We consider the multiplicative and exponential fragment of linear logic (MELL) and give a Geometry of Interaction (GoI) semantics for it based on unique decomposition categories. ...
It is well-known that weakening and contraction cause na¨ıve categorical models of the classical sequent calculus to collapse to Boolean lattices. In previous work, summarized b...
Abstract— Triangular norms or t-norms, in short, and automorphisms are very useful to fuzzy logics in the narrow sense. However, these notions are usually limited to the set [0, ...
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...
We define a sequent calculus corresponding to the logic of strongly compact closed categories with biproducts. Based on this calculus, we define a proof-net syntax with ly normali...