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» A realizability interpretation for classical analysis
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AML
2004
66views more  AML 2004»
13 years 10 months ago
A realizability interpretation for classical analysis
We present a realizability interpretation for classical analysis
Henry Towsner
FUIN
2008
73views more  FUIN 2008»
13 years 11 months ago
On Krivine's Realizability Interpretation of Classical Second-Order Arithmetic
This article investigates Krivine's realizability interpretation of classical second-order arithmetic and its recent extension handling countable choice. We will start by pre...
Paulo Oliva, Thomas Streicher
CORR
2011
Springer
137views Education» more  CORR 2011»
13 years 5 months 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
MLQ
2010
99views more  MLQ 2010»
13 years 9 months ago
Proof interpretations with truth
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Jaime Gaspar, Paulo Oliva