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» Extracting Algorithms from Intuitionistic Proofs
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MLQ
1998
61views more  MLQ 1998»
14 years 9 months ago
Extracting Algorithms from Intuitionistic Proofs
This paper presents a new method – which does not rely on the cut-elimination theorem – for characterizing the provably total functions of certain intuitionistic subsystems of ...
Fernando Ferreira, António Marques
TLCA
2009
Springer
15 years 4 months ago
Relating Classical Realizability and Negative Translation for Existential Witness Extraction
Friedman showed how to turn a classical proof of a Σ0 1 formula into an intuitionistic proof of the same formula, thus giving an effective method to extract witnesses from classi...
Alexandre Miquel
68
Voted
TABLEAUX
1995
Springer
15 years 1 months ago
On Transforming Intuitionistic Matrix Proofs into Standard-Sequent Proofs
We present a procedure transforming intuitionistic matrix proofs into proofs within the intuitionistic standard sequent calculus. The transformation is based on L. Wallen’s proof...
Stephan Schmitt, Christoph Kreitz
TABLEAUX
2009
Springer
15 years 2 months ago
Proof Search and Counter-Model Construction for Bi-intuitionistic Propositional Logic with Labelled Sequents
Abstract. Bi-intuitionistic logic is a conservative extension of intuitionistic logic with a connective dual to implication, called exclusion. We present a sound and complete cut-f...
Luis Pinto, Tarmo Uustalu
78
Voted
TLCA
1993
Springer
15 years 1 months ago
Program Extraction from Normalization Proofs
This paper describes formalizations of Tait’s normalization proof for the simply typed λ-calculus in the proof assistants Minlog, Coq and Isabelle/HOL. From the formal proofs p...
Ulrich Berger