Paraconsistent algebras

Studia Logica 43 (1-2):79 - 88 (1984)
The prepositional calculiC n , 1 n introduced by N.C.A. da Costa constitute special kinds of paraconsistent logics. A question which remained open for some time concerned whether it was possible to obtain a Lindenbaum''s algebra forC n . C. Mortensen settled the problem, proving that no equivalence relation forC n . determines a non-trivial quotient algebra.The concept of da Costa algebra, which reflects most of the logical properties ofC n , as well as the concept of paraconsistent closure system, are introduced in this paper.
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DOI 10.1007/BF00935742
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References found in this work BETA
Leon Henkin (1971). Cylindric Algebras. Amsterdam,North-Holland Pub. Co..
Chris Mortensen (1980). Every Quotient Algebra for $C_1$ is Trivial. Notre Dame Journal of Formal Logic 21 (4):694-700.

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