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Book ChapterDOI

Temporal and modal logic

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TLDR
In this article, a multiaxis classification of temporal and modal logic is presented, and the formal syntax and semantics for two representative systems of propositional branching-time temporal logics are described.
Abstract
Publisher Summary This chapter discusses temporal and modal logic. The chapter describes a multiaxis classification of systems of temporal logic. The chapter describes the framework of linear temporal logic. In both its propositional and first-order forms, linear temporal logic has been widely employed in the specification and verification of programs. The chapter describes the competing framework of branching temporal logic, which has seen wide use. It also explains how temporal logic structures can be used to model concurrent programs using non-determinism and fairness. The chapter also discusses other modal and temporal logics in computer science. The chapter describes the formal syntax and semantics of Propositional Linear Temporal Logic (PLTL). The chapter also describes the formal syntax and semantics for two representative systems of propositional branching-time temporal logics.

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Citations
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References
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Journal ArticleDOI

Communicating sequential processes

TL;DR: It is suggested that input and output are basic primitives of programming and that parallel composition of communicating sequential processes is a fundamental program structuring method.
Proceedings ArticleDOI

The temporal logic of programs

Amir Pnueli
TL;DR: A unified approach to program verification is suggested, which applies to both sequential and parallel programs, and the main proof method is that of temporal reasoning in which the time dependence of events is the basic concept.
Journal ArticleDOI

Automatic verification of finite-state concurrent systems using temporal logic specifications

TL;DR: It is argued that this technique can provide a practical alternative to manual proof construction or use of a mechanical theorem prover for verifying many finite-state concurrent systems.
Book

Introduction to VLSI systems