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El autor Raúl Gutiérrez ha publicado 4 artículo(s):

1 - A tool for the automatic generation of logical models of order-sorted first-order theories

Semantics-based program analysis guarantees that the obtained knowledge about focused program features matches the real behaviour of the program. Automation of the analyses requires abstraction mechanisms to approximate the (usually undecidable) program semantics and targeted properties. In this setting, the logical notions of interpretation of a logic language and model of a theory provide an appropriate framework for abstraction in the sense that the corresponding analyses will be sound and, when relying on some decidable theory, amenable for automation. We describe a new tool, AGES, which is able to automatically generate models for order-sorted first-order theories. Such theories are very helpful in the semantic description of most programming languages. The current version of the tool systematically exploits (and relies on) the recently introduced convex domains which are well-suited for representing domains for different sorts; we use them to interpret the ranked symbols of order-sorted signatures and also the (also ranked) predicate symbols in the language by means of appropriately adapted convex matrix interpretations. The system is available as a web application and can be used to give support to users interested in checking properties of software modules provided
that they are able to describe the property as an order-sorted first-order theory whose satisfiability guarantees the property. Examples of such properties are partial correctness, program termination, etc. The paper illustrates the use of the tool by means of simple case studies.

Autores: Raúl Gutiérrez  / Salvador Lucas  / Patricio Reinoso / 
Palabras Clave: Abstraction - Logical models - Order-sorted first-order logic - Program analysis - termination

2 - The 2D Dependency Pair Framework for conditional rewrite systems (Trabajo ya publicado)

Different termination properties of conditional term rewriting systems have been recently described emphasizing the bidimensional nature of the termination behavior of conditional rewriting. The absence of infinite sequences of rewriting steps (termination in the usual sense), provides the horizontal dimension. The absence of infinitely many attempts to launch the subsidiary processes that are required to check the rule’s condition and perform a single rewriting step has been called V-termination and provides the vertical dimension. We have characterized these properties by means of appropriate notions of dependency pairs and dependency chains. In this paper we introduce a 2D Dependency Pair Framework for automatically proving and disproving all these termination properties. Our implementation of the framework as part of the termination tool MU-TERM and the benchmarks obtained so far suggest that the 2D Dependency Pair Framework is currently the most powerful technique for proving operational termination of conditional term rewriting systems.

Autores: Salvador Lucas / José Meseguer / Raúl Gutiérrez / 
Palabras Clave: Conditional term rewriting - dependency pairs - Operational Termination - Program analysis

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4 - infChecker: A Tool for Checking Infeasibility

Given a CTRS R and terms s and t, we say that the reachability condition s = t isfeasible if there is a substitution sigma instantiating the variables in s and t such that the reachability test sigma(s) ->*R sigma(t) succeeds; otherwise, we call it infeasible. Given a sequence of reachability conditions (s1 = t1),…,(sn = tn), where n > 0, we say that the sequence is R-feasible if there is a substitution such that all the reachability tests sigma(si) ->*R sigma(ti) are satised.In [5, 6] we presented an approach to deal with infeasibility using a semantic criterion. In this paper we present infChecker, a new tool for checking infeasibility conditions of CTRSs based on this approach. We succesfully participated in the 2019 Confuence Competition in the INF (infeasibility) category, being the most powerful tool for checking both infeasibility and feasibility.

Autores: Raúl Gutiérrez / Salvador Lucas / 
Palabras Clave: Conditional term rewriting - First-Order Logic - infeasibility