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A Routley–Meyer Semantics for Gödel 3-Valued Logic and Its Paraconsistent Counterpart

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Abstract

Routley–Meyer semantics (RM-semantics) is defined for Gödel 3-valued logic G3 and some logics related to it among which a paraconsistent one differing only from G3 in the interpretation of negation is to be remarked. The logics are defined in the Hilbert-style way and also by means of proof-theoretical and semantical consequence relations. The RM-semantics is defined upon the models for Routley and Meyer’s basic positive logic B+, the weakest positive RM-semantics. In this way, it is to be expected that the models defined can be adapted to other related many-valued logics.

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  1. Dpto. de Psicología, Sociología y Filosofía, Universidad de León, Campus de Vegazana, s/n, 24071, León, Spain

    Gemma Robles

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  1. Gemma Robles
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Correspondence to Gemma Robles.

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Robles, G. A Routley–Meyer Semantics for Gödel 3-Valued Logic and Its Paraconsistent Counterpart. Log. Univers. 7, 507–532 (2013). https://doi.org/10.1007/s11787-013-0088-7

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  • DOI: https://doi.org/10.1007/s11787-013-0088-7

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