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By Kaynar D.K., Lynch N., Segala R., Vaandrager F.

This monograph provides the timed input/output automaton (TIOA) modeling framework, a simple mathematical framework to help description and research of timed (computing) platforms. Timed structures are structures within which fascinating correctness or functionality homes of the approach depend upon the timing of occasions, not only at the order in their prevalence. Timed platforms are hired in quite a lot of domain names together with communications, embedded platforms, real-time working structures, and automatic keep an eye on. Many purposes regarding timed platforms have robust safeguard, reliability, and predictability requisites, which makes it vital to have tools for systematic layout of structures and rigorous research of timing-dependent habit. a huge function of the TIOA framework is its help for decomposing timed approach descriptions. specifically, the framework contains a thought of exterior habit for a TIOA, which captures its discrete interactions with its setting. The framework additionally defines what it potential for one TIOA to enforce one other, in response to an inclusion courting among their exterior habit units, and defines notions of simulations, which offer adequate stipulations for demonstrating implementation relationships. The framework encompasses a composition operation for TIOAs, which respects exterior habit, and a proposal of receptiveness, which means TIOA doesn't block the passage of time.

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