Programming Language Pragmatics, Fourth Edition
Programming Language Pragmatics, Fourth Edition
4th Edition
ISBN: 9780124104099
Author: Michael L. Scott
Publisher: Elsevier Science
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Chapter 2.3, Problem 35CYU

Explanation of Solution

Complete construction of FIRST and FOLLOW sets algorithm:

FIRST set algorithm:

  • Any terminal symbol X, the FIRST() grammar will be derived as follows. x referred as production of X.

    FIRST(X) ={x}.

  • Any non-terminal symbol X, follows the FIRST() grammar by using the production rules X→ x1,x2…xn. This can be return as follows.

    FIRST(X)=FIRST(x1)∪ FIRST(x2)∪…∪FIRST(xn).

  • The FIRST() set can also uses R.H.S form to compute for both terminal and non-terminal set.

    FIRST(X1 ) in FIRST(X1, X2,…Xn).

  • In this situation, the X1 is derive from all the elements in X1, X2,…Xn.

FOLLOW set algorithm:

  • FOLLOW() set is used when the current non-terminal can derive.
    • S is the start symbol, so one can use FOLLOW(S) to start the FOLLOW() grammar.
    • “⊥” is symbol used to represent the end of input...

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