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AAAI
2010
13 years 9 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»
13 years 6 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»
13 years 2 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...
TIME
2008
IEEE
14 years 2 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
13 years 6 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