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Home > Archive>Volume 27, Issue 2, 2016 >209-218. DOI:10.13328/j.cnki.jos.004791
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Sound and Complete Gentzen Deduction System for Intermediate Propositional Logic
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National Program on Key Basic Research Project (973) (2005CB321901); Open Fund of the State Key Laboratory of Software Development Environment (SKLSDE-2010KF-06)

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    Abstract:

    The intermediate logic is a three-valued logic proposed by Zhu Wu-Jia. A propositional intermediate logic is proposed in this paper where the intermediate unary connective ~ and the contrary connective ◁ are introduced, and the negative connective ¬ is defined in terms of the unique binary connective →. A Gentzen-typed deduction system is given such that the system is sound and complete with the three-valued semantics of the propositional intermediate logic.

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朱梧槚,李未,眭跃飞,罗杰.命题中介逻辑的可靠和完备Gentzen推导系统.软件学报,2016,27(2):209-218

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History
  • Received:June 12,2014
  • Revised:October 14,2014
  • Online: February 03,2016
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