Reasoning about Choice

  • Wiebe van der Hoek
  • Nicolas Troquard
  • Michael Wooldridge
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8068)

Abstract

We present a logic for reasoning about choice. Choice ctl (c-ctl) extends the well-known branching-time temporal logic ctl with choice modalities, “\(\Diamond\)” and “□”. An example c-ctl formula is \(\Diamond\)AFhappy, asserting that there exists a choice that will lead to happiness. c-ctl is related to both stit logics and temporal cooperation logics such as atl, but has a much simpler and (we argue) more intuitive syntax and semantics. After presenting the logic, we investigate the properties of the language. We characterise the complexity of the c-ctl model checking problem, investigate some validities, and propose multi-agent extensions to the logic.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Wiebe van der Hoek
    • 1
  • Nicolas Troquard
    • 2
  • Michael Wooldridge
    • 3
  1. 1.University of LiverpoolUK
  2. 2.Institute of Cognitive Sciences and Technologies (ISTC-CNR)Italy
  3. 3.University of OxfordUK

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