First-order logic
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First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—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 propositions such as Socrates is a man one can have expressions in the form "there exists x such that x is Socrates and x is a man" and there exists is a quantifier while x is a variable.
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See also
- ACL2 — A Computational Logic for Applicative Common Lisp.
- Equiconsistency
- Extension by definitions
- Herbrandization
- Higher-order logic
- List of logic symbols
- Löwenheim number
- Nonfirstorderizability
- Prenex normal form
- Relational algebra
- Relational model
- Second-order logic
- Skolem normal form
- Tarski's World
- Truth table
- Type (model theory)
- Prolog
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