A Formalisation of Post's m-valued Propositional Calculus.
Alan Rose (1952)
Mathematische Zeitschrift
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Alan Rose (1952)
Mathematische Zeitschrift
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Alan Rose (1953/54)
Mathematische Zeitschrift
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Hao Wang (1953/54)
Mathematische Zeitschrift
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Erik Ellentuck (1963)
Mathematische Zeitschrift
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J.C.E. Dekker (1964)
Mathematische Zeitschrift
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A. Nerode (1964/65)
Mathematische Zeitschrift
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G. Rousseau (1970)
Fundamenta Mathematicae
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J. D. Kečkić (1968)
Matematički Vesnik
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Gemma Robles, Sandra M. López, José M. Blanco, Marcos M. Recio, Jesús R. Paradela (2016)
Bulletin of the Section of Logic
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The logic BN4 can be considered as the 4-valued logic of the relevant conditional and the logic E4, as the 4-valued logic of (relevant) entailment. The aim of this paper is to endow E4 with a 2-set-up Routley-Meyer semantics. It is proved that E4 is strongly sound and complete w.r.t. this semantics.
Reiner Hähnle, Gonzalo Escalada-Imaz (1997)
Mathware and Soft Computing
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Vincent Degauquier (2018)
Bulletin of the Section of Logic
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The temporal logic KtT4 is the modal logic obtained from the minimal temporal logic Kt by requiring the accessibility relation to be reflexive (which corresponds to the axiom T) and transitive (which corresponds to the axiom 4). This article aims, firstly, at providing both a model-theoretic and a proof-theoretic characterisation of a four-valued extension of the temporal logic KtT4 and, secondly, at identifying some of the most useful properties of this extension in the context of partial...