An encoding of the $$\lambda $$ -calculus in the String MultiSet Rewriting calculus

IF 0.4 4区计算机科学 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS Acta Informatica Pub Date : 2024-03-13 DOI:10.1007/s00236-024-00456-w

引用次数: 0

Abstract

In this paper, we present an encoding of the $\lambda $ -calculus in a multiset rewriting system and provide a few applications of the construction. For this purpose, we choose the calculus named String MultiSet Rewriting, which was introduced in Barbuti et al. (Electron Notes Theor Comput Sci 194:19–34, 2008) by Barbuti et al. With the help of our encoding, we give alternative proofs for the standardization and the finiteness of developments theorems in the $\lambda $ -calculus.

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字符串多集重写微积分中 $$\lambda $$ 微积分的编码

摘要在本文中，我们提出了在（\lambda \）多集重写系统中对（\lambda \）微积分的编码，并提供了该构造的一些应用。为此，我们选择了名为 "字符串多集重写 "的微积分，它是 Barbuti 等人在《Electron Notes Theor Comput Sci 194:19-34, 2008》一书中介绍的。在我们的编码的帮助下，我们给出了 $\lambda $ - 微积分中标准化和有限性发展定理的替代证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.