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  2. Predicate (mathematical logic) - Wikipedia

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

    A predicate is a statement or mathematical assertion that contains variables, sometimes referred to as predicate variables, and may be true or false depending on those variables’ value or values. In propositional logic, atomic formulas are sometimes regarded as zero-place predicates. [1] In a sense, these are nullary (i.e. 0-arity) predicates.

  3. List of rules of inference - Wikipedia

    en.wikipedia.org/wiki/List_of_rules_of_inference

    Rules of inference are syntactical transform rules which one can use to infer a conclusion from a premise to create an argument. A set of rules can be used to infer any valid conclusion if it is complete, while never inferring an invalid conclusion, if it is sound.

  4. Interpretation (logic) - Wikipedia

    en.wikipedia.org/wiki/Interpretation_(logic)

    The signature consists of a set of non-logical symbols and an identification of each of these symbols as either a constant symbol, a function symbol, or a predicate symbol. In the case of function and predicate symbols, a natural number arity is also assigned. The alphabet for the formal language consists of logical constants, the equality ...

  5. Predicate variable - Wikipedia

    en.wikipedia.org/wiki/Predicate_variable

    If "predicate variables" are only allowed to be bound to predicate letters of zero arity (which have no arguments), where such letters represent propositions, then such variables are propositional variables, and any predicate logic which allows second-order quantifiers to be used to bind such propositional variables is a second-order predicate ...

  6. Predicate - Wikipedia

    en.wikipedia.org/wiki/Predicate

    Predicate or predication may refer to: Predicate (grammar), in linguistics; Predication (philosophy) several closely related uses in mathematics and formal logic:

  7. Compound predicate - Wikipedia

    en.wikipedia.org/?title=Compound_predicate&...

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  8. Well-formed formula - Wikipedia

    en.wikipedia.org/wiki/Well-formed_formula

    For predicate logic, the atoms are predicate symbols together with their arguments, each argument being a term. According to some terminology, an open formula is formed by combining atomic formulas using only logical connectives, to the exclusion of quantifiers. [15] This is not to be confused with a formula which is not closed.

  9. Prolog syntax and semantics - Wikipedia

    en.wikipedia.org/wiki/Prolog_syntax_and_semantics

    Unlike other variables, the underscore does not represent the same value everywhere it occurs within a predicate definition. A compound term is composed of an atom called a "functor" and a number of "arguments", which are again terms. Compound terms are ordinarily written as a functor followed by a comma-separated list of argument terms, which ...

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