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On the Leibniz congruences

Josep Font (1993)

Banach Center Publications

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 the interderivability...

On the structure of continuous uninorms

Paweł Drygaś (2007)

Kybernetika

Uninorms were introduced by Yager and Rybalov [13] as a generalization of triangular norms and conorms. We ask about properties of increasing, associative, continuous binary operation U in the unit interval with the neutral element e [ 0 , 1 ] . If operation U is continuous, then e = 0 or e = 1 . So, we consider operations which are continuous in the open unit square. As a result every associative, increasing binary operation with the neutral element e ( 0 , 1 ) , which is continuous in the open unit square may be given in [ 0 , 1 ) 2 ...

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