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Abstract rewriting system

In mathematical logic and theoretical computer science, an abstract rewriting system (also (abstract) reduction system or abstract rewrite system; abbreviated ARS) is a formalism that captures the quintessential notion and properties of rewriting systems. In its simplest form, an ARS is simply a set (of "objects") together with a binary relation…

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Definition

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The Church–Rosser property and notions of confluence

Termination and convergence

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Abstract rewriting system

Nodes36
Edges35
Triples17
Avg. degree1.94
Density0.055556
Components1

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Abstract rewriting system

Top relations

related to Termination and convergence · 9
Abstract rewriting system → An, ARS, But, In, Newman's, Noetherian, The, Theorem, This
related to Definition · 7
Abstract rewriting system → An, An ARS, ARS, Because, More, The, This
see also · 1
Abstract rewriting system → Word

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Important terminology

displaystyle rightarrow ars rewriting normal relation stackrel system church rosser property form systems confluent reduction abstract confluence object one objects

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Abstract rewriting systemrelated to DefinitionAn0.60section
Abstract rewriting systemrelated to DefinitionARS0.60section
Abstract rewriting systemrelated to DefinitionMore0.60section
Abstract rewriting systemrelated to DefinitionThe0.60section
Abstract rewriting systemrelated to DefinitionBecause0.60section
Abstract rewriting systemrelated to DefinitionAn ARS0.60section
Abstract rewriting systemrelated to DefinitionThis0.60section
Abstract rewriting systemrelated to Termination and convergenceAn0.60section
Abstract rewriting systemrelated to Termination and convergenceThis0.60section
Abstract rewriting systemrelated to Termination and convergenceNoetherian0.60section
Abstract rewriting systemrelated to Termination and convergenceIn0.60section
Abstract rewriting systemrelated to Termination and convergenceARS0.60section

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