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JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2008, Issue 11, Pages 9–22 (Mi vtpmk386)

Theoretical Foundations of Computer Science

Probabilistic multiagent systems: semantics and verification

M. K. Valieva, M. I. Dekhtyar'b

a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
b Tver State University, Tver

Abstract: Probabilistic systems of interacting intelligent agents are considered. They have two sources of uncertainty: uncertainty of communication channels and uncertainty of the results of actions. We show how such systems can be polynomially transformed to finite state Markov chains. This allows one to transfer known results on verifying temporal properties of the finite state Markov chains to the probabilistic multi-agent systems of considered type.

Keywords: multiagent system, logic program, Markov chain, temporal logic, verification, complexity of algorithms.

UDC: 519.68:681.51

Received: 27.11.2008
Revised: 03.12.2008



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