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A Denotational Semantics of Real-Time Process Algebra (RTPA)

A Denotational Semantics of Real-Time Process Algebra (RTPA)

Xinming Tan, Yinggxu Wang
Copyright: © 2008 |Volume: 2 |Issue: 3 |Pages: 14
ISSN: 1557-3958|EISSN: 1557-3966|ISSN: 1557-3958|EISBN13: 9781615201938|EISSN: 1557-3966|DOI: 10.4018/jcini.2008070105
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MLA

Tan, Xinming, and Yinggxu Wang. "A Denotational Semantics of Real-Time Process Algebra (RTPA)." IJCINI vol.2, no.3 2008: pp.57-70. http://doi.org/10.4018/jcini.2008070105

APA

Tan, X. & Wang, Y. (2008). A Denotational Semantics of Real-Time Process Algebra (RTPA). International Journal of Cognitive Informatics and Natural Intelligence (IJCINI), 2(3), 57-70. http://doi.org/10.4018/jcini.2008070105

Chicago

Tan, Xinming, and Yinggxu Wang. "A Denotational Semantics of Real-Time Process Algebra (RTPA)," International Journal of Cognitive Informatics and Natural Intelligence (IJCINI) 2, no.3: 57-70. http://doi.org/10.4018/jcini.2008070105

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Abstract

Real-time process algebra (RTPA) is a form of denotational mathematics for dealing with fundamental system behaviors such as timing, interrupt, concurrency, and event/time/interrupt-driven system dispatching. Because some key RTPA processes cannot be described adequately in conventional denotational semantic paradigms, a new framework for modeling time and processes is sought in order to represent RTPA in denotational semantics. Within this framework, time is modeled by the elapse of process execution. The process environment encompasses states of all variables represented as mathematical maps, which project variables to their corresponding values. Duration is introduced as a pair of time intervals and the environment to represent the changes of the process environment during a time interval. Temporal ordered durations and operations on them are used to denote process executions. On the basis of these means, a comprehensive set of denotational semantics for RTPA are systematically developed and formally expressed.

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