加权树自动机的歧义层次

IF 0.6 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS International Journal of Foundations of Computer Science Pub Date : 2023-03-02 DOI:10.1142/s0129054123430013

Andreas Maletti, Teodora Nasz, Kevin Stier, Markus Ulbricht

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引用次数: 0

摘要

加权树自动机(Weighted tree automata, WTA)是将经典加权自动机扩展到树的非线性结构。不同程度歧义的WA的表达能力已被广泛研究。在热带(以及北极)半环上，无模糊、有限模糊和多项式模糊的WA在表达能力上严格增加。Mazowiecki和Riveros最近开发的泵送结果(STACS 2018)被提升到树木上，以便在热带(以及北极)半采油中实现同样严格的WTA等级。

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Ambiguity Hierarchies for Weighted Tree Automata

Weighted tree automata (WTA) extend classical weighted automata (WA) to the non-linear structure of trees. The expressive power of WA with varying degrees of ambiguity has been extensively studied. Unambiguous, finitely ambiguous, and polynomially ambiguous WA over the tropical (as well as the arctic) semiring strictly increase in expressive power. The recently developed pumping results of Mazowiecki and Riveros (STACS 2018) are lifted to trees in order to achieve the same strict hierarchy for WTA over the tropical (as well as the arctic) semiring.

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来源期刊

International Journal of Foundations of Computer Science 工程技术-计算机：理论方法

CiteScore

1.60

自引率

12.50%

发文量

审稿时长

3 months

期刊介绍： The International Journal of Foundations of Computer Science is a bimonthly journal that publishes articles which contribute new theoretical results in all areas of the foundations of computer science. The theoretical and mathematical aspects covered include: - Algebraic theory of computing and formal systems - Algorithm and system implementation issues - Approximation, probabilistic, and randomized algorithms - Automata and formal languages - Automated deduction - Combinatorics and graph theory - Complexity theory - Computational biology and bioinformatics - Cryptography - Database theory - Data structures - Design and analysis of algorithms - DNA computing - Foundations of computer security - Foundations of high-performance computing