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» Introduction to Categories and Categorical Logic
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ICALP
2004
Springer
14 years 25 days ago
A Categorical Model for the Geometry of Interaction
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. ...
Esfandiar Haghverdi, Philip J. Scott
MSCS
2007
125views more  MSCS 2007»
13 years 7 months ago
On categorical models of classical logic and the Geometry of Interaction
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...
Carsten Führmann, David J. Pym
FUZZIEEE
2007
IEEE
14 years 1 months ago
A Generalized Class of T-norms From a Categorical Point of View
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, ...
Benjamín C. Bedregal, Hélida S. Sant...
ACS
2002
13 years 7 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
MSCS
2006
69views more  MSCS 2006»
13 years 7 months ago
A categorical quantum logic
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...
Samson Abramsky, Ross Duncan