6533b833fe1ef96bd129ca17

RESEARCH PRODUCT

On positive P

Iain A. StewartC. LautemannT. Schwentick

subject

Discrete mathematicsCombinatoricsClass (set theory)Monotone polygonBoolean circuitComplexity classVariety (universal algebra)Boolean functionTime complexitySubclassMathematics

description

Continuing a line of research opened up by Grigni and Sipser (1992) and further pursued by Stewart (1994), we show that a wide variety of equivalent characterizations of P still remain equivalent when restricted to be positive. All these restrictions thus define the same class posP, a proper subclass of monP, the class of monotone problems in P. We also exhibit complete problems for posP under very weak reductions.

https://doi.org/10.1109/ccc.1996.507678