Programming and symbolic computation in Maude

Francisco Durán, Steven Eker, Santiago Escobar, Narciso Martí-Oliet, José Meseguer, Rubén Rubio, Carolyn Talcott

Research output: Contribution to journalArticle

Abstract

Rewriting logic is both a flexible semantic framework within which widely different concurrent systems can be naturally specified and a logical framework in which widely different logics can be specified. Maude programs are exactly rewrite theories. Maude has also a formal environment of verification tools. Symbolic computation is a powerful technique for reasoning about the correctness of concurrent systems and for increasing the power of formal tools. We present several new symbolic features of Maude that enhance formal reasoning about Maude programs and the effectiveness of formal tools. They include: (i) very general unification modulo user-definable equational theories, and (ii) symbolic reachability analysis of concurrent systems using narrowing. The paper does not focus just on symbolic features: it also describes several other new Maude features, including: (iii) Maude's strategy language for controlling rewriting, and (iv) external objects that allow flexible interaction of Maude object-based concurrent systems with the external world. In particular, meta-interpreters are external objects encapsulating Maude interpreters that can interact with many other objects. To make the paper self-contained and give a reasonably complete language overview, we also review the basic Maude features for equational rewriting and rewriting with rules, Maude programming of concurrent object systems, and reflection. Furthermore, we include many examples illustrating all the Maude notions and features described in the paper.

Original languageEnglish (US)
Article number100497
JournalJournal of Logical and Algebraic Methods in Programming
Volume110
DOIs
StatePublished - Jan 2020

Keywords

  • External objects
  • Maude and rewriting logic
  • Meta-interpreters
  • Strategies
  • Symbolic model checking
  • Unification and narrowing

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Software
  • Logic
  • Computational Theory and Mathematics

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    Durán, F., Eker, S., Escobar, S., Martí-Oliet, N., Meseguer, J., Rubio, R., & Talcott, C. (2020). Programming and symbolic computation in Maude. Journal of Logical and Algebraic Methods in Programming, 110, [100497]. https://doi.org/10.1016/j.jlamp.2019.100497