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APAL
2005
107views more  APAL 2005»
13 years 7 months ago
Uniform Heyting arithmetic
We present an extension of Heyting Arithmetic in finite types called Uniform Heyting Arithmetic (HAu) that allows for the extraction of optimized programs from constructive and cla...
Ulrich Berger
TABLEAUX
2005
Springer
14 years 1 months ago
Description Logics in Ontology Applications
Abstract. Description Logics (DLs) are a family of logic based knowledge representation formalisms. Although they have a range of applications (e.g., configuration and information...
Ian Horrocks
TABLEAUX
2009
Springer
14 years 2 months ago
Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies
We present a terminating tableau calculus for graded hybrid logic with global modalities, reflexivity, transitivity and role hierarchies. Termination of the system is achieved thr...
Mark Kaminski, Sigurd Schneider, Gert Smolka
FOCS
1989
IEEE
13 years 11 months ago
A Really Temporal Logic
We introduce a temporal logic for the speci cation of real-time systems. Our logic, TPTL, employs a novel quanti er construct for referencing time: the freeze quanti er binds a var...
Rajeev Alur, Thomas A. Henzinger
PADL
2004
Springer
14 years 27 days ago
Implementing Cut Elimination: A Case Study of Simulating Dependent Types in Haskell
Gentzen’s Hauptsatz – cut elimination theorem – in sequent calculi reveals a fundamental property on logic connectives in various logics such as classical logic and intuition...
Chiyan Chen, Dengping Zhu, Hongwei Xi