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CORR
2011
Springer
137views Education» more  CORR 2011»
13 years 12 days ago
Existential witness extraction in classical realizability and via a negative translation
Abstract. We show how to extract existential witnesses from classical proofs using Krivine’s classical realizability—where classical proofs are interpreted as λ-terms with the...
Alexandre Miquel
TLCA
2009
Springer
13 years 12 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
2010
Springer
13 years 10 months ago
The Peirce Translation and the Double Negation Shift
We develop applications of selection functions to proof theory and computational extraction of witnesses from proofs in classical analysis. The main novelty is a translation of cla...
Martín Hötzel Escardó, Paulo Ol...