Circuit Evaluation for Finite Semirings

被引：0

作者：

Ganardi, Moses ^{[1
]}

Hucke, Danny ^{[1
]}

Koenig, Daniel ^{[1
]}

Lohrey, Markus ^{[1
]}

机构：

[1] Univ Siegen, Siegen, Germany

来源：

34TH SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE (STACS 2017) | 2017年 / 66卷

关键词：

circuit value problem; finite semirings; circuit complexity; PARALLEL ALGORITHM; MEMBERSHIP PROBLEMS; COMPLEXITY; SETS;

D O I：

10.4230/LIPIcs.STACS.2017.35

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The circuit evaluation problem for finite semirings is considered, where semirings are not assumed to have an additive or multiplicative identity. The following dichotomy is shown: If a finite semiring R (i) has a solvable multiplicative semigroup and (ii) does not contain a subsemiring with an additive identity 0 and a multiplicative identity 1 does not satisfy 0, then its circuit evaluation problem is in DET subset of NC2. In all other cases, the circuit evaluation problem is P-complete.

引用

页数：14

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