Temporal logic

Temporal logic

In logic, temporal logic is any system of rules and symbolism for representing, and reasoning about, propositions qualified in terms of time (for example, "I am always hungry", "I will eventually be hungry", or "I will be hungry until I eat something"). It is sometimes also used to refer to tense logic, a modal logic-based system of temporal logic introduced by Arthur Prior in the late 1950s, with important contributions by Hans Kamp. It has been further developed by computer scientists, notably Amir Pnueli, and logicians. Temporal logic has found an important application in formal verification, where it is used to state requirements of hardware or software systems. For instance, one may wish to say that whenever a request is made, access to a resource is eventually granted, but it is never granted to two requestors simultaneously. Such a statement can conveniently be expressed in a temporal logic. (Wikipedia).

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Double turnstile | Alonzo Church | Saul Kripke | Timed propositional temporal logic | Tautology (logic) | Propositional calculus | Time | Temporal logic of actions | Total order | Formal verification | Kripke semantics | Property Specification Language | Transitive reduction | Well-formed formula | Computation tree logic | Atomic formula | Duration calculus | Automata theory | Amir Pnueli | Backus–Naur form | CTL* | Binary relation | Modal logic | HPO formalism | Sentence (mathematical logic) | Metric temporal logic | Reflexive relation | Modal operator | Hennessy–Milner logic | Interval temporal logic | Modus ponens | Modal μ-calculus | Truth function | Dense order | Arthur Prior | Linear temporal logic | Charles Sanders Peirce | Problem of future contingents | Reo Coordination Language | Antisymmetric relation | First-order logic | Hybrid logic