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arXiv · 1511.02056

Polynomial-time right-ideal morphisms and congruences

J. C. Birget
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Abstract

We continue with the functional approach to the P-versus-NP problem, begun in [2, 3]. We previously constructed a monoid RM^P that is non-regular iff NP is not P. We now construct homomorphic images of RM^P with interesting properties. In particular, the homomorphic image M^P_poly of RM^P is finitely generated and J^0-simple, and is non-regular iff NP is not P. The group of units of M^P_poly is the famous Richard Thompson group V.

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J. C. Birget. 2018-04-30. Polynomial-time right-ideal morphisms and congruences. https://arxiv.org/abs/1511.02056

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