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AMAST
1991
Springer
15 years 8 months ago
Event Spaces and their Linear Logic
Boolean logic treats disjunction and conjunction symmetrically and algebraically. The corresponding operations for computation are respectively nondeterminism (choice) and concurr...
Vaughan R. Pratt
107
Voted
FSS
2006
85views more  FSS 2006»
15 years 4 months ago
The logic of tied implications, part 2: Syntax
An implication operator A is said to be tied if there is a binary operation T that ties A; that is, the identity A(a, A(b, z)) = A(T (a, b), z) holds for all a, b, z. We aim at th...
Nehad N. Morsi, Wafik Boulos Lotfallah, Moataz Sal...
JSYML
2006
124views more  JSYML 2006»
15 years 4 months ago
Glivenko theorems for substructural logics over FL
It is well known that classical propositional logic can be interpreted in intuitionistic propositional logic. In particular Glivenko's theorem states that a formula is provabl...
Nikolaos Galatos, Hiroakira Ono
ORDER
2010
100views more  ORDER 2010»
15 years 2 months ago
Quantum Logic in Dagger Kernel Categories
This paper investigates quantum logic from the perspective of categorical logic, and starts from minimal assumptions, namely the existence of involutions/daggers and kernels. The ...
Chris Heunen, Bart Jacobs