Homework Answers
let's derive two different left-most derivations to produce string "a + b + c" 1) <S> -> <X> -> <X> + <X> -> <id> + <X> -> a + <X> -> a + <X> + <X> -> a + <id> + <X> -> a + b + <X> -> a + b + <id> -> a + b + c 2) <S> -> <X> -> <X> + <X> -> <X> + <X> + <X> -> <id> + <X> + <X> -> a + <X> + <X> -> a + <id> + <X> -> a + b + <X> -> a + b + <id> -> a + b + c Since there are two different left most derivations exists, to define a single string. This language is ambiguous.
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Show that this grammar is ambiguous for the string a+b+c: <S> - <x> <X> - <x>+...
Consider a grammar: S --> | as SS SSb Sbs, Where T={a,b} V={S}. a. Show that...
Consider a grammar: S --> | as SS SSb Sbs, Where T={a,b} V={S}. a. Show that the grammar is ambiguous. b. What is the language generated by this grammar?
Consider a grammar: S --> | aS | SS SSb | Sbs, Where T={a,b} V={S }....
Consider a grammar: S --> | aS | SS SSb | Sbs, Where T={a,b} V={S }. Show that the grammar is ambiguous. What is the language generated by this grammar?
3. Using the grammar below, show a parse tree and a leftmost derivation for the statement....
3. Using the grammar below, show a parse tree and a leftmost derivation for the statement. A = ( A + (B)) * C assign <idxpr expr>? <expr> <term> term <term factor factor (<expr>) l <term I <factor l <id> 4. Prove that the following grammar is ambiguous (Give sentence that has two parse trees, and show the parse trees):
- Using the grammar in Example 3.2, show a parse tree and a leftmost derivation for...
- Using the grammar in Example 3.2, show a parse tree and a leftmost derivation for the following statement: B = C * (A * (B + C)). EXAMPLE 3.2 A Grammar for Simple Assignment Statements <assign> → <id> = <expr> <id> → A | B | C <expr> → <id> + <expr> | <id> * <expr> | ( <expr> ) | <id>
Use the grammar given below and show a parse tree and a leftmost derivation for each...
Use the grammar given below and show a parse tree and a leftmost
derivation for each of
the following statements.
1. A = A * (B + (C * A))
2. B = C * (A * C + B)
3. A = A * (B + (C))
<assign> → <id> <expr> = <expr> → <id> + <expr> kid<expr> <expr>) ids
1) Using the grammar in Example 3.2, show a completed parse tree for each of the...
1) Using the grammar in Example 3.2, show a completed
parse tree for each of the following statements: a) A = A * (B + (C
* A)) b) A = A * (B + (C))
2) Using the original grammar in Example 3.4, show a
completed parse tree for the statement: A = B + C + A
A Grammar for Simple Assignment Statements PLE 3.2 cassign><id> <expr> cidA BIC «ехpг» — sid + <ехpг» id cexpr> ( <expr>)...
QUESTION 22 Using the grammar, <S> <A> <S> + <A> + <A> | <id > <id...
QUESTION 22 Using the grammar, <S> <A> <S> + <A> + <A> | <id > <id > → abc which of the following is a word (or sentence) in the language: a + b + c a + b + c + a All of the other answers are words in the language. a + a + a
4. Let A = {x EZ|x>10) and B = {x EZ|X<-10). Is A U B countable?...
4. Let A = {x EZ|x>10) and B = {x EZ|X<-10). Is A U B countable? Why? 5. What is the term al of the sequence {a") if a" = 2-!?
Consider a grammar : S --> a | aS | bSS | SSb | SbS, Where...
Consider a grammar : S --> a | aS | bSS | SSb | SbS, Where
T={a,b} V={S }.
a. Show that the grammar is ambiguous.
b. What is the language generated by this grammar?
2. (20 points) Consider a grammar: S -->a | aS | SS | Ssb | Sbs, Where T={a,b} V={S}. a. Show that the grammar is ambiguous. b. What is the language generated by this grammar?
(5) Use induction to show that Ig(n) <n for all n > 1.
(5) Use induction to show that Ig(n) <n for all n > 1.
Consider a grammar: S --> | as SS SSb Sbs, Where T={a,b} V={S}. a. Show that the grammar is ambiguous. b. What is the language generated by this grammar?
Consider a grammar: S --> | aS | SS SSb | Sbs, Where T={a,b} V={S }. Show that the grammar is ambiguous. What is the language generated by this grammar?
3. Using the grammar below, show a parse tree and a leftmost derivation for the statement. A = ( A + (B)) * C assign <idxpr expr>? <expr> <term> term <term factor factor (<expr>) l <term I <factor l <id> 4. Prove that the following grammar is ambiguous (Give sentence that has two parse trees, and show the parse trees):
- Using the grammar in Example 3.2, show a parse tree and a leftmost derivation for the following statement: B = C * (A * (B + C)). EXAMPLE 3.2 A Grammar for Simple Assignment Statements <assign> → <id> = <expr> <id> → A | B | C <expr> → <id> + <expr> | <id> * <expr> | ( <expr> ) | <id>
Use the grammar given below and show a parse tree and a leftmost
derivation for each of
the following statements.
1. A = A * (B + (C * A))
2. B = C * (A * C + B)
3. A = A * (B + (C))
<assign> → <id> <expr> = <expr> → <id> + <expr> kid<expr> <expr>) ids
1) Using the grammar in Example 3.2, show a completed
parse tree for each of the following statements: a) A = A * (B + (C
* A)) b) A = A * (B + (C))
2) Using the original grammar in Example 3.4, show a
completed parse tree for the statement: A = B + C + A
A Grammar for Simple Assignment Statements PLE 3.2 cassign><id> <expr> cidA BIC «ехpг» — sid + <ехpг» id cexpr> ( <expr>)...
QUESTION 22 Using the grammar, <S> <A> <S> + <A> + <A> | <id > <id > → abc which of the following is a word (or sentence) in the language: a + b + c a + b + c + a All of the other answers are words in the language. a + a + a
4. Let A = {x EZ|x>10) and B = {x EZ|X<-10). Is A U B countable? Why? 5. What is the term al of the sequence {a") if a" = 2-!?
Consider a grammar : S --> a | aS | bSS | SSb | SbS, Where
T={a,b} V={S }.
a. Show that the grammar is ambiguous.
b. What is the language generated by this grammar?
2. (20 points) Consider a grammar: S -->a | aS | SS | Ssb | Sbs, Where T={a,b} V={S}. a. Show that the grammar is ambiguous. b. What is the language generated by this grammar?
(5) Use induction to show that Ig(n) <n for all n > 1.
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