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A set of sentences is called a theory; thus, individual sentences may be called theorems. To properly evaluate the truth (or falsehood) of a sentence, one must make reference to an interpretation of the theory. For first-order theories, interpretations are commonly called structures. Given a structure or interpretation, a sentence will have a ...
In logic, a clause is a propositional formula formed from a finite collection of literals (atoms or their negations) and logical connectives.A clause is true either whenever at least one of the literals that form it is true (a disjunctive clause, the most common use of the term), or when all of the literals that form it are true (a conjunctive clause, a less common use of the term).
A term that doesn't contain any variables is called a ground term; a term that doesn't contain multiple occurrences of a variable is called a linear term. For example, 2+2 is a ground term and hence also a linear term, x⋅(n+1) is a linear term, n⋅(n+1) is a non-linear term. These properties are important in, for example, term rewriting.
A definition of a function, set, or other mathematical object that is defined in terms of itself, using a base case and a rule for generating subsequent elements. recursive function A function that can be computed by a procedure that calls itself, directly or indirectly, with a base case to prevent infinite recursion. recursive function theory
They are called definite clause grammars because they represent a grammar as a set of definite clauses in first-order logic. The term DCG refers to the specific type of expression in Prolog and other similar languages; not all ways of expressing grammars using definite clauses are considered DCGs.
The earliest use of the word clause in Middle English is non-technical and similar to the current everyday meaning of phrase: "A sentence or clause, a brief statement, a short passage, a short text or quotation; in a ~, briefly, in short; (b) a written message or letter; a story; a long passage in an author's source."
In linguistics, syntax (/ ˈ s ɪ n t æ k s / SIN-taks) [1] [2] is the study of how words and morphemes combine to form larger units such as phrases and sentences.Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure (constituency), [3] agreement, the nature of crosslinguistic variation, and the relationship between form and meaning ().
A simple sentence consists of only one clause. A compound sentence consists of two or more independent clauses. A complex sentence has at least one independent clause plus at least one dependent clause. [1] A set of words with no independent clause may be an incomplete sentence, also called a sentence fragment.