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A sequent calculus for circumscription

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Computer Science Logic (CSL 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1414))

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Abstract

In this paper, we introduce a sequent calculus CIRC for propositional Circumscription. This work is part of a larger project, aiming at a uniform proof-theoretic reconstruction of the major families of non-monotonic logics. Among the novelties of the calculus, we mention that CIRC is analytic and comprises an axiomatic rejection method, which allows for a fully detailed formalization of the nonmonotonic aspects of inference.

We mention the semantics of negation in logic programming, inheritance in object oriented languages, and the structured operational semantics of process algebras (transition system specifications with negative premisses).

Recall that one of the original motivations of Reiter's Default Logic is modelling default values in databases.

From Levesque's system, Jiang [17] derived a resolution principle for clausal autoepistemic theories.

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Authors and Affiliations

  1. Dip. di Informatica, Universitá di Torino, Corso Svizzera 185, I-10149, Torino, Italy

    P. A. Bonatti & N. Olivetti

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  1. P. A. Bonatti
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  2. N. Olivetti
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Mogens Nielsen Wolfgang Thomas

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© 1998 Springer-Verlag Berlin Heidelberg

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Bonatti, P.A., Olivetti, N. (1998). A sequent calculus for circumscription. In: Nielsen, M., Thomas, W. (eds) Computer Science Logic. CSL 1997. Lecture Notes in Computer Science, vol 1414. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028009

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  • DOI: https://doi.org/10.1007/BFb0028009

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  • Print ISBN: 978-3-540-64570-2

  • Online ISBN: 978-3-540-69353-6

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