Plus a Pli Based Ultracomputer Simulator Ii

Cover Plus a Pli Based Ultracomputer Simulator Ii
Plus a Pli Based Ultracomputer Simulator Ii
Allan Gottlieb
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Infinite Loops Now assume that both the Gatekeeper and the user tasks are infinite loops with loop body as in the previous subsection. The system is deadlock free. If not, all the tasks are waiting at locked gates. Assume that the Gatekeeper is at WATT (A). Thus GATE2 is unlocked and the user tasks must be at WATT (GATEl). But then all the A's are imlocked.
3. 3. General Case Now we consider the actual situation when the Gatekeeper is an infinite loop and each user task executes an arbitrary nu
...mber, P, of macros (all user tasks must execute the same number of macros).
In the Corollary to Propostion 3, we have already seen that the first execu- tion results in the Gatekeeper completing one iteration, the gates being restored to initial condition, and the user tasks reaching WATT (GATE2). All the Gate- keeper can do is WATT (A). Thus the user tasks are free to leave the macro.
When one user task leaves its macro, it will eventually enter another macro (or else terminate). Note that the gates are back in the initial positions.


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