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Information and Computation
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The word and generator problems for lattices

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Abstract

We present polynomial-time algorithms for the uniform word problem and for the generator problem for lattices. The algorithms are derived from novel, prooftheoretic approaches. We prove that both problems are log-space complete for P, but can be solved in deterministic logarithmic space in the case of free lattices. We also show that the more general problem of testing whether a given open sentence is true in all lattices is co-NP complete. © 1988.

Date

01 Jan 1988

Publication

Information and Computation

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