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ACS
2002
13 years 4 months ago
Categorical Abstract Algebraic Logic: Algebraizable Institutions
cal Abstract Algebraic Logic: Algebraizable Institutions To Don Pigozzi this work is dedicated GEORGE VOUTSADAKIS Department of Mathematics, Iowa State University, Ames, IA 50011 U...
George Voutsadakis
AML
2006
120views more  AML 2006»
13 years 4 months ago
On the infinite-valued Lukasiewicz logic that preserves degrees of truth
Lukasiewicz's infinite-valued logic is commonly defined as the set of formulas that take the value 1 under all evaluations in the Lukasiewicz algebra on the unit real interva...
Josep Maria Font, Àngel J. Gil, Antoni Torr...
NDJFL
1998
105views more  NDJFL 1998»
13 years 4 months ago
Idempotent Full Paraconsistent Negations are not Algebraizable
Using methods of abstract logic and the theory of valuation, we prove that there is no paraconsistent negation obeying the law of double negation and such that ¬(a ∧ ¬a) is a t...
Jean-Yves Béziau
CALCO
2005
Springer
98views Mathematics» more  CALCO 2005»
13 years 10 months ago
Behavioral Extensions of Institutions
We show that any institution I satisfying some reasonable conditions can be transformed into another institution, Ibeh, which captures formally and abstractly the intuitions of add...
Andrei Popescu, Grigore Rosu