number of pages14
    Volume5195
    ISBN (Print)3540710698, 9783540710691
    DOIs
    Publication statusPublished - 2008
    Event4th International Joint Conference on Automated Reasoning, IJCAR 2008 - Sydney, NSW
    Duration: 1 Jul 2008 → …

    Publication series

    NameLecture Notes in Computer Science

    Conference

    Conference4th International Joint Conference on Automated Reasoning, IJCAR 2008
    CitySydney, NSW
    Period1/07/08 → …

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