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LCC
1994
200views Algorithms» more  LCC 1994»
13 years 11 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
14 years 2 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
13 years 11 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
TLCA
1993
Springer
13 years 11 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