5 search results - page 1 / 1 » On Krivine's Realizability Interpretation of Classical Secon... |
FUIN
2008
13 years 5 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
12 years 12 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
13 years 11 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
13 years 9 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 5 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...