S6 Si a:=0 S, b:=1 S3 c= a+1 S4 d:= b+a S5 e=d+ 1 S6 e=e+d S2 FIGURE 10 A precedence graph. EXAMPLE 8 Precedence Graphs and Concurrent Processing Computer programs can be executed more rapidly by executing certain statements concurrently. It is important not to execute a statement that requires results of statements not yet executed. The dependence of statements on previous statements can be represented by a directed graph. Each statement is represented by a vertex, and there is an edge from one statement to a second statement if the second statement cannot be executed before the first statement. This resulting graph is called a precedence graph. A computer program and its graph are displayed in Figure 10. For instance, the graph shows that statement S3 cannot be executed before statements S,, S2, and Są are executed.

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Question

Which statements must be executed before S6 is executed
in the program in Example 8?

S6
Si a:=0
S, b:=1
S3 c= a+1
S4
d:= b+a
S5 e=d+ 1
S6 e=e+d
S2
FIGURE 10 A precedence graph.
EXAMPLE 8 Precedence Graphs and Concurrent Processing Computer programs can be executed more
rapidly by executing certain statements concurrently. It is important not to execute a statement
that requires results of statements not yet executed. The dependence of statements on previous
statements can be represented by a directed graph. Each statement is represented by a vertex,
and there is an edge from one statement to a second statement if the second statement cannot
be executed before the first statement. This resulting graph is called a precedence graph. A
computer program and its graph are displayed in Figure 10. For instance, the graph shows that
statement S3 cannot be executed before statements S,, S2, and Są are executed.
Transcribed Image Text:S6 Si a:=0 S, b:=1 S3 c= a+1 S4 d:= b+a S5 e=d+ 1 S6 e=e+d S2 FIGURE 10 A precedence graph. EXAMPLE 8 Precedence Graphs and Concurrent Processing Computer programs can be executed more rapidly by executing certain statements concurrently. It is important not to execute a statement that requires results of statements not yet executed. The dependence of statements on previous statements can be represented by a directed graph. Each statement is represented by a vertex, and there is an edge from one statement to a second statement if the second statement cannot be executed before the first statement. This resulting graph is called a precedence graph. A computer program and its graph are displayed in Figure 10. For instance, the graph shows that statement S3 cannot be executed before statements S,, S2, and Są are executed.
Expert Solution
Step 1

As per the given question, we need to find which statements must be executed before S6 is executed
in the program.

S6 is e := c+d

That is e in S6 depends on c and d for its execution.

S3 gives c. But c in S3 depends on a in S1.

S4 gives d. But d in S4 depends on a in S1 and b in S2.

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