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» On the Meaning of Logical Completeness
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WOLLIC
2009
Springer
15 years 4 months ago
Forcing-Based Cut-Elimination for Gentzen-Style Intuitionistic Sequent Calculus
We give a simple intuitionistic completeness proof of Kripke semantics with constant domain for intuitionistic logic with implication and universal quantification. We use a cut-fr...
Hugo Herbelin, Gyesik Lee
TABLEAUX
2009
Springer
15 years 4 months ago
Sound Global State Caching for ALC with Inverse Roles
Abstract. We give an optimal (exptime), sound and complete tableaubased algorithm for deciding satisfiability with respect to a TBox in the logic ALCI using global state caching. ...
Rajeev Goré, Florian Widmann
CORR
2011
Springer
170views Education» more  CORR 2011»
14 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
PPDP
2001
Springer
15 years 2 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»
14 years 10 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