Simplification of context-free grammars Eliminate all l-productions from S -> ABCd A -> BC B ->bB | λ C -> λ Eliminate all unit-productions from S -> ABa | B A -> aA | a |B B -> b | bB | A Eliminate all useless productions from S -> AB | a A -> BC | b B -> aB | C C -> aC | BB

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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    1. Simplification of context-free grammars
    • Eliminate all l-productions from

    S -> ABCd

    A -> BC

    B ->bB | λ

    C -> λ

    • Eliminate all unit-productions from

    S -> ABa | B

    A -> aA | a |B

    B -> b | bB | A

    • Eliminate all useless productions from

    S -> AB | a

    A -> BC | b

    B -> aB | C

    C -> aC | BB

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