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TLCA
2009
Springer
13 years 11 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
TLCA
2005
Springer
13 years 10 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
CIE
2010
Springer
13 years 10 months ago
What Is the Problem with Proof Nets for Classical Logic?
This paper is an informal (and nonexhaustive) overview over some existing notions of proof nets for classical logic, and gives some hints why they might be considered to be unsatis...
Lutz Straßburger
CSL
2004
Springer
13 years 10 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
LCC
1994
200views Algorithms» more  LCC 1994»
13 years 9 months ago
Program Extraction from Classical Proofs
We demonstrate program extraction by the Light Dialectica Interpretation (LDI) on a minimal logic proof of the classical existence of Fibonacci numbers. This semi-classical proof ...
Ulrich Berger, Helmut Schwichtenberg