Identify the languages generated by the following grammars and draw a derivation and parse tree a)...
Homework Answers
a) there can be many combinations of strings formed from the given grammar. we start with S,
S-> 0S1 -> 00A11 -> 001A11 -> 001111 (a string is generated with no terminals which can be produced) similarly, S-> 0A1-> 01A1-> 0111 (a string generated). S-> 0A1-> 01A1-> 011A1-> 0111A1-> 011111(a string generated). S-> 0S1-> 00S11-> 000S111-> 0000A1111-> 000011111
so the language generated could be written as L={011^n where n=1,2,3...| 0^n1^n+1 where n=2,3,4...|001111|...}
parse tree for one of the string S-> 0S1 -> 00A11 -> 001A11 ->001111 is:
b) to generate language we start with S, S-> 0S1-> 00A11-> 001011(string). S-> 0A1-> 01A01-> 011A001-> 01110001. S-> 0S1-> 00A11-> 001A011-> 00110011. Similarly many such strings could be formed.
L={001011 | 01110001 | 00110011|....}
parse tree for S-> 0S1-> 00A11-> 001A011-> 00110011:
Add Answer to:
Identify the languages generated by the following grammars and
draw a derivation and parse tree
a)...
Consider the following grammar G: S → 0S1 | SS | 10 Show a parse tree...
Consider the following grammar G: S → 0S1 | SS | 10 Show a parse tree produced by G for each of the following strings: 1. 010110 2. 00101101
) Using the following grammar, show a parse tree and a leftmost derivation for the following...
) Using the following grammar, show a parse tree and a leftmost derivation for the following sentence (make sure you do not omit parentheses in your derivation): Grammar <assign> → <id> = <expr> <id> → A | B | C <expr> → <expr> + <term> | <term> <term> → <term> * <factor> | <factor> <factor> → (<expr>) | <id> Derive C = (A+B)*(C+A)*(C+B)
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):
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
- 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>
6. (8 pts) Using grammar below show a Parse tree and leftmost derivation for a). A...
6. (8 pts) Using grammar below show a Parse tree and leftmost derivation for a). A = A * (B+C) <assign> à<id> = <expr> <id> à A | B|C <expr>à <expr> + <term> | <term> <term> à <term> * <factor> |<factor> <factor> à ( <expr> ) |<id>
For both of the following languages, provide a grammar that generates it, an intuitive explanatio...
Please actually answer it
For both of the following languages, provide a grammar that generates it, an intuitive explanation why this grammar generates this language, and a graphical representation of a push-down automaton that recognizes this language. (a) The language of properly nested sets of parentheses over the alphabet G)). Note that the string (COO))) belongs to this language, while the string (O) () does not because the third closing parenthesis does not have a matching opening parenthesis. Provide a...
3. Given the following grammar and the right sentential forms, draw a parse tree and show...
3. Given the following grammar and the right sentential forms, draw a parse tree and show the phrases and simple phrases, as well as the handle. <S> <A> <B> →. a <A> b b <B> <A> → a b a <A> <B> → a <B> b (a) a a <A> a bb (b) b <B> a <A> b
Formal Languages and Automata Theory Q2. Give context-free grammars that generate the following language: { w...
Formal Languages and Automata Theory
Q2. Give context-free grammars that generate the following language: { w є {0, 1} | w contains at least three 1's)
Give context-free grammars for the following languages: (b) {w € {a,b}* : na(w) # 2n6(w)}
Give context-free grammars for the following languages: (b) {w € {a,b}* : na(w) # 2n6(w)}
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):
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
- 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>
Please actually answer it
For both of the following languages, provide a grammar that generates it, an intuitive explanation why this grammar generates this language, and a graphical representation of a push-down automaton that recognizes this language. (a) The language of properly nested sets of parentheses over the alphabet G)). Note that the string (COO))) belongs to this language, while the string (O) () does not because the third closing parenthesis does not have a matching opening parenthesis. Provide a...
3. Given the following grammar and the right sentential forms, draw a parse tree and show the phrases and simple phrases, as well as the handle. <S> <A> <B> →. a <A> b b <B> <A> → a b a <A> <B> → a <B> b (a) a a <A> a bb (b) b <B> a <A> b
Formal Languages and Automata Theory
Q2. Give context-free grammars that generate the following language: { w є {0, 1} | w contains at least three 1's)
Give context-free grammars for the following languages: (b) {w € {a,b}* : na(w) # 2n6(w)}
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