图灵机与原子,约束满足问题,和描述的复杂性

Bartek Klin, S. Lasota, Joanna Ochremiak, Szymon Toruńczyk
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引用次数: 14

摘要

我们研究了原子集合的确定性可计算性。我们描述那些由原子图灵机决定的字母。为此,将确定问题表示为约束满足问题,并从CSP理论的深层结果中得到表征。作为描述复杂性理论的一个应用,在包括cai - f rer- immerman图在内的大量关系结构中,我们精确地描述了逻辑IFP+C捕获阶不变多项式时间计算的那些子类。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Turing machines with atoms, constraint satisfaction problems, and descriptive complexity
We study deterministic computability over sets with atoms. We characterize those alphabets for which Turing machines with atoms determinize. To this end, the determinization problem is expressed as a Constraint Satisfaction Problem, and a characterization is obtained from deep results in CSP theory. As an application to Descriptive Complexity Theory, within a substantial class of relational structures including Cai-Fürer-Immerman graphs, we precisely characterize those subclasses where the logic IFP+C captures order-invariant polynomial time computation.
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