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» Program Extraction from Classical Proofs
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130
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LCC
1994
200views Algorithms» more  LCC 1994»
15 years 7 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
122
Voted
TLCA
2009
Springer
15 years 10 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
134
Voted
CIE
2006
Springer
15 years 7 months ago
Understanding and Using Spector's Bar Recursive Interpretation of Classical Analysis
This note reexamines Spector's remarkable computational interpretation of full classical analysis. Spector's interpretation makes use of a rather abstruse recursion schem...
Paulo Oliva
136
Voted
TLCA
1993
Springer
15 years 7 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