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Inductive properties of states

  • Knowledge Representation and Reasoning
  • Conference paper
  • First Online:
Advanced Topics in Artificial Intelligence (AI 1997)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1342))

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Abstract

In the situation calculus states are often distinguished from situations by the assumption that situations are paths in a rooted tree while a state is a particular truth assignment to the fluents. It is then possible that two situations have end points that agree on all fluents, i.e., are the same state, and yet be distinct from the perspective of situations. This has the merit of making inductive proofs simple as it introduces two axioms amounting to enforcing the rooted tree structure that are used as trivial bases for the inductions. In this paper we show that the tree structure is dispensable for induction when the underlying system is deterministic, thus elevating the state perspective to equal status.

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Author information

Authors and Affiliations

  1. Knowledge Systems Group, School of Computer Science and Engineering, University of New South Wales, NSW 2052, Australia

    Norman Foo

  2. Knowledge Systems Group, Department of Computing, School of MPCE, Macquarie University, NSW 2109, Australia

    Pavlos Peppas

  3. Knowledge Systems Group, Department of Computing, University of Western Sydney, NSW 2747, Nepean, Australia

    Yan Zhang

Authors
  1. Norman Foo
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  2. Pavlos Peppas
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  3. Yan Zhang
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Editor information

Abdul Sattar

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© 1997 Springer-Verlag Berlin Heidelberg

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Foo, N., Peppas, P., Zhang, Y. (1997). Inductive properties of states. In: Sattar, A. (eds) Advanced Topics in Artificial Intelligence. AI 1997. Lecture Notes in Computer Science, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63797-4_75

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  • DOI: https://doi.org/10.1007/3-540-63797-4_75

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63797-4

  • Online ISBN: 978-3-540-69649-0

  • eBook Packages: Springer Book Archive

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