We prove modularity of constructive confluence for term rewriting systems using a novel decomposition of terms into tall aliens and bases. The proof is modular itself in that it factors through the decreasing diagrams theorem for abstract rewriting systems.

Abstract We report on the 2019 edition of Confluence Competition, a competition software tools that aim to prove or disprove confluence and related (undecidable) properties rewrite systems automatically.

This article presents a methodological proposal for formulating Human Security Index ( HSI ), including information from institutional sources and the inhabitants' perception of security. The developed methodology uses quantitative methods to evaluate HS (Human Security) in small municipalities with large rural areas affected by confluence different social economic problems. Given security cond...

OBJECTIVE Complex vertebral confluence aneurysms remain clinically challenging despite the rapid technological advances in endovascular technology. Therefore, animal confluence aneurysm models are urgently needed for the preclinical development of related medical devices and training clinicians. This study aimed to establish canine confluence aneurysm model and evaluate hemodynamics in this mod...

The rule labeling heuristic aims to establish confluence of (left-)linear term rewrite systems via decreasing diagrams. We present a formalization of a confluence criterion based on the interplay of relative termination and the rule labeling in the theorem prover Isabelle. Moreover, we report on the integration of this result into the certifier CeTA, facilitating the checking of confluence cert...

In this paper we extend the concept of ∆-confluence to ∆k-confluence by allowing more generalized junctions, called ∆k-junctions. We present an algorithm for recognizing graphs that are ∆k-confluent. We then generalize ∆k-confluence to Ok-confluence by allowing non-intersecting chords within a junction, resulting in Ok-junctions. We present an algorithm for recognizing graphs that are Ok-conflu...