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CORR
2011
Springer
170views Education» more  CORR 2011»
13 years 1 months ago
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
Andreas Abel, Thierry Coquand, Miguel Pagano
NMR
2004
Springer
14 years 2 months ago
Semantics of disjunctive programs with monotone aggregates - an operator-based approach
All major semantics of normal logic programs and normal logic programs with aggregates can be described as fixpoints of the one-step provability operator or of operators that can...
Nikolay Pelov, Miroslaw Truszczynski
PPDP
2001
Springer
14 years 1 months ago
An Implementation of Narrowing Strategies
This paper describes an implementation of narrowing, an essential component of implementations of modern functional logic languages. These implementations rely on narrowing, in pa...
Sergio Antoy, Michael Hanus, Bart Massey, Frank St...
CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 9 months ago
Classical BI: Its Semantics and Proof Theory
We present Classical BI (CBI), a new addition to the family of bunched logics which originates in O'Hearn and Pym's logic of bunched implications BI. CBI differs from exi...
James Brotherston, Cristiano Calcagno
IGPL
1998
97views more  IGPL 1998»
13 years 8 months ago
Towards Structurally-Free Theorem Proving
Is it possible to compute in which logics a given formula is deducible? The aim of this paper is to provide a formal basis to answer positively this question in the context of sub...
Marcelo Finger