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In each of the following, find a Chomsky Normal Form (CNF) grammar equivalent to the given...
Convert the following grammar into Chomsky Normal Form (CNF): S → aS | A | bS...
Convert the following grammar into Chomsky Normal Form
(CNF):
S → aS | A
| bS
A → aA |
bBa | aAa
B → bb |
bBb
Note: you need to first simplify the grammar ( remove any
λ -
productions, unit productions, and useless productions), and then
convert the simplified grammar to CNF.
Convert the following grammar into Chomsky Normal Form (CNF): SaSAS A → AbBa| aAa B+bb | bBb Note: you need to first simplify the grammar...
Conversions to CNF: Textbook problems: 7.1.1 - 7.1.4 (p. 275) 7.1.1) Find a grammar equivalent to...
Conversions to CNF: Textbook problems: 7.1.1 - 7.1.4 (p. 275) 7.1.1) Find a grammar equivalent to the following, but with no useless symbols: S → AB | CA A → a B → BC | AB C → aB | b 7.1.2) Begin with the following grammar, then eliminate ε-productions, eliminate unit productions, eliminate useless symbols, then put the grammar into CNF. S → ASB | ε A → aAS | a B → SbS | A | bb 7.1.3)...
Convert the following context free grammar G to Chomsky normal form. G:S → AB A →...
Convert the following context free grammar G to Chomsky normal form. G:S → AB A → aAb|B2 B → BA2
When is the grammar said to be in Chomsky Normal Form (CNF). Convert the given grammar...
When is the grammar said to be in Chomsky Normal Form (CNF). Convert the given grammar to CNF by showing step by step. { S->VP VP->Verb VP-> Verb VP NP->N NP PP Verb->climb|lift|read N-> Tom | apple}
Given the following ambiguous context free grammar (3x20) 1. (a) Explain why the grammar is ambiguous...
Given the following ambiguous context free grammar (3x20) 1. (a) Explain why the grammar is ambiguous (b) Find an equivalent unambiguous context-free grammar. (c) Give the unique leftmost derivation and derivation tree for the string s generated from the unambiguous grammar above. 2. Construct non-deterministic pushdown automata to accept the following language (20) 3. Convert the following CFG into an cquivalent CFG in Chomsky Normal Form (CNF) (20)-
2. Convert the following grammar to Chomsky Normal Form (CNF). R is the start symbol and...
2. Convert the following grammar to Chomsky Normal Form (CNF). R is the start symbol and the lower case letters are terminals. The upper case letters are variables/non-terminals. R->XRXS S->a TbbTa T->XTXI X. € X->ab
Theory of Computation 7. Write down the Chomsky Normal Form for the context-free language de- fined...
Theory of Computation
7. Write down the Chomsky Normal Form for the context-free language de- fined by the productions: S bAļaB. A bAA laSla, and B aBB bS b, where S, A, B are nonterminal symbols and a, b are terminal symbol 8. For the context-free grammar Ģ -(X, T, R, S) with X (A, B. C, a, b), T a, b and productions R: SAB |BC, ABAa, BCClb,C AB la, check by applying the CYK Theorem whether the string...
1. [10 Points Convert the following grammars into Chomsky Normal Form. (a) S → AaB |...
1. [10 Points Convert the following grammars into Chomsky Normal Form. (a) S → AaB | BAC A AaB | BA B → ABaC BACC C → Cb CaА | 6C (b) S XSX a Ab | bAa A + XAXX X + ab
2. To find a Chomsky normal form for the following grammar (10 points) STR T -...
2. To find a Chomsky normal form for the following grammar (10 points) STR T - aTbab R RIA first note that we don't need to add a new production S' Sto the grammar because s does not appear on the right hand side of any productions in the grammar. Next, since we have a A-production in the grammar R - A, so we use the technique in question #6 to remove the production. Afterward the grammar becomes SLT TR...
4. Convert the following grammar to Chomsky Normal Form: SabAB A ABC B BA|A|
4. Convert the following grammar to Chomsky Normal Form: SabAB A ABC B BA|A|
Convert the following grammar into Chomsky Normal Form
(CNF):
S → aS | A
| bS
A → aA |
bBa | aAa
B → bb |
bBb
Note: you need to first simplify the grammar ( remove any
λ -
productions, unit productions, and useless productions), and then
convert the simplified grammar to CNF.
Convert the following grammar into Chomsky Normal Form (CNF): SaSAS A → AbBa| aAa B+bb | bBb Note: you need to first simplify the grammar...
Convert the following context free grammar G to Chomsky normal form. G:S → AB A → aAb|B2 B → BA2
Given the following ambiguous context free grammar (3x20) 1. (a) Explain why the grammar is ambiguous (b) Find an equivalent unambiguous context-free grammar. (c) Give the unique leftmost derivation and derivation tree for the string s generated from the unambiguous grammar above. 2. Construct non-deterministic pushdown automata to accept the following language (20) 3. Convert the following CFG into an cquivalent CFG in Chomsky Normal Form (CNF) (20)-
2. Convert the following grammar to Chomsky Normal Form (CNF). R is the start symbol and the lower case letters are terminals. The upper case letters are variables/non-terminals. R->XRXS S->a TbbTa T->XTXI X. € X->ab
Theory of Computation
7. Write down the Chomsky Normal Form for the context-free language de- fined by the productions: S bAļaB. A bAA laSla, and B aBB bS b, where S, A, B are nonterminal symbols and a, b are terminal symbol 8. For the context-free grammar Ģ -(X, T, R, S) with X (A, B. C, a, b), T a, b and productions R: SAB |BC, ABAa, BCClb,C AB la, check by applying the CYK Theorem whether the string...
1. [10 Points Convert the following grammars into Chomsky Normal Form. (a) S → AaB | BAC A AaB | BA B → ABaC BACC C → Cb CaА | 6C (b) S XSX a Ab | bAa A + XAXX X + ab
2. To find a Chomsky normal form for the following grammar (10 points) STR T - aTbab R RIA first note that we don't need to add a new production S' Sto the grammar because s does not appear on the right hand side of any productions in the grammar. Next, since we have a A-production in the grammar R - A, so we use the technique in question #6 to remove the production. Afterward the grammar becomes SLT TR...
4. Convert the following grammar to Chomsky Normal Form: SabAB A ABC B BA|A|
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