A pspace complete problem related to a pebble game

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Abstract

The pebble game on AND/OR dags which is natural generalization of a well known pebble game on dags is considered. The following problem is given: if k pebbles are enough to place a pebble on a given vertex of an AND/OR dag. It is shown that the problem is log-space complete for languages accepted in polynomial space.

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Lingas, A. (1978). A pspace complete problem related to a pebble game. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 62 LNCS, pp. 300–321). Springer Verlag. https://doi.org/10.1007/3-540-08860-1_22

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