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Inductive properties of states

  • Norman Foo
  • Pavlos Peppas
  • Yan Zhang
Knowledge Representation and Reasoning
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1342)

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.

Keywords

situation calculus states induction automaton actions 

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Norman Foo
    • 1
  • Pavlos Peppas
    • 2
  • Yan Zhang
    • 3
  1. 1.Knowledge Systems Group, School of Computer Science and EngineeringUniversity of New South WalesAustralia
  2. 2.Knowledge Systems Group, Department of Computing, School of MPCEMacquarie UniversityAustralia
  3. 3.Knowledge Systems Group, Department of ComputingUniversity of Western SydneyNepeanAustralia

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