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What (who) is redex - definition

REPLACING SUBTERM IN A FORMULA WITH ANOTHER TERM

Term rewriting; Term rewriting system; Term-rewriting; Rewrite system; Rewrite rule; Phase-structure rule; Rewriting system; Term Rewriting System; Reducible expression; Redex; Rewrite rules; Transformational rule; Rewriting logic; Term rewrite system; Reduction system; Substitution system; Reduction systems; Termination (term rewriting); Termination (rewriting); Trace rewriting system; Tree rewriting; Rewriter

$'''Pic.2:''' Rule lhs term <math>x*(y*z)</math> matching in term <math>\frac{a*((a+1)*(a+2))}{1*(2*3)}</math>$
$'''Pic.1:''' Schematic triangle diagram of application of a rewrite rule <math>l \longrightarrow r</math> at position <math>p</math> in a term, with matching substitution <math>\sigma</math>$

redex

Reducible Expression. An expression matching the left hand side of a reduction rule or definition.

1955 RedeX Trophy

MOTOR CAR RACE

The 3rd RedeX Trophy was a motor race, run to Formula One rules, held on 13 August 1955 at Snetterton Circuit, Norfolk. The race was run over 25 laps, and was won by American driver Harry Schell in a Vanwall.

https://en.wikipedia.org/wiki/1955_RedeX_Trophy

1951 Redex 100

AUSTRALIAN MOTOR RACE

The 1951 Redex 100 was a motor race staged at the Mount Panorama Circuit, Bathurst, New South Wales, AustraliaJohn Medley, Bathurst: Cradle of Australian Motor Sport, 1997, page 119 on 26 March 1951.Souvenir Programme, Car Racing - Bathurst, Easter Monday, March 26th 1951

https://en.wikipedia.org/wiki/1951_Redex_100

Wikipedia

Rewriting

In mathematics, computer science, and logic, rewriting covers a wide range of methods of replacing subterms of a formula with other terms. Such methods may be achieved by rewriting systems (also known as rewrite systems, rewrite engines, or reduction systems). In their most basic form, they consist of a set of objects, plus relations on how to transform those objects.

Rewriting can be non-deterministic. One rule to rewrite a term could be applied in many different ways to that term, or more than one rule could be applicable. Rewriting systems then do not provide an algorithm for changing one term to another, but a set of possible rule applications. When combined with an appropriate algorithm, however, rewrite systems can be viewed as computer programs, and several theorem provers and declarative programming languages are based on term rewriting.

https://en.wikipedia.org/wiki/Rewriting