New PDF release: Concurrency Theory: Calculi an Automata for Modelling

By Howard Bowman

ISBN-10: 1846283361

ISBN-13: 9781846283369

ISBN-10: 1852338954

ISBN-13: 9781852338954

The e-book offers an intensive creation to LOTOS highlighting how the method differs from competitor concepts reminiscent of CCS and CSP. The notation is illustrated through a couple of working examples and by utilizing the LOTOS procedure calculus a spectrum of semantic types for concurrent structures are reviewed. particularly, linear-time semantics; in response to lines; branching-time semantics; utilizing either labelled transition platforms and refusals, are used to spotlight precise concurrency semantics utilizing occasion structures.

In addition to this an easy timed extension to LOTOS is brought utilizing operating examples, permitting attention of ways the untimed semantic versions – strains, labelled transition structures, refusals and occasion buildings – will be generalised to the timed surroundings. The authors additionally generalise the easy speaking automata notation to yield timed automata with multi-way synchronisation utilizing model-checking verification equipment and new innovations to avoid time-locks from arising.

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

Example text

The medium then relays the message to the receiver. Successful transmissions cause an event receive to occur at the receiver process. However, the medium may lose the message, in which case no such event is able to occur. In addition, the receiver sends acknowledgements through the medium (so the medium is a duplex channel). Sending and receiving these acknowledgements are identified by the events sendAck and receiveAck, respectively. Successfully received messages are passed out of the system on the receiver side using the event put.

In particular, we define preorders and equivalences which characterise relationships between concurrency theory values. For example, we define a relation ≤tr (called trace preorder), which gives one interpretation of when a particular system (value) is “less than or equal to” a second system (value). Equality Probably the most important relation is equality. For example, in the theory of numbers, (X + 73) × 3 = ((X + 72) × 3) + 3. The fact that these 12 1 Background on Concurrency Theory two expressions are equal is justified by the fact that whatever value you plug in for X, the two expressions evaluate to the same value.

Thus, nodes represent states that the system can be in, arcs represent that an event can occur and the labelling of arcs indicates which event occurs. a b c c d e Fig. 2. A Labelled Transition System One point to note is that the values in mathematical theories of computation (of which concurrency theory is a branch) are behaviours of systems: they code the possible executions of systems. This computational aspect of underlying mathematical objects is in contrast to standard mathematical theories, where values are static in nature.

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Concurrency Theory: Calculi an Automata for Modelling Untimed and Timed Concurrent Systems by Howard Bowman

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