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» Computational Interpretations of Classical Linear Logic
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AMAST
2006
Springer
13 years 9 months ago
Fork Algebras as a Sufficiently Rich Universal Institution
Algebraization of computational logics in the theory of fork algebras has been a research topic for a while. This research allowed us to interpret classical first-order logic, seve...
Carlos López Pombo, Marcelo F. Frias
TLCA
2005
Springer
13 years 11 months ago
A Lambda Calculus for Quantum Computation with Classical Control
The objective of this paper is to develop a functional programming language for quantum computers. We develop a lambda calculus for the classical control model, following the firs...
Peter Selinger, Benoît Valiron
MSCS
2007
125views more  MSCS 2007»
13 years 5 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
CAAP
1990
13 years 9 months ago
Petri Nets as Models of Linear Logic
The chief purpose of this paper is to appraise the feasibility of Girard’s linear logic as a specification language for parallel processes. To this end we propose an interpreta...
Uffe Engberg, Glynn Winskel
HOA
1993
13 years 9 months ago
Theory Interpretation in Simple Type Theory
Theory interpretation is a logical technique for relating one axiomatic theory to another with important applications in mathematics and computer science as well as in logic itself...
William M. Farmer