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SYNTHESE
2010
87views more  SYNTHESE 2010»
15 years 4 months ago
Proofs, pictures, and Euclid
Though pictures are often used to present mathematical arguments, they are not typically thought to be an acceptable means for presenting mathematical arguments rigorously. With re...
John Mumma
AML
2010
96views more  AML 2010»
15 years 6 months ago
Implicational (semilinear) logics I: a new hierarchy
In Abstract Algebraic Logic, the general study of propositional non-classical logics has been traditionally based on the abstraction of the Lindenbaum-Tarski process. In this proce...
Petr Cintula, Carles Noguera
IJCAI
2007
15 years 7 months ago
Embedding Non-Ground Logic Programs into Autoepistemic Logic for Knowledge-Base Combination
In the context of the Semantic Web, several approaches to the combination of ontologies, given in terms of theories of classical first-order logic, and rule bases have been propo...
Jos de Bruijn, Thomas Eiter, Axel Polleres, Hans T...
ECSQARU
2009
Springer
16 years 16 days ago
Realizing Default Logic over Description Logic Knowledge Bases
Abstract. We consider a realization of Reiter-style default logic on top of description logic knowledge bases (DL-KBs). To this end, we present elegant transformations from default...
Minh Dao-Tran, Thomas Eiter, Thomas Krennwallner
LFCS
2009
Springer
16 years 15 days ago
Decidability and Undecidability in Probability Logic
We study computational aspects of a probabilistic logic based on a well-known model of induction by Valiant. We prove that for this paraconsistent logic the set of valid formulas ...
Sebastiaan Terwijn