1. Define syntax and semantics. 2. Explain briefly the three methods of describing semantics. 3. Using the following grammar show a parse tree and a leftmost derivation for the statement: x = x * (y + (z * x)) Grammar: → = %3D - x | y |z + | * |( ) |

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1. Define syntax and semantics.
2. Explain briefly the three methods of describing semantics.
3. Using the following grammar show a parse tree and a leftmost
derivation for the statement:
X = x *
(у + (z * х))
Grammar:
<assign>
<var> = <expr>
<var>
- x | y | z
<expr>
<var> + <expr>
| <var> *
<expr>
|( <expr> )
| <var>
4. Using the following grammar show a parse tree and a leftmost
derivation for the statement:
A = ( A + B ) * C
Grammar:
<assign>
+ <var> = <expr>
<var>
- A | B | C
<еxpr>
<expr> + <term>
| <term>
<term>
- <term> * <factor>
| <factor>
( <expr> )
<factor>
| <var>
Transcribed Image Text:1. Define syntax and semantics. 2. Explain briefly the three methods of describing semantics. 3. Using the following grammar show a parse tree and a leftmost derivation for the statement: X = x * (у + (z * х)) Grammar: <assign> <var> = <expr> <var> - x | y | z <expr> <var> + <expr> | <var> * <expr> |( <expr> ) | <var> 4. Using the following grammar show a parse tree and a leftmost derivation for the statement: A = ( A + B ) * C Grammar: <assign> + <var> = <expr> <var> - A | B | C <еxpr> <expr> + <term> | <term> <term> - <term> * <factor> | <factor> ( <expr> ) <factor> | <var>
5. Prove that the following grammar is ambiguous:
< start > → <A>
<A> → <A> + <A> [ <id>
<id> → a | b| C
6. Describe, in English, the language defined by the following grammar:
<start> - <A> <B> <C>
<А> — а <А> | а
<B> → b <B>| b
<C> → c <C> | C
7. Which of the following sentences are in the language generated by this
grammar?
а.
baab
b.
bbbab
С.
bbaaaaa
d.
bbaab
8. Write a grammar for the language consisting of strings that have n
copies of the letter a followed by twice the number of copies of the
letter b, where n > 0. For example, the strings abb, aaabbbbbb, and
aaaabbbbbbbb are in the language but ab, aabb, ba, and aaabb are not.
Transcribed Image Text:5. Prove that the following grammar is ambiguous: < start > → <A> <A> → <A> + <A> [ <id> <id> → a | b| C 6. Describe, in English, the language defined by the following grammar: <start> - <A> <B> <C> <А> — а <А> | а <B> → b <B>| b <C> → c <C> | C 7. Which of the following sentences are in the language generated by this grammar? а. baab b. bbbab С. bbaaaaa d. bbaab 8. Write a grammar for the language consisting of strings that have n copies of the letter a followed by twice the number of copies of the letter b, where n > 0. For example, the strings abb, aaabbbbbb, and aaaabbbbbbbb are in the language but ab, aabb, ba, and aaabb are not.
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