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» The basic intuitionistic logic of proofs
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RTA
1999
Springer
13 years 10 months ago
On the Strong Normalisation of Natural Deduction with Permutation-Conversions
We present a modular proof of the strong normalisation of intuitionistic logic with permutation-conversions. This proof is based on the notions of negative translation and CPS-simu...
Philippe de Groote
BSL
2004
100views more  BSL 2004»
13 years 6 months ago
Forcing in proof theory
Paul Cohen's method of forcing, together with Saul Kripke's related semantics for modal and intuitionistic logic, has had profound effects on a number of branches of mat...
Jeremy Avigad
LICS
2010
IEEE
13 years 4 months ago
An Intuitionistic Logic that Proves Markov's Principle
—We design an intuitionistic predicate logic that supports a limited amount of classical reasoning, just enough to prove a variant of Markov’s principle suited for predicate lo...
Hugo Herbelin
JAR
2010
123views more  JAR 2010»
13 years 4 months ago
A Framework for Proof Systems
Meta-logics and type systems based on intuitionistic logic are commonly used for specifying natural deduction proof systems. We shall show here that linear logic can be used as a m...
Vivek Nigam, Dale Miller
AISC
2008
Springer
13 years 8 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban