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...
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...
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...
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...