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Part of the book series: Synthesis Lectures on Distributed Computing Theory ((SLDCT))

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Abstract

In this chapter, we give basic mathematical definitions and notation that will be used as a foundation for our definitions of timed automata and timed I/O automata. These definitions involve functions, sequences, partial orders, and untimed automata. Many readers might prefer to skip directly to Chapter 4, referring back to Chapters 2 and 3 as needed.

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Kaynar, D.K., Lynch, N., Segala, R., Vaandrager, F. (2011). Mathematical Preliminaries. In: The Theory of Timed I/O Automata. Synthesis Lectures on Distributed Computing Theory. Springer, Cham. https://doi.org/10.1007/978-3-031-02003-2_2

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