Temporal Logic

Concept

Temporal logic is used to specify and reason about system behavior across time, including hardware-style clocked behavior, path-based program properties, and reactive-system interactions. In the provided evidence, ITL uses temporal logic expressions for synchronous sequential systems, while recent extensions address hyperproperties and reactive systems.

First seen 5/29/2026

Last seen 5/29/2026

Evidence 2 chunks

Wiki v1

WIKI

Overview

Temporal logic is a class of logics used to specify properties of computations over time. In the provided hardware-verification evidence, temporal logic expressions are used to describe the behavior of a synchronous sequential system, where discrete time steps correspond to clock cycles of the described system. [C1]

Temporal logic is also used in program and system correctness settings. The public literature context distinguishes standard temporal logics, which refer to one computation path at a time, from extensions that quantify explicitly over paths in order to express hyperproperties such as noninterference. [C2]

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ITL ← implements 100% 1e

ITL implements temporal logic for describing synchronous system behavior.

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CITATIONS

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[1] In ITL, temporal logic expressions describe synchronous sequential systems, and discrete time steps correspond to clock cycles. Generating an Efficient Instruction Set Simulator from a Complete Property Suite

[2] Standard temporal logics refer to a single path at a time, while temporal logic with explicit path variables can express hyperproperties such as noninterference; its model checking problem is decidable, with alternation-depth-1 complexity PSPACE in formula length and NLOGSPACE in system size. A Temporal Logic for Hyperproperties

[3] ITL properties usually use an implication structure in which the prove part must hold when the assume part evaluates to true. Generating an Efficient Instruction Set Simulator from a Complete Property Suite

[4] ITL supports freeze variables and temporal operators next and prev, which shift expressions one cycle into the future or past. Generating an Efficient Instruction Set Simulator from a Complete Property Suite

[5] A safety property of the form AG(φ) can be translated to a Boolean function, and interval property checking searches for counterexamples by solving a SAT instance over an unrolled bounded interval. Generating an Efficient Instruction Set Simulator from a Complete Property Suite

[6] Reactive temporal logic is adapted for reactive systems that synchronize actions with their environment, and has been applied to fair scheduling and mutual exclusion definitions. Reactive Temporal Logic