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  2. Elementary diagram - Wikipedia

    en.wikipedia.org/wiki/Elementary_diagram

    Elementary diagram. In the mathematical field of model theory, the elementary diagram of a structure is the set of all sentences with parameters from the structure that are true in the structure. It is also called the complete diagram .

  3. Syntactic Structures - Wikipedia

    en.wikipedia.org/wiki/Syntactic_Structures

    Syntax was recognized as the focal point of language production, in which a finite set of rules can produce an infinite number of sentences. Subsequently, morphology (i.e. the study of structure and formation of words) and phonology (i.e. the study of organization of sounds in languages) were relegated in importance.

  4. Sentence diagram - Wikipedia

    en.wikipedia.org/wiki/Sentence_diagram

    A sentence diagram is a pictorial representation of the grammatical structure of a sentence. The term "sentence diagram" is used more when teaching written language, where sentences are diagrammed. The model shows the relations between words and the nature of sentence structure and can be used as a tool to help recognize which potential ...

  5. First-order logic - Wikipedia

    en.wikipedia.org/wiki/First-order_logic

    First-order logic —also called predicate logic, predicate calculus, quantificational logic —is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables, so that rather than ...

  6. Löwenheim–Skolem theorem - Wikipedia

    en.wikipedia.org/wiki/Löwenheim–Skolem_theorem

    The complete theory of for the extended signature ′ is called the elementary diagram of . In the next step one adds κ {\displaystyle \kappa } many new constant symbols to the signature and adds to the elementary diagram of M {\displaystyle M} the sentences c ≠ c ′ {\displaystyle c eq c'} for any two distinct new constant symbols c ...

  7. Theory (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Theory_(mathematical_logic)

    The positive diagram of A is the set of all atomic σ'-sentences that A satisfies. It is denoted by diag + A . The elementary diagram of A is the set eldiag A of all first-order σ'-sentences that are satisfied by A or, equivalently, the complete (first-order) theory of the natural expansion of A to the signature σ'.

  8. Constituent (linguistics) - Wikipedia

    en.wikipedia.org/wiki/Constituent_(linguistics)

    Constituent (linguistics) In syntactic analysis, a constituent is a word or a group of words that function as a single unit within a hierarchical structure. The constituent structure of sentences is identified using tests for constituents. [ 1] These tests apply to a portion of a sentence, and the results provide evidence about the constituent ...

  9. Syntax diagram - Wikipedia

    en.wikipedia.org/wiki/Syntax_diagram

    The representation of a grammar is a set of syntax diagrams. Each diagram defines a "nonterminal" stage in a process. There is a main diagram which defines the language in the following way: to belong to the language, a word must describe a path in the main diagram. Each diagram has an entry point and an end point.

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