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Computer Science > Logic in Computer Science

arXiv:1003.4802v1 (cs)
[Submitted on 25 Mar 2010]

Title:Automatic Generation of Proof Tactics for Finite-Valued Logics

Authors:João Marcos
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Abstract:A number of flexible tactic-based logical frameworks are nowadays available that can implement a wide range of mathematical theories using a common higher-order metalanguage. Used as proof assistants, one of the advantages of such powerful systems resides in their responsiveness to extensibility of their reasoning capabilities, being designed over rule-based programming languages that allow the user to build her own `programs to construct proofs' - the so-called proof tactics.
The present contribution discusses the implementation of an algorithm that generates sound and complete tableau systems for a very inclusive class of sufficiently expressive finite-valued propositional logics, and then illustrates some of the challenges and difficulties related to the algorithmic formation of automated theorem proving tactics for such logics. The procedure on whose implementation we will report is based on a generalized notion of analyticity of proof systems that is intended to guarantee termination of the corresponding automated tactics on what concerns theoremhood in our targeted logics.
Subjects: Logic in Computer Science (cs.LO)
Cite as: arXiv:1003.4802 [cs.LO]
  (or arXiv:1003.4802v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1003.4802
Journal reference: EPTCS 21, 2010, pp. 91-98
Related DOI: https://doi.org/10.4204/EPTCS.21.8

Submission history

From: João Marcos [view email] [via EPTCS proxy]
[v1] Thu, 25 Mar 2010 04:44:58 UTC (14 KB)
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