Verification of Several Parallel Coordination Programs Based On Descriptions of
Verification of Several Parallel Coordination Programs Based On Descriptions of
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Thus we have (2) R C S2 U S4 U S5.
Properties (1) and (2) together give R = S2 U S4 U S5 In subsequent examples a similar argument shows that R is the union of the sets presented in the RSD.
The above analysis has actually involved a hidden assumption that N is sufficiently large. For example when we considered those states s in S3 such that n2 > 0, we tacitly assumed that N > 1 (or else no such s exists). For each example in this paper it is easy to see that there exists an Nq such that for al...l N > Ng all the required states do exist. In particular, for the semaphore example just discussed, one may choose Nq = 2. However, the REACHABILITY TREE and the RSD tables are actually valid for all N > 1 if interpreted correctly. Although for small N some sets Si are empty and some branching conditions are unsatisf iable, no contradiction arises. This may be easily checked on a case-by-case basis.
Before analysing the semaphore program using the above RSD let us make the following general remarks.
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To quickly assess the difficulty of the text, read a short excerpt:
Thus we have (2) R C S2 U S4 U S5.
Properties (1) and (2) together give R = S2 U S4 U S5 In subsequent examples a similar argument shows that R is the union of the sets presented in the RSD.
The above analysis has actually involved a hidden assumption that N is sufficiently large. For example when we considered those states s in S3 such that n2 > 0, we tacitly assumed that N > 1 (or else no such s exists). For each example in this paper it is easy to see that there exists an Nq such that for al...l N > Ng all the required states do exist. In particular, for the semaphore example just discussed, one may choose Nq = 2. However, the REACHABILITY TREE and the RSD tables are actually valid for all N > 1 if interpreted correctly. Although for small N some sets Si are empty and some branching conditions are unsatisf iable, no contradiction arises. This may be easily checked on a case-by-case basis.
Before analysing the semaphore program using the above RSD let us make the following general remarks.
What to read after Verification of Several Parallel Coordination Programs Based On Descriptions of?
You can find similar books in the "Read Also" column, or choose other free books by B D Lubachevsky to read onlineMoreLess
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