无状态有序rrww自动机的可逆性

IF 0.4 4区计算机科学 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Acta Informatica Pub Date : 2021-07-19 DOI:10.1007/s00236-020-00389-0

Friedrich Otto, Matthias Wendlandt

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引用次数: 0

摘要

有两种类型的无状态确定性有序重启自动机都是正则语言类的特征：stl-det-ORWW自动机和stl-det/ORWW自动机。对于前者，引入并研究了可逆性的概念，该概念在很大程度上与重启自动机的工作方式相适应。在这里，我们提出了另一个更经典的stl-det-ORWW自动机可逆性的概念，并且我们证明了每个正则语言都被这样一个可逆的stl-det-ORWW自动化所接受。我们研究了这些自动机的描述复杂性，表明它们比不确定的有限状态接受者更简洁。我们还研究了一元输入字母表的情况。

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Reversibility for stateless ordered RRWW-automata

There are two types of stateless deterministic ordered restarting automata that both characterize the class of regular languages: the stl-det-ORWW-automaton and the stl-det-ORRWW-automaton. For the former a notion of reversibility has been introduced and studied that is very much tuned to the way in which restarting automata work. Here we suggest another, more classical, notion of reversibility for stl-det-ORRWW-automata, and we show that each regular language is accepted by such a reversible stl-det-ORRWW-automaton. We study the descriptional complexity of these automata, showing that they are exponentially more succinct than nondeterministic finite-state acceptors. We also look at the case of unary input alphabets.

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来源期刊

Acta Informatica 工程技术-计算机：信息系统

CiteScore

2.40

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Acta Informatica provides international dissemination of articles on formal methods for the design and analysis of programs, computing systems and information structures, as well as related fields of Theoretical Computer Science such as Automata Theory, Logic in Computer Science, and Algorithmics. Topics of interest include: • semantics of programming languages • models and modeling languages for concurrent, distributed, reactive and mobile systems • models and modeling languages for timed, hybrid and probabilistic systems • specification, program analysis and verification • model checking and theorem proving • modal, temporal, first- and higher-order logics, and their variants • constraint logic, SAT/SMT-solving techniques • theoretical aspects of databases, semi-structured data and finite model theory • theoretical aspects of artificial intelligence, knowledge representation, description logic • automata theory, formal languages, term and graph rewriting • game-based models, synthesis • type theory, typed calculi • algebraic, coalgebraic and categorical methods • formal aspects of performance, dependability and reliability analysis • foundations of information and network security • parallel, distributed and randomized algorithms • design and analysis of algorithms • foundations of network and communication protocols.