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LCC
1994
200views Algorithms» more  LCC 1994»
15 years 1 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
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
CIE
2006
Springer
15 years 1 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
78
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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