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» A realizability interpretation for classical analysis
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AML
2004
66views more  AML 2004»
13 years 5 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 5 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 23 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
MLQ
2010
99views more  MLQ 2010»
13 years 4 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