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Symbolic Analysis of Maude Theories with Narval

Published online by Cambridge University Press:  20 September 2019

MARÍA ALPUENTE Open the ORCID record for MARÍA ALPUENTE [Opens in a new window] ,
SANTIAGO ESCOBAR ,
JULIA SAPIÑA Open the ORCID record for JULIA SAPIÑA [Opens in a new window]  and
DEMIS BALLIS
MARÍA ALPUENTE
Affiliation:
VRAIN (Valencian Research Institute for Artificial Intelligence), Universitat Politècnica de València (e-mail: alpuente@upv.es, sescobar@upv.es, jsapina@upv.es)
SANTIAGO ESCOBAR
Affiliation:
VRAIN (Valencian Research Institute for Artificial Intelligence), Universitat Politècnica de València (e-mail: alpuente@upv.es, sescobar@upv.es, jsapina@upv.es)
JULIA SAPIÑA
Affiliation:
VRAIN (Valencian Research Institute for Artificial Intelligence), Universitat Politècnica de València (e-mail: alpuente@upv.es, sescobar@upv.es, jsapina@upv.es)
DEMIS BALLIS
Affiliation:
DMIF, University of Udine (e-mail: demis.ballis@uniud.it)
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Abstract

Concurrent functional languages that are endowed with symbolic reasoning capabilities such as Maude offer a high-level, elegant, and efficient approach to programming and analyzing complex, highly nondeterministic software systems. Maude’s symbolic capabilities are based on equational unification and narrowing in rewrite theories, and provide Maude with advanced logic programming capabilities such as unification modulo user-definable equational theories and symbolic reachability analysis in rewrite theories. Intricate computing problems may be effectively and naturally solved in Maude thanks to the synergy of these recently developed symbolic capabilities and classical Maude features, such as: (i) rich type structures with sorts (types), subsorts, and overloading; (ii) equational rewriting modulo various combinations of axioms such as associativity, commutativity, and identity; and (iii) classical reachability analysis in rewrite theories. However, the combination of all of these features may hinder the understanding of Maude symbolic computations for non-experienced developers. The purpose of this article is to describe how programming and analysis of Maude rewrite theories can be made easier by providing a sophisticated graphical tool called Narval that supports the fine-grained inspection of Maude symbolic computations.

Keywords

Symbolic reachability analysisnarrowingequational unificationMauderewriting logic
Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 19 , Special Issue 5-6: 35th International Conference on Logic Programming , September 2019 , pp. 874 - 890
Copyright
© Cambridge University Press 2019 

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Footnotes

*

This work has been partially supported by the EU (FEDER) and the Spanish MCIU under grant RTI2018-094403-B-C32, by the Spanish Generalitat Valenciana under grants PROMETEO/2019/098 and APOSTD/2019/127, and by the US Air Force Office of Scientific Research under award number FA9550-17-1-0286.

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