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A Calculus and Complexity Bound for Minimal Conditional Logic

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Book cover Theoretical Computer Science (ICTCS 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2202))

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Abstract

In this paper, we introduce a cut-free sequent calculus for minimal conditional logic CK and three extensions of it: namely, with ID, MP and both of them. The calculus uses labels and transition formulas and can be used to prove decidability and space complexity bounds for the respective logics. As a first result, we show that CK can be decided in O(n log n) space.

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Authors and Affiliations

  1. Dipartimento di Informatica, Università di Torino, Italy

    Nicola Olivetti

  2. Faculté des Sciences de Luminy, LIM, Marseille, France

    Camilla B. Schwind

Authors
  1. Nicola Olivetti
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  2. Camilla B. Schwind
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© 2001 Springer-Verlag Berlin Heidelberg

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Olivetti, N., Schwind, C.B. (2001). A Calculus and Complexity Bound for Minimal Conditional Logic. In: Theoretical Computer Science. ICTCS 2001. Lecture Notes in Computer Science, vol 2202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45446-2_25

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  • DOI: https://doi.org/10.1007/3-540-45446-2_25

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42672-1

  • Online ISBN: 978-3-540-45446-5

  • eBook Packages: Springer Book Archive

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