Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

CPO Semantics of Timed Interactive Actor Networks

Xiaojun Liu and Edward A. Lee

EECS Department
University of California, Berkeley
Technical Report No. UCB/EECS-2006-67
May 18, 2006

http://www.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-67.pdf

We give a denotational framework for composing interactive components into closed or open systems and show how to adapt classical domain-theoretic approaches to open systems and to timed systems. For timed systems, instead of the usual metric-space-based approaches, we show that existence and uniqueness of behaviors are ensured by continuity with respect to a simply defined prefix order. Existence and uniqueness of behaviors, however, does not imply that a composition of components yields a useful behavior. The unique behavior could be empty or smaller than expected. We define liveness and show that appropriately defined causality conditions ensure liveness and freedom from Zeno conditions. In our formulation, causality does not require a metric and can embrace a wide variety of models of time.

Author Comments: A revised version of this paper is at http://www.eecs.berkeley.edu/Pubs/TechRpts/2007/EECS-2007-131.html.


BibTeX citation:

@techreport{Liu:EECS-2006-67,
    Author = {Liu, Xiaojun and Lee, Edward A.},
    Title = {CPO Semantics of Timed Interactive Actor Networks},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {2006},
    Month = {May},
    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-67.html},
    Number = {UCB/EECS-2006-67},
    Note = {A revised version of this paper is at
<a href="http://www.eecs.berkeley.edu/Pubs/TechRpts/2007/EECS-2007-131.html">
http://www.eecs.berkeley.edu/Pubs/TechRpts/2007/EECS-2007-131.html</a>.},
    Abstract = {We give a denotational framework for composing interactive components into closed or open systems and show how to adapt classical domain-theoretic approaches to open systems and to timed systems. For timed systems, instead of the usual metric-space-based approaches, we show that existence and uniqueness of behaviors are ensured by continuity with respect to a simply defined prefix order. Existence and uniqueness of behaviors, however, does not imply that a composition of components yields a useful behavior. The unique behavior could be empty or smaller than expected. We define liveness and show that appropriately defined causality conditions ensure liveness and freedom from Zeno conditions. In our formulation, causality does not require a metric and can embrace a wide variety of models of time.}
}

EndNote citation:

%0 Report
%A Liu, Xiaojun
%A Lee, Edward A.
%T CPO Semantics of Timed Interactive Actor Networks
%I EECS Department, University of California, Berkeley
%D 2006
%8 May 18
%@ UCB/EECS-2006-67
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-67.html
%F Liu:EECS-2006-67