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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2016 Volume 56, Number 4, Pages 694–703 (Mi zvmmf10373)

This article is cited in 1 paper

Exponential examples of solving parity games

V. N. Lebedev

Volgograd State University

Abstract: This paper is devoted to solving certain problems on the computational complexity of deciding the winner in cyclic games. The main result is the proof of the fact that the nondeterministic potential transformation algorithm designed for solving parity games is exponential in terms of computation time.

Key words: cyclic game, potential transformations, computational complexity, deciding the winner in cyclic games.

UDC: 519.7

Received: 14.03.2014
Revised: 25.09.2015

DOI: 10.7868/S004446691604013X


 English version:
Computational Mathematics and Mathematical Physics, 2016, 56:4, 688–697

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© Steklov Math. Inst. of RAS, 2026