Rewriting systems

mathematical expression that may form a separable part of an equation, a series, or another expression; used in in mathematical logic, universal algebra, and rewriting systems

algorithmic process of solving equations between symbolic expressions

In mathematics, linguistics, 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.

particular generating subset of an ideal in a polynomial ring

string rewriting system that uses grammar-like rules to operate on strings of symbols

operation on binary relations

theorem that, when applying reduction rules to terms in some variants of the lambda calculus, the ordering in which the reductions are chosen does not make a difference to the eventual result

property of abstract rewriting systems

operation on binary relations

rewriting system over strings from an alphabet

formal system for transcribing expressions into equivalent terms

lemma

an object that cannot be rewritten further

algorithm