Computer Science

Download A Discipline of Multiprogramming: Programming Theory for by Jayadev Misra PDF

By Jayadev Misra

During this ebook, a programming version is constructed that addresses the elemental problems with 'large-scale programming'. The strategy unifies numerous strategies from database conception, object-oriented programming and designs of reactive platforms. The version and the linked idea has been christened "Seuss." the key objective of Seuss is to simplify multiprogramming. To this finish, the fear of concurrent implementation is separated from the center application layout challenge. A application execution is known as a unmarried thread of keep watch over - sequential executions of activities which are selected in accordance with a few scheduling coverage. for that reason, it truly is attainable to cause in regards to the homes of a application from its unmarried execution thread.

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Extra resources for A Discipline of Multiprogramming: Programming Theory for Distributed Applications (Monographs in Computer Science)

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The execution strategy is to start in a state where ds = 0 and dj = 00 for all j, j =I s, and to execute an arbitrary action in each step, ensuring that every action is executed eventually. , d = D. , a fixed point is a solution of F. From theorem (GS), d ~ D at any fixed point. Below, we show that D ~ d is an invariant of the proposed execution. Coupled with d ~ D at a fixed point, we have d = D at any fixed point reached by this execution (recall that ~ is a partial order). In the next section we address the question of reaching a fixed point.

Call node i idle if Sik for all k are idle; i is active otherwise. The proposed implementation strategy guarantees that if Sij is chosen in a superstep, i is active, and following the superstep i is permanently idle. A superstep may be implemented in O(n) time. Associate a label, idle or active, with each node; initially all nodes are active. Scan the list of d-values to locate an active node i such that d i is lowest among all active nodes; this is an O(n) computation. Then execute S i k for all k and mark i idle; this is again an O(n) computation.

Next, we show {P/\m>n} {P /\ n>m} m,n :=m-n, n {P} m,n :=m,n-m {P} These assertions can be proved from the following properties of gcd (which we do not prove here). For positive integers x and y: gcd(x, y) = gcd(y, x) x> y =} gcd(x, y) = gcd(x - y, y) Next, we show that m = gcd(M, N) holds at any fixed point reached by the box CGD. First, compute the FP for this box. 4 Examples 23 FP = {from the definition of FP} ((m>n) => (m,n=m-n , n)) 1\ ((n>m) => (m,n=m,n-m)) {Simplify } ((m > n) => (n = 0)) 1\ ((n > m) => (m = 0)) Any fixed point reached by the box satisfies the invariant and this FP; hence, at a reachable fixed point P 1\ ((m > n) => (n = 0)) 1\ ((n> m) => (m = 0)) => {P => n > O.

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