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» Normal Proofs in Intruder Theories
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TYPES
1998
Springer
13 years 9 months ago
Proof Normalization Modulo
We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theo...
Gilles Dowek, Benjamin Werner
RTA
2007
Springer
13 years 11 months ago
A Simple Proof That Super-Consistency Implies Cut Elimination
Abstract. We give a simple and direct proof that super-consistency implies cut elimination in deduction modulo. This proof can be seen as a simplification of the proof that super-...
Gilles Dowek, Olivier Hermant
LICS
2008
IEEE
13 years 11 months ago
Typed Normal Form Bisimulation for Parametric Polymorphism
This paper presents a new bisimulation theory for parametric polymorphism which enables straightforward coinductive proofs of program equivalences involving existential types. The...
Søren B. Lassen, Paul Blain Levy
CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 5 months ago
Classical BI: Its Semantics and Proof Theory
We present Classical BI (CBI), a new addition to the family of bunched logics which originates in O'Hearn and Pym's logic of bunched implications BI. CBI differs from exi...
James Brotherston, Cristiano Calcagno
CORR
2011
Springer
170views Education» more  CORR 2011»
12 years 8 months ago
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
Andreas Abel, Thierry Coquand, Miguel Pagano