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APAL
2011
12 years 11 months ago
The Suslin operator in applicative theories: Its proof-theoretic analysis via ordinal theories
The Suslin operator E1 is a type-2 functional testing for the wellfoundedness of binary relations on the natural numbers. In the context of applicative theories, its proof-theoret...
Gerhard Jäger, Dieter Probst
KR
2004
Springer
13 years 9 months ago
Inductive Situation Calculus
Temporal reasoning has always been a major test case for knowledge representation formalisms. In this paper, we develop an inductive variant of the situation calculus using the Lo...
Marc Denecker, Eugenia Ternovska
CAISE
2004
Springer
13 years 9 months ago
Data Integration Using ID-Logic
Abstract. ID-Logic is a knowledge representation language that extends first-order logic with non-monotone inductive definitions. This paper introduces an ID-Logic based framewor...
Bert Van Nuffelen, Alvaro Cortés-Calabuig, ...