A Neighbourhood Semantics for the Logic TK DOI:10.5007/1808-1711.2011v15n2p287

Principia: An International Journal of Epistemology 15 (2):287-302 (2011)
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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 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.

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Cezar A. Mortari
Universidade Federal de Santa Catarina

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