Bibliographic Details
| Title: |
Computing on semaphores of Dijkstra with place-transition nets. |
| Authors: |
Zaitsev, D. A.1 (AUTHOR) daze@acm.org |
| Source: |
International Journal of Parallel, Emergent & Distributed Systems. May2026, Vol. 41 Issue 3, p291-320. 30p. |
| Subjects: |
Petri nets, Asynchronous circuits, Recursion theory, Computer multitasking |
| Abstract: |
We consider the System V operation over a set of Dijkstra semaphores as a formal system and prove its Turing completeness. In this way, we define place-transition nets with a novel, stepless semantics, which implement transition firing rules similar to those of Petri and Salwicki. Each transition represents a thread, repeating an operation over a set of semaphores, which specify transition's incident arcs. To represent an efficient Sleptsov-Salwicki firing rule, a generalized operation over a set of semaphores is introduced. This opens prospects for fast asynchronous hardware and software implementations for the corresponding graphical language of concurrent programming. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |