Rewriting s to t by a rule l::=r. If l and r are related by a rewrite relation, so are s and t. A simplification ordering always relates l and s, and similarly r and t.
In theoretical computer science, in particular in automated reasoning about formal equations, reduction orderings are used to prevent endless loops. Rewrite orders, and, in turn, rewrite relations, are generalizations of this concept that have turned out to be useful in theoretical investigations.
about formal equations, reduction orderings are used to prevent endless loops. Rewrite orders, and, in turn, rewrite relations, are generalizations of...
Such methods may be achieved by rewriting systems (also known as rewrite systems, rewrite engines, or reduction systems). In their most basic form, they...
In computer science, graph transformation, or graph rewriting, concerns the technique of creating a new graph out of an original graph algorithmically...
to rewrite the three degrees for the lodges which they administered. On 20 January 1782, Knigge tabulated his new system of grades for the order. These...
lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences...
Alphabetical order is a system whereby character strings are placed in order based on the position of the characters in the conventional ordering of an alphabet...
Query rewriting is a typically automatic transformation that takes a set of database tables, views, and/or queries, usually indices, often gathered data...
The Order of Assassins or simply the Assassins (Arabic: الحَشّاشِین, romanized: Al-Ḥashshāshīyīn; Persian: حشاشين, romanized: Ḥaššāšīn) were a Nizari...
through (rewrite rules). Maude modules (rewrite theories) consist of a term-language plus sets of equations and rewrite-rules. Terms in a rewrite theory...
The Third Order of Saint Francis is a third order in the Franciscan tradition of Christianity, founded by the medieval Italian Catholic friar Francis...
Star Wars: The New Jedi Order (or New Jedi Order or NJO) is a series of 19 science fiction novels, published from 1999 to 2003, set in the Star Wars Expanded...
in cyclic order, the cyclic orders are equivalent under the rewriting rules that allow one to remove or add adjacent y and y−1. A cyclic order on a set...
whenever t is a substitution instance of s. The union of any well-founded rewriteorder R with (<) is well-founded, where (<) denotes the irreflexive kernel...
In rewriting, a reduction strategy or rewriting strategy is a relation specifying a rewrite for each object or term, compatible with a given reduction...
{\displaystyle \left[A,B\right]_{-}\equiv AB-BA} denotes the commutator. We may rewrite the last one as: b ^ b ^ † = b ^ † b ^ + 1. {\displaystyle {\hat {b}}\...
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