Time and Fairness in a Process Algebra with Non-Blocking Reading
F. Corradini, M.R. Di Berardini, W. Vogler
2008-13
published July 2008
in: Augsburg, Germany
Technical Report, Institute of Computer Science, University of Augsburg, 2008
We introduce the first process algebra with non-blocking reading
actions for modelling concurrent asynchronous systems, and we do
it in two different ways: one is more flexible, the other is simpler
since it needs only one type of transitions. We study the impact
this new kind of actions have on fairness, liveness and the timing
of systems, using Dekker's mutual exclusion algorithm we already
considered in earlier work as running example. Regarding some
actions as reading, this algorithm satisfies MUTEX liveness
already under the assumption of fairness of actions. We demonstrate
an interesting correspondence between liveness and the
catastrophic cycles that we introduced before when studying
the performance of pipelining. Finally, our previous result on the
correspondence between timing and fairness scales up to
the extended language.
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