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Trans-epistemic semantics for logic programs

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Logic Programming and Nonmonotonic Reasoning (LPNMR 1995)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 928))

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Abstract

Each stable model of a logic program is computed in isolation. This does not allow one to reason in any stable model with information from other stable models. Such information interchange is needed when computing with full introspection, as performed by Gelfond's epistemic specifications, or when modeling multi-agent reasoning using stable models. In this paper, we define syntactic and semantic structures that allow the use of information from multiple stable models when computing one stable model. Hence a notion of second order stability is introduced and every computed model should be stable at that level. We define a concept of trans-epistemic (te-) logic programs that is reduced to a logic program using information from a trans-epistemic interpretation. The te-interpretation is checked for stability against the set of stable models of the logic program using a consensus function. We discus the properties of trans-epistemic stable models and motivate their use with examples.

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V. Wiktor Marek Anil Nerode M. Truszczyński

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© 1995 Springer-Verlag Berlin Heidelberg

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Rajasekar, A. (1995). Trans-epistemic semantics for logic programs. In: Marek, V.W., Nerode, A., Truszczyński, M. (eds) Logic Programming and Nonmonotonic Reasoning. LPNMR 1995. Lecture Notes in Computer Science, vol 928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59487-6_28

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  • DOI: https://doi.org/10.1007/3-540-59487-6_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59487-1

  • Online ISBN: 978-3-540-49282-5

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