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, Problem 26E

Explanation of Solution

Justification:

  • The given grammar is not LL(1) grammar because of the production rule idPREDICT(exprid:=expr)PREDICT(exprtermterm_tail).
  • Its minor in the PREDICT set of the former productions.
  • It is in PREDICT set of the latter production because the term belongs to factor which implies to id.
  • To make it LL (1), one need to factor out the id. That is the simplest way to do this is to enlarge the language generated by the grammar.

expr term expr_tailexpr_tail := expr term_tailterm_tail + term term_tail | 

      term  factor factor_tail factor tail  * factor factor tail | factor  ( expr ) | id

  • The semantic checks would be required to ensure that the fragments to the left of a sign := is in id

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