The Parallel Complexity of Deadlock Detection
The Parallel Complexity of Deadlock Detection
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They will be used in this paper. Definition 3 . 1 . [Holt, 71 bT] A process p. Is blocked in a state D when p. Has outstanding requests which cannot be satisfied in D. Definition 3. 2. [Holt, 7l£] Multigraph D is reduced by a process p. (which is neither bloc - ked nor an isolated node), by removing all edges to and from p. . (This is interpreted as p. Aquiring any resources for which it has pending requests and then releasing all of its resourcess . Then p. Becomes an isolated node) . Definiti...on 3. 3 . I]lolt, 71b] The multigraph D is called irreducible if it cannot be reduced by any process. Definition 3. 4. [Holt, 71b] D is called completely reducible, iff there exists a sequence of reductions that deletes all edges of the graph. Theoren^ 3. 1 . [Holt, 71b] All reduction sequences of a given reusable resource multigraph D lead to the same irreducible multigraph. Theorem 3. 2. [Holt, 71 bj (Deadlock Theorem) D is a deadlock state iff D is not completely reducible.
We note that the above results of Holt give a quick sequential algorithm for testing if D is completely reducible (and hence, if a deadlock exists) .
What to read after The Parallel Complexity of Deadlock Detection?
You can find similar books in the "Read Also" column, or choose other free books by Paul G Spirakis to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
They will be used in this paper. Definition 3 . 1 . [Holt, 71 bT] A process p. Is blocked in a state D when p. Has outstanding requests which cannot be satisfied in D. Definition 3. 2. [Holt, 7l£] Multigraph D is reduced by a process p. (which is neither bloc - ked nor an isolated node), by removing all edges to and from p. . (This is interpreted as p. Aquiring any resources for which it has pending requests and then releasing all of its resourcess . Then p. Becomes an isolated node) . Definiti...on 3. 3 . I]lolt, 71b] The multigraph D is called irreducible if it cannot be reduced by any process. Definition 3. 4. [Holt, 71b] D is called completely reducible, iff there exists a sequence of reductions that deletes all edges of the graph. Theoren^ 3. 1 . [Holt, 71b] All reduction sequences of a given reusable resource multigraph D lead to the same irreducible multigraph. Theorem 3. 2. [Holt, 71 bj (Deadlock Theorem) D is a deadlock state iff D is not completely reducible.
We note that the above results of Holt give a quick sequential algorithm for testing if D is completely reducible (and hence, if a deadlock exists) .
What to read after The Parallel Complexity of Deadlock Detection?
You can find similar books in the "Read Also" column, or choose other free books by Paul G Spirakis to read onlineMoreLess
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