Modelling of Chance Discovery in variations of Linear Temporal Logic implementing agents' interaction

  • Authors:
  • Vladimir Rybakov

  • Affiliations:
  • Department of Computing and Mathematics, Manchester Metropolitan University, John Dalton Building, Chester Street, Manchester M1 5GD, UK/ Siberian Federal University, Krasnoyarsk, Russia

  • Venue:
  • International Journal of Advanced Intelligence Paradigms
  • Year:
  • 2010

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Abstract

The paper constructs a mathematical model for logical properties of Chance Discovery (CD) based on Linear Temporal Logic (LTL). We study an extension LTLIACD of LTL by implementing multi-agent knowledge logic Km and special operations to model discovery: discoverable via interaction (unary) operation DIA and (unary) operations for local and global discovery: ◊D,l and ◊D,g. We prove that LTLIACD is decidable and extend this result to a linear temporal logic LTLIACD (Z) based on the time flow indexed by all integer numbers.