An analysis of Bennett's pebble game

Details An analysis of Bennett's pebble game An analysis of Bennett's pebble game

1995-08-08

arxiv.org/abs/math/9508218v1

Mathematics

Combinatorics

15 pages

Scientific paper

Bennett's pebble game was introduced to obtain better time/space tradeoffs in the simulation of standard Turing machines by reversible ones. So far only upper bounds for the tradeoff based on the pebble game have been published. Here we give a recursion for the time optimal solution of the pebble game given a space bound. We analyze the recursion to obtain an explicit asymptotic expression for the best time-space product.

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