Undecidability of a Multi-Agent Logic

  • Authors:
  • Magdalena Kacprzak

  • Affiliations:
  • Bialystok University of Technology, Institute of Mathematics and Physics, 15-351 Bialystok, ul. Wiejska 45A, Poland

  • Venue:
  • Fundamenta Informaticae - Concurrency Specification and Programming (CS&P'2002), Part 1
  • Year:
  • 2003

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Abstract

The paper presents an original logical system for reasoning about groups of interacting, autonomous processes, i.e. multi-agent systems. In the paper, an agent is considered as a couple consisting of a set of methods and of a queue of tasks. We show that the logic is not decidable. It is done by the reduction from the recurring domino problem.