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AAAI
2010
15 years 1 months ago
Ordered Completion for First-Order Logic Programs on Finite Structures
In this paper, we propose a translation from normal first-order logic programs under the answer set semantics to first-order theories on finite structures. Specifically, we introd...
Vernon Asuncion, Fangzhen Lin, Yan Zhang, Yi Zhou
LOGCOM
2010
104views more  LOGCOM 2010»
14 years 10 months ago
Herbrand's Theorem, Skolemization and Proof Systems for First-Order Lukasiewicz Logic
Abstract. An approximate Herbrand theorem is established for firstorder infinite-valued Lukasiewicz Logic and used to obtain a proof-theoretic proof of Skolemization. These resul...
Matthias Baaz, George Metcalfe
CORR
2011
Springer
180views Education» more  CORR 2011»
14 years 6 months ago
Representing First-Order Causal Theories by Logic Programs
Nonmonotonic causal logic, introduced by Norman McCain and Hudson Turner, became a basis for the semantics of several expressive action languages. McCain’s embedding of definit...
Paolo Ferraris, Joohyung Lee, Yuliya Lierler, Vlad...
105
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TIME
2008
IEEE
15 years 6 months ago
Practical First-Order Temporal Reasoning
In this paper we consider the specification and verification of infinite-state systems using temporal logic. In particular, we describe parameterised systems using a new variet...
Clare Dixon, Michael Fisher, Boris Konev, Alexei L...
JELIA
2010
Springer
14 years 10 months ago
Translating First-Order Causal Theories into Answer Set Programming
Abstract. Nonmonotonic causal logic became a basis for the semantics of several expressive action languages. Norman McCain and Paolo Ferraris showed how to embed propositional caus...
Vladimir Lifschitz, Fangkai Yang