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81
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CSL
2004
Springer
15 years 3 months ago
Abstract Interpretation of Proofs: Classical Propositional Calculus
Interpretation of Proofs: Classical Propositional Calculus Martin Hyland DPMMS, Centre for Mathematical Sciences, University of Cambridge, England Representative abstract interpret...
Martin Hyland
92
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TLCA
2005
Springer
15 years 3 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger
84
Voted
AML
2002
112views more  AML 2002»
14 years 10 months ago
Strong normalization of a symmetric lambda calculus for second-order classical logic
Abstract We extend Barbanera and Berardi's symmetric lambda calculus [2] to second order classical propositional logic and prove its strong normalization.
Yoriyuki Yamagata
90
Voted
TLCA
2009
Springer
15 years 4 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger
LPAR
2001
Springer
15 years 2 months ago
A Local System for Classical Logic
Abstract. The calculus of structures is a framework for specifying logical systems, which is similar to the one-sided sequent calculus but more general. We present a system of infe...
Kai Brünnler, Alwen Fernanto Tiu