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» Sheaf toposes for realizability
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92
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AML
2008
57views more  AML 2008»
14 years 10 months ago
Sheaf toposes for realizability
We compare realizability models over partial combinatory algebras by embedding them into sheaf toposes. We then use the machinery of Grothendieck toposes and geometric morphisms t...
Steven Awodey, Andrej Bauer
65
Voted
TLCA
1993
Springer
15 years 2 months ago
Modified Realizability Toposes and Strong Normalization Proofs
J. M. E. Hyland, C.-H. Luke Ong
40
Voted
MSCS
2002
54views more  MSCS 2002»
14 years 9 months ago
Local Realizability Toposes and a Modal Logic for Computability
Steven Awodey, Lars Birkedal, Dana S. Scott
BSL
2007
51views more  BSL 2007»
14 years 10 months ago
Relating First-order Set Theories and Elementary Toposes
We show how to interpret the language of first-order set theory in an elementary topos endowed with, as extra structure, a directed structural system of inclusions (dssi). As our ...
Steven Awodey, Carsten Butz, Alex Simpson, Thomas ...