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Proof systems for effectively propositional logic

Pérez, JAN; Voronkov, A; (2008) Proof systems for effectively propositional logic. In: Armando, A and Baumgartner, P and Dowek, G, (eds.) Automated Reasoning. 4th International Joint Conference, IJCAR 2008 Sydney, Australia, August 12-15, 2008 Proceedings. (pp. 426 - 440). Springer Berlin Heidelberg Green open access

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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.

Type: Proceedings paper
Title: Proof systems for effectively propositional logic
Event: IJCAR 2008 Sydney, Australia, August 12-15, 2008
ISBN-13: 978-3-540-71069-1
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/978-3-540-71070-7_36
Publisher version: http://dx.doi.org/10.1007/978-3-540-71070-7_36
Language: English
Additional information: This is the authors' accepted manuscript of this published chapter.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/1361366
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