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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorJ-B Vienney
   • CommentTimeNov 24th 2022
   • PermaLink
   Author: J-B Vienney
   Format: MarkdownItexCreated this entry <a href="https://ncatlab.org/nlab/revision/abstract+rewriting+system/1">v1</a>, <a href="https://ncatlab.org/nlab/show/abstract+rewriting+system">current</a>

   Created this entry

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeNov 25th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this comment after the definition: *** So this is a [[concept with an attitude]]: While an abstract re-writing system is just a [[relation]], calling this relation an abstract rewriting system indicates that one is interested in studying the behaviour of chains of related elements $x \to x_1 \to x_2 \to \cdots$ (thought of as successive stages of rewriting $x$), for instance to see if they are [[confluent category|confluent]]. *** <a href="https://ncatlab.org/nlab/revision/diff/abstract+rewriting+system/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/abstract+rewriting+system/2">v2</a>, <a href="https://ncatlab.org/nlab/show/abstract+rewriting+system">current</a>

   added this comment after the definition:

   ---

   So this is a concept with an attitude: While an abstract re-writing system is just a relation, calling this relation an abstract rewriting system indicates that one is interested in studying the behaviour of chains of related elements (thought of as successive stages of rewriting ), for instance to see if they are confluent.

   ---

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorbeanjelle
   • CommentTimeAug 30th 2024
   • (edited Aug 30th 2024 by Urs)
   • PermaLink
   Author: beanjelle
   Format: MarkdownItex[spam message deleted by administrator]

   [spam message deleted by administrator]

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeAug 30th 2024
   • (edited Aug 30th 2024)
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   Author: zskoda
   Format: MarkdownItex3 seems to be a commercial SPAM.

   3 seems to be a commercial SPAM.