In abstract rewriting, an object is in normal form if it cannot be rewritten any further, i.e. it is irreducible. Depending on the rewriting system, an...

(abstract rewriting), an element of a rewrite system which cannot be further rewritten in logic: Normal form (natural deduction) Algebraic normal form Canonical...

properties in the most abstract setting of an abstract rewriting system. The usual rules of elementary arithmetic form an abstract rewriting system. For example...

and theoretical computer science, an abstract rewriting system (also (abstract) reduction system or abstract rewrite system; abbreviated ARS) is a formalism...

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...

a normal form. A lambda term is in beta normal form if no beta reduction is possible; lambda calculus is a particular case of an abstract rewriting system...

In computer science, Backus–Naur form (BNF; /ˌbækəs ˈnaʊər/; Backus normal form) is a notation used to describe the syntax of programming languages or...

The Abstract Rewriting Machine (ARM) is a virtual machine which implements term rewriting for minimal term rewriting systems. Minimal term rewriting systems...

Normalizing (abstract rewriting), an abstract rewriting system in which every object has at least one normal form Normalization property (abstract rewriting), a...

language theory, a noncontracting grammar is in Kuroda normal form if all production rules are of the form: AB → CD or A → BC or A → B or A → a where A, B,...

a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of...

calculus, equivalence is decidable by comparison of normal forms. The word problem for an abstract rewriting system (ARS) is quite succinct: given objects x...

which both b and c can be reduced. Viewing the lambda calculus as an abstract rewriting system, the Church–Rosser theorem states that the reduction rules...

normal form; the latter is impossible in a terminating rewriting system. In the lambda calculus an expression is divergent if it has no normal form....

lemma which states that if an (abstract) rewriting system is strongly normalizing and weakly confluent, then the rewriting system is confluent. So, if we...

In rewriting, a reduction strategy or rewriting strategy is a relation specifying a rewrite for each object or term, compatible with a given reduction...

eventually terminates, then by the Church–Rosser theorem it will produce a β-normal form. Variable names are not needed if using a universal lambda function,...

of a given manifold is unique. Though useful for definitions, it is an abstract object and not used directly (e.g. in calculations). Charts in an atlas...

{\displaystyle S} . A term rewriting system is said to be orthogonal if it is left-linear and is non-ambiguous. Orthogonal term rewriting systems are confluent...

describe a scenario in which it has become normal for people to be exploited through data and other forms of technology. It draws parallels to colonialism...

Rubio, A. (2006). "Higher-Order Orderings for Normal Rewriting". In Frank Pfenning (ed.). Term Rewriting and Applications, 17th Int. Conf., RTA-06. LNCS...

s=a^{p}b^{p}c^{p}} in L. The pumping lemma tells us that s can be written in the form s = u v w x y {\displaystyle s=uvwxy} , where u, v, w, x, and y are substrings...

the rewriting of any ground term leads to the same normal form. It is said to be terminating if the rewriting of any ground term will lead to a normal form...

ε-free can be transformed into an equivalent LL(k) grammar in Greibach normal form (which by definition does not have rules with left recursion). Let Σ...

that adding a fexpr device to lambda calculus — a device that suppresses rewriting of operands — produces a formal system with a trivial equational theory...

Service Records (SRV) allows the chaining of multiple records to form complex rewrite rules which produce new domain labels or uniform resource identifiers...

define a calling convention. In rewriting, a reduction strategy or rewriting strategy is a relation specifying a rewrite for each object or term, compatible...

that have simpler forms, known as normal forms. Some common normal forms include conjunctive normal form and disjunctive normal form. Any propositional...

Troen, S. Ilan (2007). "De-Judaizing the Homeland: Academic Politics in Rewriting the History of Palestine". Israel Affairs. 13 (4: Postcolonial Theory...

product on Lie algebras, as detailed below (#Abstract properties) in the point "Relation to the abstract tensor product". We have the following formula...