In this problem you are provided with a CFG/BNF and you are to determine which of the following strings are inside of the described grammar G defined by G={V,E,R,S} where V={ } E={ a, b, c, +, -, *, /, ()} R=[ --> + | - | --> * | / | --> ( ) | -->a |b|c ]

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
Section: Chapter Questions
Problem 1PE
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In this problem you are provided with a CFG/BNF and you are to determine which of
the following strings are inside of the described grammar G defined by G={V,E,R,S}
where
V={ <expr> <term> <fact> <id> }
E={ a, b, c, +, -, *, /, () }
R=[
<expr> --> <term> + <expr> <term> - <expr> | <term>
<term> --> <fact> * <term> | <fact> / <term> | <fact>
<fact>--> (<expr> ) | <id>
<id> --> a | b | c
]
S=<expr>
0 (b)
a
Oa+a*(a)
Oa(b)
O-b*a/b
(b+b)
Oa (b+d)-c/a
Oa+c+b+a+c-a
a +- c
Transcribed Image Text:In this problem you are provided with a CFG/BNF and you are to determine which of the following strings are inside of the described grammar G defined by G={V,E,R,S} where V={ <expr> <term> <fact> <id> } E={ a, b, c, +, -, *, /, () } R=[ <expr> --> <term> + <expr> <term> - <expr> | <term> <term> --> <fact> * <term> | <fact> / <term> | <fact> <fact>--> (<expr> ) | <id> <id> --> a | b | c ] S=<expr> 0 (b) a Oa+a*(a) Oa(b) O-b*a/b (b+b) Oa (b+d)-c/a Oa+c+b+a+c-a a +- c
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