5 search results - page 1 / 1 » On Krivine's Realizability Interpretation of Classical Secon... |
FUIN
2008
13 years 11 months ago
2008
This article investigates Krivine's realizability interpretation of classical second-order arithmetic and its recent extension handling countable choice. We will start by pre...
CORR
2011
Springer
13 years 5 months ago
2011
Springer
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...
CSL
2007
Springer
14 years 5 months ago
2007
Springer
We show how to extract classical programs expressed in Krivine λc-calculus from proof-terms built in a proof-irrelevant and classical version of the calculus of constructions with...
CSL
2000
Springer
14 years 3 months ago
2000
Springer
In the ambient logic of classical second order propositional calculus, we solve the specification problem for a family of excluded middle like tautologies. These are shown to be r...
APAL
2010
13 years 11 months ago
2010
A logic-enriched type theory (LTT) is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named LTT0 and LTT 0, which we...