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A Neighbourhood Semantics for the Logic TK

By Hércules de Araújo Feitosa and Cezar A. Mortari

Abstract

The logic TK was introduced as a propositional logic extending the classical propositional calculus with a new unary operator which interprets some conceptions of Tarski’s consequence operator. TK-algebras were introduced as models to TK. Thus, by using algebraic tools, the adequacy (soundness and completeness) of TK relatively to the TK-algebras was proved. This work presents a neighbourhood semantics for TK, which turns out to be deductively equivalent to the non-normal modal logic EMT4

Topics: Consequence operator, TK algebra, TK logic, neighbourhood semantics, Philosophy (General), B1-5802, Philosophy. Psychology. Religion, B, DOAJ:Philosophy, DOAJ:Philosophy and Religion
Publisher: Universidade Federal de Santa Catarina
Year: 2011
OAI identifier: oai:doaj.org/article:2dd1d1d55d214a56ab88e0f3d695eb30
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