Confluence reduction and partial order reduction by means of ample sets are two different techniques for state space reduction in both traditional and probabilistic model checking. This presentation provides an extensive comparison between these two methods, answering the long-standing question of how they relate. We show that, while both preserve branching time properties, confluence reduction...

This paper studies confluence properties of extensional and non-extensional λ-calculi with explicit substitutions, where extensionality is interpreted by η-expansion. For that, we propose a general scheme for explicit substitutions which describes those abstract properties that are sufficient to guarantee confluence. Our general scheme makes it possible to treat at the same time many well-known...

The notion of τ-confluence provides a form of partial order reduction of Labelled Transition Systems (Ltss), by allowing to identify the τ-transitions whose execution does not alter the observable behaviour of the system. Several forms of τ-confluence adequate with branching bisimulation were studied in the literature, ranging from strong to weak ones according to the length of τ-transition seq...

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.

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Confluence in abstract parallel category systems is established for net class-rewriting in iterative closed multilevel quotient graph structures with uncountable node arities by multi-dimensional transducer operations in topological metrics defined by alphabetically abstracting net block homomorphism. We obtain minimum prerequisites for the comprehensive connector pairs in a multitude dimension...

Tiger Ditch (formerly Highway 812 Tributary). At the North Fork Canoe Creek confluence ................. +379 +382 City of Henderson, Unincorporated Areas of Henderson County. Approximately 150 feet downstream of Zion Road ...... None +391 Tiger Ditch Tributary 1 .......... At the Tiger Ditch (formerly Highway 812 Tributary) confluence. None +385 City of Henderson, Unincorporated Areas of Hende...

The issue of confluence is of major importance for the successful application of attributed graph transformation, such as automated translation of UML models into semantic domains. Whereas termination is undecidable in general and must be established by carefully designing the rules, local confluence can be shown for term rewriting and graph rewriting using the concept of critical pairs. In thi...