Proving And Disproving Confluence Of Context-Sensitive Rewriting

Di: Ava

For proving termination of context-sensitive re-writing, there exist a few transformation methods, that reduce the problem to termination of a transformed ordinary term rewriting system (TRS). These transformations, however, have some serious drawbacks. In particular, most of them do not seem to support a modular analysis of the ‪Universidad Politécnica de Madrid‬ – ‪‪Cited by 606‬‬ – ‪programming languages‬ – ‪verification‬

We report on the 2019 edition of the Confluence Competition, a competition of software tools that aim to prove or disprove confluence and related (undecidable) properties of rewrite systems Abstract. This article describes the Confluence Framework, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of Generalized Term Rewriting Systems, where (i) only selected arguments of function symbols FSCD 2024: 32:1-32:18 2023 [i6] Raúl Gutiérrez, Salvador Lucas, Miguel Vítores: Proving Confluence in the Confluence Framework with CONFident. CoRR abs/2306.16330 (2023) 2022 [j32] Salvador Lucas, Miguel Vítores, Raúl Gutiérrez: Proving and disproving confluence of context-sensitive rewriting. J. Log. Algebraic Methods Program. 126:

(PDF) Development of an intelligent, context sensitive and ...

This paper describes CONFident, a tool which is able to automatically prove and disprove confluence of variants of rewrite systems: term rewriting systems, conditional term rewriting systems (using join, oriented, or semi-equational semantics), and context-sensitive term rewriting systems. We introduce a new proof framework to generate proof trees by combining This article describes the *Confluence Framework*, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of *Generalized Term Rewriting Systems*, where (i) only selected arguments of function symbols Context-sensitive rewriting is a restriction of term rewriting where reductions are allowed on specific arguments of function symbols only, and then in particular positions of terms. Confluence is

Proving Confluence in the Confluence Framework with CONFident

Any Term Rewriting System (TRS) can be given a context-sensitive rewrite relation. In this paper, we formulate conditions to guarantee the confluence of this relation. The whole approach is developed in the (more general) framework of context-sensitive rewriting which thus turns out to be useful also for ordinary (context-free) rewriting.

Abstract:This article describes the confluence framework, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of Generalized Term Rewriting Systems, where (i) only selected arguments of function symbols We also show that the treatment of joinability of critical pairs using theorem proving and solving feasibility problems is useful to automatically prove and disprove confluence of context-sensitive rewriting.

Confluence of Conditional Rewrite Systems.
Generalizing Newman’s Lemma for Left-Linear Rewrite Systems
arXiv:2306.16330v1 [cs.LO] 28 Jun 2023

This article describes the confluence framework, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of Generalized Term Rewriting Systems, where (i) only selected arguments of function symbols Proving and disproving confluence of context-sensitive rewriting Article Full-text available Jan 2022 This article describes the confluence framework, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of Generalized Term Rewriting Systems, where (i) only selected arguments of function symbols

Confluence of Conditional Rewriting Modulo

Proving and disproving confluence of context-sensitive rewriting S. LucasM. VítoresRaúl Gutiérrez Computer Science, Mathematics Visitas al fichero Visualizaciones LucasVitores-VicenteGutierrez – Proving and disproving confluence of context-sensitive rewriting.pdf 8 3

Download Citation | Advanced Topics in Term Rewriting | Unlike current survey articles and textbooks, here the so-called confluence and termination hierarchies play a key role. Throughout, the

Figure 1 from Context-sensitive Rewriting
Orthogonality of Generalized Term Rewriting Systems
Figure 2 from Context-sensitive Rewriting
Layer Systems for Proving Confluence
Automatically Proving and Disproving Feasibility Conditions

Context-sensitive rewriting is a restriction of term rewriting where reductions are allowed on specific arguments of function symbols only, and then in particular positions of terms. Confluence is an abstract property of reduction relations guaranteeing that two diverging reduction sequences can always be joined into a common reduct.

This article describes the *Confluence Framework*, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of *Generalized Term Rewriting Systems*, where (i) only selected arguments of function symbols can be Context-sensitive rewriting is a restriction of term rewriting where reductions are allowed on specific arguments of function symbols only, and then in particular positions of terms. Confluence is Abstract. This article describes the Confluence Framework, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of Generalized Term Rewriting Systems, where (i) only selected arguments of function symbols

Abstract:This article describes the confluence framework, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of Generalized Term Rewriting Systems, where (i) only selected arguments of function symbols Abstract This article describes the , a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of Generalized Term Rewriting Systems, where (i) only selected arguments of function symbols can be rewritten and

Confluence Framework: Proving Confluence with CONFident

Proving and disproving confluence of context-sensitive rewriting S. LucasM. VítoresRaúl Gutiérrez Computer Science, Mathematics Weak V-orthogonality checking is implemented in the confluence tool CONFident, to improve its ability to deal with context-sensitive and conditional term rewriting systems.

Abstract. This article describes the Confluence Framework, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically prove and disprove confluence of Generalized Term Rewriting Systems, where (i) only selected arguments of function symbols

We investigate confluence of rewriting with Equational Generalized Term Rewriting Systems R, consisting of Horn clauses, some of them defining conditional equations s = t ⇐ c and rewriting rules ? → r ⇐ c. In both cases, c is a sequence of atoms, possibly defined by using additional Horn clauses.

QQCWB

GV