Extended Full Computation-Tree Logic with Sequence Modal Operator: Representing Hierarchical Tree Structures

  • Authors:
  • Norihiro Kamide;Ken Kaneiwa

  • Affiliations:
  • Waseda Institute for Advanced Study, Tokyo, Japan 169-8050;National Institute of Information and Communications Technology, Kyoto, Japan 619-0289

  • Venue:
  • AI '09 Proceedings of the 22nd Australasian Joint Conference on Advances in Artificial Intelligence
  • Year:
  • 2009

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Abstract

An extended full computation-tree logic, CTLS*, is introduced as a Kripke semantics with a sequence modal operator. This logic can appropriately represent hierarchical tree structures where sequence modal operators in CTLS* are applied to tree structures. An embedding theorem of CTLS* into CTL* is proved. The validity, satisfiability and model-checking problems of CTLS* are shown to be decidable. An illustrative example of biological taxonomy is presented using CTLS* formulas.