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In logic, the term temporal logic is used to describe any system of rules and symbolism for representing, and reasoning about, propositions qualified in terms of time. It is sometimes also used to refer to tense logic, a particular modal logic-based system of temporal logic introduced by Arthur Prior in the 1960s. Subsequently it has been developed further by computer scientists, notably Amir Pnueli, and logicians.

Temporal logic was first studied in depth by Aristotle, whose writings are filled with a crude form of first-order temporal modal binary logic. Any logic which uses the existential quantifier or the universal quantifier is said to be a first-order logic. Any logic which views time as a sequence of states is a temporal logic, and any logic which uses only two truth values is a binary logic.

Consider the statement: "I am hungry." Though its meaning is constant in time, the truth value of the statement can vary in time. Sometimes the statement is true, and sometimes the statement is false, but the statement is never true and false simultaneously. In a temporal logic, statements can have a truth value which can vary in time. Contrast this with an atemporal logic, which can only handle statements whose truth value is constant in time.

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Efficient Symbolic Tools - A BDD based tool for the formal verification of concurrent systems using a propositional branching-time temporal logic: action computation tree logic (ACTL). It runs under different OS, including Linux and Windows 95/98/NT.

Ground Temporal Logic: A Logic for Hardware Verification - A temporal logic designed to specify properties of hardware at the register transfer level.

Interval Temporal Logic - A flexible notation for both propositional and first-order reasoning about periods of time found in descriptions of hardware and software systems. A paper by Antonio Cau, Ben Moszkowski and Hussein Zedan.

JMCA - Java ModelChecking Application - JMCA is an Java application for formally verifying finite-state concurrent systems using temporal logic formulas (ltl formulas).

Marking up Temporal Logic - First in a series of posts to the www-math mailing list on using TL operators in web pages. Clicking [Prev] will continue through the series.

404 Spin - A general tool for verifying the correctness of distributed software (designs) in a rigorous and mostly automated fashion. Can be used as a full linear temporal logic model checking system.

Temporal Logic - The Stanford Encyclopedia of Philosophy entry on the subject, with a detailed description, application areas and a bibliography.

Temporal Logic Case Study - A case study applying temporal logic to specify the operation of a bank of identical elevators servicing a number of floors in a building.

Temporal Logic in Information Systems - A survey of the field by Jan Chomicki and David Toman. From the 1997 BRICS Lecture Series.
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TemporalRover - Provides automatic verification of protocols and reactive systems through temporal logic specifications.

500 The Temporal Logic of Actions - A logic for specifying and reasoning about concurrent systems.

Time International Workshop Series - The annual International Workshop on Temporal Representation and Reasoning covers temporal representation and reasoning, including temporal logic.

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