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IANDC
1998

Positive Versions of Polynomial Time

13 years 11 months ago
Positive Versions of Polynomial Time
We show that restricting a number of characterizations of the complexity class P to be positive (in natural ways) results in the same class of (monotone) problems which we denote by posP. By a well-known result of Razborov, posP is a proper subclass of the class of monotone problems in P. We exhibit complete problems for posP via weak logical reductions, as we do for other logically defined classes of problems. Our work is a continuation of research undertaken by Grigni and Sipser, and subsequently Stewart; indeed, we introduce the notion of a positive deterministic Turing machine and consequently solve a problem posed by Grigni and Sipser.
Clemens Lautemann, Thomas Schwentick, Iain A. Stew
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 1998
Where IANDC
Authors Clemens Lautemann, Thomas Schwentick, Iain A. Stewart
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