Alarcón, Beatriz; Gutiérrez Gil, Raúl; Lucas Alba, Salvador(Springer-Verlag, 2006)
[EN] Termination is one of the most interesting problems when dealing with context-sensitive rewrite systems. Although there is a good number of techniques for proving termination of context-sensitive rewriting (CSR), the ...
Alarcón, Beatriz; Gutiérrez Gil, Raúl; Lucas Alba, Salvador(Elsevier, 2010-08)
[EN] Termination is one of the most interesting problems when dealing with context-sensitive rewrite systems. Although a good number of techniques for proving termination of context-sensitive rewriting (CSR) have been ...
[EN] Context-sensitive rewriting is a restriction of rewriting where reduction steps are allowed on specific arguments mu(f) subset of {1, ..., k} of k-ary function symbols f only. Terms which cannot be further rewritten ...
Gutiérrez Gil, Raúl; Lucas Alba, Salvador(Universitat Politècnica de València, 2015-05-26)
Context-sensitive rewriting (CSR) is a variant of rewriting where only selected arguments of function symbols can be rewritten. Consequently, the subterm positions of a term are classified as either active, i.e., positions ...
Alarcón, Beatriz; Gutiérrez Gil, Raúl; Lucas Alba, Salvador(Elsevier, 2007-07-16)
[EN] The dependency pairs method is one of the most powerful technique for proving termination of rewriting and it is currently central in most automatic termination provers. Recently, it has been adapted to be used in ...
Alarcón Jiménez, Beatriz(Universitat Politècnica de València, 2011-11-28)
Innermost context-sensitive rewriting (CSR) has been proved useful for modeling the computational behavior of programs of algebraic languages like Maude. We adapt the Dependency Pairs Framework to innermost CSR since, up ...
Lucas Alba, Salvador; Meseguer, José(Springer Verlag (Germany), 2014)
Reasoning about termination of declarative programs, which are described by means of a computational logic, requires the definition of appropriate abstractions as semantic models of the logic, and also handling the conditional ...
Gutiérrez Gil, Raúl; Lucas Alba, Salvador(Springer Nature, 2020-07-06)
[EN] We report on the new version of mu-term, a tool for proving termination properties of variants of rewrite systems, including conditional, context-sensitive, equational, and order-sorted rewrite systems. We follow a ...
[EN] Context-sensitive rewriting (CSR) is a restriction of rewriting which forbids reductions on selected arguments of functions. Proving termination of CSR is an interesting problem with several applications in the fields ...
Relative termination, a generalized notion of termination, has been used in a number of different contexts like proving the confluence of rewrite systems or analyzing the termination of narrowing. In this paper, we introduce ...
[EN] A term rewrite system is terminating when no infinite reduction sequences are
possible. Relative termination generalizes termination by permitting infinite reductions as
long as some distinguished rules are not applied ...
Polynomial constraint solving plays a prominent role in several areas of hardware and software analysis and verification, e.g.; termination proving, program invariant generation and hybrid system verification, to name a ...
Navarro Marset, Rafael Andrés(Universitat Politècnica de València, 2011-11-28)
A termination problem can be transformed into a set of polynomial constraints. Up to now, several approaches have been studied to deal with these constraints as constraint solving problems. In this thesis, we study in depth ...
Arnal Julián, Salvador(Universitat Politècnica de València, 2014-11-18)
[EN] This thesis presents the implementation of a framework to work with term rewriting
systems. Term rewriting systems provide a complete computational model which is very
close to functional programming. Its formulation ...
[EN] Termination of programs, i.e., the absence of infinite computations, ensures the existence of normal forms for all initial expressions, thus providing an essential ingredient for the definition of a normalization ...
Iborra López, José(Universitat Politècnica de València, 2011-11-28)
In this work, we generalize the Dependency Pairs approach for automated proofs of termination to prove the termination of narrowing.We identify the phenomenon of echoing in infinite narrowing derivations and demonstrate ...
Alarcón Jiménez, Beatriz(Universitat Politècnica de València, 2011-06-10)
Maude es un lenguaje de programación declarativo basado en la lógica de reescritura
que incorpora muchas características que lo hacen muy potente. Sin
embargo, a la hora de probar ciertas propiedades computacionales esto ...
Gutiérrez Gil, Raúl; Lucas Alba, Salvador; Urbain, Xavier(Springer-Verlag, 2008)
[EN] Recently, the dependency pairs (DP) approach has been generalized to context-sensitive rewriting (CSR). Although the context-sensitive dependency pairs (CS-DP) approach provides a very good basis for proving termination ...