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» Atomic Cut Elimination for classical Logic
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ENTCS
2007
82views more  ENTCS 2007»
14 years 11 months ago
On the Computational Representation of Classical Logical Connectives
Many programming calculi have been designed to have a Curry-Howard correspondence with a classical logic. We investigate the effect that different choices of logical connective ha...
Jayshan Raghunandan, Alexander J. Summers
LFCS
2007
Springer
15 years 5 months ago
Cut Elimination in Deduction Modulo by Abstract Completion
act Completion (Full Version) Guillaume Burel Claude Kirchner August 6, 2007 Deduction Modulo implements Poincar´e’s principle by identifying deduction and computation as diff...
Guillaume Burel, Claude Kirchner
AI
2006
Springer
14 years 11 months ago
Solving logic program conflict through strong and weak forgettings
We consider how to forget a set of atoms in a logic program. Intuitively, when a set of atoms is forgotten from a logic program, all atoms in the set should be eliminated from thi...
Yan Zhang, Norman Y. Foo
MSCS
2007
125views more  MSCS 2007»
14 years 11 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
RTA
2010
Springer
15 years 3 months ago
A Proof Calculus Which Reduces Syntactic Bureaucracy
In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is available through the tree structure. We present in this paper a logicindependent ...
Alessio Guglielmi, Tom Gundersen, Michel Parigot