Concurrency Theory: Calculi and Automata for Modelling by Howard Bowman

By Howard Bowman

Concurrency Theory is a synthesis of 1 of the key threads of theoretical desktop technology study concentrating on languages and graphical notations for describing collections of at the same time evolving parts that engage via synchronous communique. the most specification notation concerned about during this publication is LOTOS. an in depth creation to this actual procedure calculus is given, highlighting how the process differs from competitor recommendations, equivalent to CCS and CSP.

The booklet covers linear-time semantics, according to lines; branching-time semantics, utilizing either categorised transition platforms and refusals; and precise concurrency semantics, utilizing (bundle) occasion buildings. furthermore, the publication discusses speaking automata ways (both finite and limitless state); how the idea may be generalised to the timed environment; and, ultimately, the authors generalise the (finite and endless kingdom) speaking automata notations to yield timed automata and discrete timed automata.

This e-book represents a entire go through the spectrum of concurrency idea study: From untimed to timed syntax and semantics and procedure calculi to automata. Researchers and practitioners within the box of concurrency concept, in addition to MSc and PhD scholars, will locate the great assurance during this publication crucial reading.

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Extra info for Concurrency Theory: Calculi and Automata for Modelling Untimed and Timed Concurrent Systems

Example text

Thus conceptually, no button is raised when it is offered or pushed when it is performed. It is important to note though that although an i action is not externally visible, it may “indirectly” affect behaviour that is externally visible. Typically, an i action will represent an internal decision, resolution of which prescribes a particular visible behaviour. The internal action has a number of roles. Firstly, it enables information hiding; actions that are observable at one level of specification can be transformed into hidden actions at another level.

E. can contain cycles. 1 Abstract Actions The first major principle is to assume the existence of a universe of observable actions (these are also called external actions). For example, in specifying a communication protocol we might assume the following observable actions exist. • send, which references the instant that a message is transmitted from a sender process to a communication medium; • receive, which references the instant that a message is passed from the communication medium to a receiver process; • timeout, which references the instant that a sender process times out waiting for an acknowledgement; • And similarly, sendAck, receiveAck, get, put etc; and, in specifying the Dining Philosophers problem, we might assume the following observable actions: • pick, which references the instant that a chopstick is picked up off the table; and • put, which references the instant that a chopstick is put back onto the table.

However, in concurrency theory, equality between expressions is often more generous than the equality induced by evaluating to the same behavioural value. 3 One of the most important examples of such a relationship is strong bisimulation equivalence. This is denoted ∼ and if P ∼ Q then, broadly speaking, we can view P as strongly equivalent to Q. Once again, this is an issue that we return to later in this book. 8. Proof Rules One of the most powerful techniques in mathematics is to identify proof systems.

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