Semantical analysis of predicate logics without the contraction rule

Studia Logica 44 (2):187 - 196 (1985)
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Abstract

In this paper, a semantics for predicate logics without the contraction rule will be investigated and the completeness theorem will be proved. Moreover, it will be found out that our semantics has a close connection with Beth-type semantics.

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Hiroakira Ono
Japan Advanced Institute of Science and Technology

Citations of this work

Predicate logics without the structure rules.Yuichi Komori - 1986 - Studia Logica 45 (4):393 - 404.
Algebraic Kripke-Style Semantics for Relevance Logics.Eunsuk Yang - 2014 - Journal of Philosophical Logic 43 (4):803-826.
On the role of implication in formal logic.Jonathan Seldin - 2000 - Journal of Symbolic Logic 65 (3):1076-1114.

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Logics without the contraction rule.Hiroakira Ono & Yuichi Komori - 1985 - Journal of Symbolic Logic 50 (1):169-201.

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