The first known correct software solution to the critical-section problem for two processes was developed by Dekker. The two processes, P0 and P1, share the following variables:                             boolean flag[2]; /* initially false */                                            int turn; The structure of process Pi (i == 0 or 1) is shown below; the other process is Pj (j == 1 or 0). Prove that the algorithm satisfies all three requirements for the critical-section problem. while (true) { flag[i] = true; while (flag[j]) { if (turn == j) { flag[i] = false; while (turn == j)                  ; /* do nothing */              flag[i] = true; } } /* critical section */ turn = j; flag[i] = false; /* remainder section */ }

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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The first known correct software solution to the critical-section problem for two processes was developed by Dekker. The two processes, P0 and P1, share the following variables:
                            boolean flag[2]; /* initially false */
                                           int turn;
The structure of process Pi (i == 0 or 1) is shown below; the other process is Pj (j == 1 or 0). Prove that the algorithm satisfies all three requirements for the critical-section problem.
while (true) { flag[i] = true; while (flag[j]) {
if (turn == j) { flag[i] = false; while (turn == j)
                 ; /* do nothing */
             flag[i] = true;
} }
/* critical section */ turn = j;
flag[i] = false;
/* remainder section */ }

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