Reversible parallel communicating finite automata systems

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/s00236-021-00396-9

Henning Bordihn, György Vaszil

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引用次数: 1

Abstract

We study the concept of reversibility in connection with parallel communicating systems of finite automata (PCFA in short). We define the notion of reversibility in the case of PCFA (also covering the non-deterministic case) and discuss the relationship of the reversibility of the systems and the reversibility of its components. We show that a system can be reversible with non-reversible components, and the other way around, the reversibility of the components does not necessarily imply the reversibility of the system as a whole. We also investigate the computational power of deterministic centralized reversible PCFA. We show that these very simple types of PCFA (returning or non-returning) can recognize regular languages which cannot be accepted by reversible (deterministic) finite automata, and that they can even accept languages that are not context-free. We also separate the deterministic and non-deterministic variants in the case of systems with non-returning communication. We show that there are languages accepted by non-deterministic centralized PCFA, which cannot be recognized by any deterministic variant of the same type.

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可逆并行通信有限自动机系统

研究了有限自动机并行通信系统的可逆性概念。我们定义了PCFA情况下的可逆性概念(也包括不确定性情况)，并讨论了系统的可逆性及其组成部分的可逆性之间的关系。我们证明了一个系统可以由不可逆的组分可逆，反过来，这些组分的可逆性并不一定意味着整个系统的可逆性。我们还研究了确定性集中式可逆PCFA的计算能力。我们证明了这些非常简单的PCFA类型(返回或不返回)可以识别可逆(确定性)有限自动机无法接受的常规语言，它们甚至可以接受非上下文无关的语言。在不返回通信的情况下，我们还分离了确定性和非确定性变量。我们发现，有些语言被非确定性集中式PCFA所接受，而这些语言不能被任何同类型的确定性变体所识别。

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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.