The Theory of Timed I/O Automata, Second Edition

[LeeAndro]

English | PDF | 2010 | 137 Pages | ISBN : 1608450023 | 0.7 MB

This monograph presents the d Input/Output Automaton (TIOA) modeling framework, a basic mathematical framework to support description and analysis of d (computing) systems.​

d systems are systems in which desirable correctness or performance properties of the system depend on the timing of events, not just on the order of their occurrence. d systems are employed in a wide range of domains including communications, embedded systems, real- operating systems, and automated control. Many applications involving d systems have strong safety, reliability, and predictability requirements, which make it important to have methods for systematic design of systems and rigorous analysis of timing-dependent behavior. The TIOA framework also supports description and analysis of d distributed algorithms distributed algorithms whose correctness and performance depend on the relative speeds of processors, accuracy of local clocks, or communication delay bounds. Such algorithms arise, for example, in traditional and wireless communications, networks of mobile devices, and shared-memory multiprocessors. The need to prove rigorous theoretical results about d distributed algorithms makes it important to have a suitable mathematical foundation.

An important feature of the TIOA framework is its support for decomposing d system descriptions. In particular, the framework includes a notion of external behavior for a d I/O automaton, which captures its discrete interactions with its environment. The framework also defines what it means for one TIOA to implement another, based on an inclusion relationship between their external behavior sets, and defines notions of simulations, which provide sufficient conditions for demonstrating implementation relationships. The framework includes a composition operation for TIOAs, which respects external behavior, and a notion of receptiveness, which implies that a TIOA does not block the passage of .

The TIOA framework also defines the notion of a property and what it means for a property to be a safety or a liveness property. It includes results that capture common proof methods for showing that automata satisfy properties.



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