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» A Connection Based Proof Method for Intuitionistic Logic
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CADE
2005
Springer
15 years 9 months ago
A Focusing Inverse Method Theorem Prover for First-Order Linear Logic
We present the theory and implementation of a theorem prover for first-order intuitionistic linear logic based on the inverse method. The central proof-theoretic insights underlyin...
Kaustuv Chaudhuri, Frank Pfenning
FROCOS
2000
Springer
15 years 1 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
RTA
1999
Springer
15 years 1 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»
14 years 9 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
73
Voted
ESOP
2001
Springer
15 years 2 months ago
Proof-Directed De-compilation of Low-Level Code
Abstract. We present a proof theoretical method for de-compiling lowlevel code to the typed lambda calculus. We first define a proof system for a low-level code language based on...
Shin-ya Katsumata, Atsushi Ohori