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» Modal Logics, Description Logics and Arithmetic Reasoning
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CADE
2010
Springer
14 years 11 months ago
Beluga: A Framework for Programming and Reasoning with Deductive Systems (System Description)
Beluga is an environment for programming and reasoning about formal systems given by axioms and inference rules. It implements the logical framework LF for specifying and prototypi...
Brigitte Pientka, Joshua Dunfield
CADE
2003
Springer
15 years 10 months ago
Optimizing Higher-Order Pattern Unification
Abstract. We present an abstract view of existential variables in a dependently typed lambda-calculus based on modal type theory. This allows us to justify optimizations to pattern...
Brigitte Pientka, Frank Pfenning
ISDA
2009
IEEE
15 years 4 months ago
Extending Datatype Restrictions in Fuzzy Description Logics
Fuzzy Description Logics (DLs) are a family of logics which allow the representation of (and the reasoning within) structured knowledge affected by vagueness. Although a relativel...
Fernando Bobillo, Umberto Straccia
DLOG
2011
14 years 1 months ago
Paraconsistent Rough Description Logic
Abstract. In this paper, we introduce a paraconsistent extension of Rough Description Logics which allows the representation of incomplete and contradictory concepts, as well as th...
Henrique Viana, João Alcântara, Ana T...
DLOG
2006
14 years 11 months ago
PSPACE Automata for Description Logics
Tree automata are often used for satisfiability testing in the area of description logics, which usually yields ExpTime complexity results. We examine conditions under which this ...
Jan Hladik, Rafael Peñaloza