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» On Automating the Calculus of Relations
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TLCA
2007
Springer
15 years 10 months ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek
POPL
2004
ACM
16 years 4 months ago
Extensional normalisation and type-directed partial evaluation for typed lambda calculus with sums
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...
Vincent Balat, Roberto Di Cosmo, Marcelo P. Fiore
LICS
2002
IEEE
15 years 9 months ago
Tree Extension Algebras: Logics, Automata, and Query Languages
We study relations on trees defined by first-order constraints over a vocabulary that includes the tree extension relation Ì Ì ¼, holding if and only if every branch of Ì ex...
Michael Benedikt, Leonid Libkin
LFCS
1994
Springer
15 years 8 months ago
Strong Normalization in a Non-Deterministic Typed Lambda-Calculus
In a previous paper [4], we introduced a non-deterministic -calculus (-LK) whose type system corresponds exactly to Gentzen's cut-free LK [9]. This calculus, however, cannot b...
Philippe de Groote
IJAR
2008
98views more  IJAR 2008»
15 years 4 months ago
Fuzzy region connection calculus: Representing vague topological information
Qualitative spatial information plays a key role in many applications. While it is well-recognized that all but a few of these applications deal with spatial information that is a...
Steven Schockaert, Martine De Cock, Chris Cornelis...