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» Axiomatizing Distance Logics
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AMAI
2004
Springer
15 years 11 months ago
Deductive Algorithmic Knowledge
The framework of algorithmic knowledge assumes that agents use algorithms to compute the facts they explicitly know. In many cases of interest, a logical theory, rather than a par...
Riccardo Pucella
ENTCS
2010
119views more  ENTCS 2010»
15 years 5 months ago
A Tableau Method for Checking Rule Admissibility in S4
Rules that are admissible can be used in any derivations in any axiomatic system of a logic. In this paper we introduce a method for checking the admissibility of rules in the mod...
Sergey Babenyshev, Vladimir V. Rybakov, Renate A. ...
MKM
2007
Springer
15 years 12 months ago
Biform Theories in Chiron
An axiomatic theory represents mathematical knowledge declaratively as a set of axioms. An algorithmic theory represents mathematical knowledge procedurally as a set of algorithms....
William M. Farmer
ECAI
2010
Springer
15 years 7 months ago
Optimal Tableaux for Conditional Logics with Cautious Monotonicity
Conditional logics capture default entailment in a modal framework in which non-monotonic implication is a first-class citizen, and in particular can be negated and nested. There i...
Lutz Schröder, Dirk Pattinson, Daniel Hausman...
CADE
2012
Springer
13 years 8 months ago
Combination of Disjoint Theories: Beyond Decidability
Combination of theories underlies the design of satisfiability modulo theories (SMT) solvers. The Nelson-Oppen framework can be used to build a decision procedure for the combinat...
Pascal Fontaine, Stephan Merz, Christoph Weidenbac...