Displaying similar documents to “On the viability of an algebraic approach to non-monotonic reasoning.”

From two- to four-valued logic

Chris Brink (1993)

Banach Center Publications

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The purpose of this note is to show that a known and natural four-valued logic co-exists with classical two-valued logic in the familiar context of truth tables. The tool required is the power construction.

On the Leibniz congruences

Josep Font (1993)

Banach Center Publications

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The aim of this paper is to discuss the motivation for a new general algebraic semantics for deductive systems, to introduce it, and to present an outline of its main features. Some tools from the theory of abstract logics are also introduced, and two classifications of deductive systems are analysed: one is based on the behaviour of the Leibniz congruence (the maximum congruence of a logical matrix) and the other on the behaviour of the Frege operator (which associates to every theory...

An algebraic and Kripke-style approach to a certain extension of intuitionistic logic

Cecylia Rauszer

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CONTENTSIntroduction............................................................................... 5Chapter I. Semi-Boolean algebras 1. Semi-Boolean algebras....................................... 8 2. Q-filters in semi-Boolean algebras............................ 11 3. Extensions of semi-Boolean algebras...................... 15Chapter II. Algebraic and semantic modelsfor Heyting-Brouwer logic 1. Preliminaries.......................................................... 17 2. Algebraic...