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White pebbles help. (English) Zbl 0657.68049
Author’s summary: “It is proved that for infinitely many n there is a directed acyclic graph with vertex indegrees bounded by 2 that has a strategy of the black-white pebble game using n pebbles and for which any strategy of the black pebble game requires \(\Omega\) (n log n/log log n) pebbles. This shows that there is a family of straight-line programs for which nondeterminism reduces the space required to evaluate the programs by more than any constant factor.”
Reviewer: R.Klette

68Q05 Models of computation (Turing machines, etc.) (MSC2010)
03D15 Complexity of computation (including implicit computational complexity)
68Q45 Formal languages and automata
Full Text: DOI
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