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MSCS
2002
54views more  MSCS 2002»
13 years 4 months ago
Local Realizability Toposes and a Modal Logic for Computability
Steven Awodey, Lars Birkedal, Dana S. Scott
AML
2008
57views more  AML 2008»
13 years 5 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
TCS
2011
12 years 11 months ago
Realizability models and implicit complexity
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...
Ugo Dal Lago, Martin Hofmann
CSR
2010
Springer
13 years 9 months ago
Prehistoric Phenomena and Self-referentiality
By terms-allowed-in-types capacity, the Logic of Proofs LP includes formulas of the form t : Ï•(t), which have self-referential meanings. In this paper, “prehistoric phenomenaâ€...
Junhua Yu
CSL
2005
Springer
13 years 10 months ago
Distributed Control Flow with Classical Modal Logic
In previous work we presented a foundational calculus for spatially distributed computing based on intuitionistic modal logic. With the modalities P and Q we were able to capture t...
Tom Murphy VII, Karl Crary, Robert Harper