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» A Methodology for Equational Reasoning
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TLCA
2007
Springer
14 years 3 months ago
Computation by Prophecy
We describe a new method to represent (partial) recursive functions in type theory. For every recursive definition, we define a co-inductive type of prophecies that characterises...
Ana Bove, Venanzio Capretta
LICS
2006
IEEE
14 years 3 months ago
Boolean Algebras for Lambda Calculus
In this paper we show that the Stone representation theorem for Boolean algebras can be generalized to combinatory algebras. In every combinatory algebra there is a Boolean algebr...
Giulio Manzonetto, Antonino Salibra
CSL
2005
Springer
14 years 2 months ago
Decidability of Type-Checking in the Calculus of Algebraic Constructions with Size Annotations
Since Val Tannen's pioneering work on the combination of simply-typed λ-calculus and rst-order rewriting [11], many authors have contributed to this subject by extending it ...
Frédéric Blanqui
CSL
2004
Springer
14 years 2 months ago
Axioms for Delimited Continuations in the CPS Hierarchy
A CPS translation is a syntactic translation of programs, which is useful for describing their operational behavior. By iterating the standard call-by-value CPS translation, Danvy ...
Yukiyoshi Kameyama
IFL
2004
Springer
138views Formal Methods» more  IFL 2004»
14 years 2 months ago
A Rational Deconstruction of Landin's SECD Machine
Landin’s SECD machine was the first abstract machine for the λ-calculus viewed as a programming language. Both theoretically as a model of computation and practically as an ide...
Olivier Danvy