predicate logic

a) The generic term for symbolic formal systems like firstorder logic, secondorder logic, manysorted logic or infinitary logic.b) Firstorder logic. <! See .See Also: predicate calculus
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Predicate logic — In mathematical logic, predicate logic is the generic term for symbolic formal systems like first order logic, second order logic, many sorted logic or infinitary logic. This formal system is distinguished from other systems in that its formulas… … Wikipedia
Predicate (logic) — Sometimes it is inconvenient or impossible to describe a set by listing all of its elements. Another useful way to define a set is by specifying a property that the elements of the set have in common. The notation P(x) is used to denote a… … Wikipedia
monadic predicate logic — noun The fragment of predicate logic in which all predicate letters are monadic (that is, they take only one argument), and there are no function letters … Wiktionary
Extension (predicate logic) — The extension of a predicatendasha truth valued functionndashis the set of tuples of values that, used as arguments, satisfy the predicate. Such a set of tuples is a relation.For example the statement d2 is the weekday following d1 can be seen as … Wikipedia
predicate calculus — Logic. See functional calculus. Also called predicate logic. [1945 50] * * * Part of modern symbolic logic which systematically exhibits the logical relations between propositions involving quantifiers such as all and some. The predicate calculus … Universalium
Logic programming — is, in its broadest sense, the use of mathematical logic for computer programming. In this view of logic programming, which can be traced at least as far back as John McCarthy s [1958] advice taker proposal, logic is used as a purely declarative… … Wikipedia
Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… … History of philosophy
Logic in computer science — describes topics where logic is applied to computer science and artificial intelligence. These include:*Investigations into logic that are guided by applications in computer science. For example: Combinatory logic and Abstract interpretation;… … Wikipedia
Logic (disambiguation) — Logic is the study of the principles and criteria of valid inference and demonstration.Logic may also refer to:In logic and mathematics*A branch of logic: **Inductive logic, also called induction or inductive reasoning **Informal logic, the study … Wikipedia
Predicate — or predication may refer to:*Predicate (mathematics), a relation, or the boolean valued characteristic function or indicator function of a relation *Predicate (logic), a fundamental concept in first order logic **in Bertrand Russell s theory of… … Wikipedia