propositional logic and predicate logic, a well-formed formula, abbreviated WFF or wff, often simply formula, is a finite sequence of symbols from a given...

Look up well-formed in Wiktionary, the free dictionary. Well-formed or wellformed indicate syntactic correctness and may refer to: Well-formedness, quality...

the same way formulas can be likened to grammatical sentences. In mathematical logic, a formula (often referred to as a well-formed formula) is an entity...

propositional formula is a type of syntactic formula which is well formed and has a truth value. If the values of all variables in a propositional formula are given...

to a particular formal language are sometimes called well-formed words or well-formed formulas. A formal language is often defined by means of a formal...

constitute the well-formed formulas of a formal system. In computer science, the term syntax refers to the rules governing the composition of well-formed expressions...

following: Formal language, which is a set of well-formed formulas, which are strings of symbols from an alphabet, formed by a formal grammar (consisting of production...

equivalently a formula that has no strict subformulas. Atoms are thus the simplest well-formed formulas of the logic. Compound formulas are formed by combining...

cannot be expressed with a well-formed formula. More precisely, if the set of all sets can be expressed with a well-formed formula, this implies that the...

the basis and inductive clauses (extremal clause). The notion of a well-formed formula (wff) in propositional logic is defined recursively as the smallest...

for infants Trinitarian formula, a Biblical phrase Well-formed formula, a word that is part of a formal language, in logic Formula fiction, literature following...

closed-form expression of this object, that is, an expression of this object in terms of previous ways of specifying it. The quadratic formula x = − b...

of well-formed formulas S syntactically entails the well-formed formula φ then S semantically entails φ. Completeness: If the set of well-formed formulas...

a well-formed formula (wff) of L. If φ is a well-formed formula (wff) of L, then '~φ' is a well-formed formula (wff) of L. Nothing else is a well-formed...

"formula" to mean "well-formed formula" and have no term for non-well-formed formulas. In every context, it is only the well-formed formulas that are of interest...

mathematical logic, a sentence (or closed formula) of a predicate logic is a Boolean-valued well-formed formula with no free variables. A sentence can be...

defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation...

formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an...

wherein a formal system of logic is sound if and only if every well-formed formula that can be proven in the system is logically valid with respect...

a Gödel numbering is a function that assigns to each symbol and well-formed formula of some formal language a unique natural number, called its Gödel...

interpretation of them. A symbol or string of symbols may comprise a well-formed formula if it is consistent with the formation rules of the language. In...

allow new well-formed formulas to be constructed by joining other well-formed formulas using truth-functional connectives, see well-formed formula. Logical...

Grammar framework L-system Lojban Post canonical system Shape grammar Well-formed formula Meduna, Alexander (2014), Formal Languages and Computation: Models...

theorems. Axioms: Formulas in L assumed to be valid. All theorems are derived from axioms. A formal proof of a well-formed formula in a proof system is...

typical judgments in first-order logic would be that a string is a well-formed formula, or that a proposition is true. Similarly, a judgment may assert...

clearly expressed by means of sentences called well-formed formulas (also called wffs or simply formulas). The validity of an argument can be tested, proved...

} is a well-formed formula, then so is: ¬ ϕ {\displaystyle \lnot \phi } If ϕ {\displaystyle \phi } and ψ {\displaystyle \psi } are well-formed formulae...

In Boolean logic, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause is...

additional contradiction where unicorns do and do not exist), as well as any other well-formed formula. Thus, there is an explosion of true statements. In a different...

A semantically well-formed utterance or sentence is one that is meaningful. Grammatical well-formedness and semantic well-formedness do not always coincide...