# First Order Logic

- A technique for organising propositions and making relationships between the propositions in an expert system. See also Expert system.

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**First-order logic**— is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… … Wikipedia**first-order logic**— The study of inference in first order languages … Philosophy dictionary**first-order logic**— noun A formal deductive system extended from propositional logic with the possibility to quantify over individuals of the domain of discourse. Syn: FOL … Wiktionary**First-order reduction**— A first order reduction is a very weak type of reduction between two computational problems in computational complexity theory. A first order reduction is a reduction where each component is restricted to be in the class FO of problems calculable … Wikipedia**Second-order logic**— In logic and mathematics second order logic is an extension of first order logic, which itself is an extension of propositional logic.[1] Second order logic is in turn extended by higher order logic and type theory. First order logic uses only… … Wikipedia**Higher-order logic**— In mathematics, higher order logic is distinguished from first order logic in a number of ways.One of these is the type of variables appearing in quantifications; in first order logic, roughly speaking, it is forbidden to quantify over predicates … Wikipedia**Zeroth-order logic**— is a term for a quantifier free fragment of first order logic.A finitely axiomatizable zeroth order logic is isomorphic to a propositional logic. Zeroth order logic can transcend the power of propositional logic if axiom schemata are allowed. An… … Wikipedia**higher-order logic**— One in which the variables of the quantifiers are permitted to range over properties and functions as well as individuals (see also first order language ) … Philosophy dictionary**List of first-order theories**— In mathematical logic, a first order theory is given by a set of axioms in somelanguage. This entry lists some of the more common examples used in model theory and some of their properties. PreliminariesFor every natural mathematical structure… … Wikipedia**International Workshop on First-Order Theorem Proving**— The International Workshop on First Order Theorem Proving (FTP) is a scientific meeting of researchers interested in automated theorem proving for first order logic and related fields. FTP workshops are less formal than many conferences, but more … Wikipedia