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CSL
2005
Springer
15 years 5 months ago
Computing with Sequences, Weak Topologies and the Axiom of Choice
We study computability on sequence spaces, as they are used in functional analysis. It is known that non-separable normed spaces cannot be admissibly represented on Turing machines...
Vasco Brattka, Matthias Schröder
CSL
2005
Springer
15 years 5 months ago
Light Functional Interpretation
We give a Natural Deduction formulation of an adaptation of G¨odel’s functional (Dialectica) interpretation to the extraction of (more) efficient programs from (classical) proof...
Mircea-Dan Hernest
CSL
2005
Springer
15 years 5 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
CSL
2004
Springer
15 years 5 months ago
Fixed Points of Type Constructors and Primitive Recursion
Abstract. For nested or heterogeneous datatypes, terminating recursion schemes considered so far have been instances of iteration, excluding efficient definitions of fixed-point ...
Andreas Abel, Ralph Matthes
CSL
2004
Springer
15 years 5 months ago
Complete Lax Logical Relations for Cryptographic Lambda-Calculi
Abstract. Security properties are profitably expressed using notions of contextual equivalence, and logical relations are a powerful proof technique to establish contextual equiva...
Jean Goubault-Larrecq, Slawomir Lasota, David Nowa...