Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Let G = (V, T, S, P) be any context-free gram...
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Let G = (V, T, S, P) be any context-free grammar without any λ-productions or unit productions. Let K be the maximum number of symbols on the right of any production in P. The maximum number of production rules for any equivalent grammar in Chomsky normal form is given by:
Where |⋅| denotes the cardinality of the set.
Where |⋅| denotes the cardinality of the set.
- a)(K - 1)|P| + |T| -1
- b)(K - 1)|P| + |T|
- c)K |P| + |T| -1
- d)K |P| + |T|
Correct answer is option 'B'. Can you explain this answer?
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Let G = (V, T, S, P) be any context-free grammar without any λ-...
Restrictions on the production rules.
1. V is a finite set of variables or non-terminals.
2. T is a finite set of terminals.
3. S is the start symbol, which is a member of V.
4. P is a finite set of production rules, where each rule has the form A -> α, where A is a variable in V, and α is a string of variables and terminals in (V ∪ T)*.
Here, V represents the set of variables or non-terminals in the grammar, which are placeholders that can be replaced by strings of terminals and variables. T represents the set of terminals, which are the actual symbols in the language defined by the grammar. S is the start symbol, which is the initial variable or non-terminal from which the language can be derived. P represents the set of production rules, which define how variables can be replaced by other variables and terminals.
A context-free grammar without any restrictions on the production rules means that any variable can be replaced by any string of terminals and variables. This allows for more flexibility in defining the language and generating strings that belong to the language. However, it also means that the grammar might generate ambiguous or infinite languages, which can make parsing and understanding the language more difficult.
1. V is a finite set of variables or non-terminals.
2. T is a finite set of terminals.
3. S is the start symbol, which is a member of V.
4. P is a finite set of production rules, where each rule has the form A -> α, where A is a variable in V, and α is a string of variables and terminals in (V ∪ T)*.
Here, V represents the set of variables or non-terminals in the grammar, which are placeholders that can be replaced by strings of terminals and variables. T represents the set of terminals, which are the actual symbols in the language defined by the grammar. S is the start symbol, which is the initial variable or non-terminal from which the language can be derived. P represents the set of production rules, which define how variables can be replaced by other variables and terminals.
A context-free grammar without any restrictions on the production rules means that any variable can be replaced by any string of terminals and variables. This allows for more flexibility in defining the language and generating strings that belong to the language. However, it also means that the grammar might generate ambiguous or infinite languages, which can make parsing and understanding the language more difficult.
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Let G = (V, T, S, P) be any context-free grammar without any λ-...
Concept:
Context free grammar : A grammar G = (V, T ,S, P) is said to be context- free if all productions in P have the form A -> x where A ϵ V and x ϵ (V U T)*.
If context free grammar G = (V, T, S, P) is without λ-productions or unit productions.
K = maximum number of symbols on right side of production.
The maximum number of production rules for equivalent grammar in CNF:
(K - 1)|P| + |T|
A context free grammar is in CNF (Chomsky normal form) if it satisfies these conditions:
1) Should not contains null or unit productions.
2) A non-terminal symbol generating two non-terminals. For example, S -> AB
3) A non- terminal generating a terminal. Example: S -> a
Context free grammar : A grammar G = (V, T ,S, P) is said to be context- free if all productions in P have the form A -> x where A ϵ V and x ϵ (V U T)*.
If context free grammar G = (V, T, S, P) is without λ-productions or unit productions.
K = maximum number of symbols on right side of production.
The maximum number of production rules for equivalent grammar in CNF:
(K - 1)|P| + |T|
A context free grammar is in CNF (Chomsky normal form) if it satisfies these conditions:
1) Should not contains null or unit productions.
2) A non-terminal symbol generating two non-terminals. For example, S -> AB
3) A non- terminal generating a terminal. Example: S -> a
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Let G = (V, T, S, P) be any context-free grammar without any λ-productions or unit productions. Let K be the maximum number of symbols on the right of any production in P. The maximum number of production rules for any equivalent grammar in Chomsky normal form is given by:Where |⋅| denotes the cardinality of the set.a)(K - 1)|P| + |T| -1b)(K - 1)|P| + |T|c)K |P| + |T| -1d)K |P| + |T|Correct answer is option 'B'. Can you explain this answer?
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Let G = (V, T, S, P) be any context-free grammar without any λ-productions or unit productions. Let K be the maximum number of symbols on the right of any production in P. The maximum number of production rules for any equivalent grammar in Chomsky normal form is given by:Where |⋅| denotes the cardinality of the set.a)(K - 1)|P| + |T| -1b)(K - 1)|P| + |T|c)K |P| + |T| -1d)K |P| + |T|Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Let G = (V, T, S, P) be any context-free grammar without any λ-productions or unit productions. Let K be the maximum number of symbols on the right of any production in P. The maximum number of production rules for any equivalent grammar in Chomsky normal form is given by:Where |⋅| denotes the cardinality of the set.a)(K - 1)|P| + |T| -1b)(K - 1)|P| + |T|c)K |P| + |T| -1d)K |P| + |T|Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let G = (V, T, S, P) be any context-free grammar without any λ-productions or unit productions. Let K be the maximum number of symbols on the right of any production in P. The maximum number of production rules for any equivalent grammar in Chomsky normal form is given by:Where |⋅| denotes the cardinality of the set.a)(K - 1)|P| + |T| -1b)(K - 1)|P| + |T|c)K |P| + |T| -1d)K |P| + |T|Correct answer is option 'B'. Can you explain this answer?.
Let G = (V, T, S, P) be any context-free grammar without any λ-productions or unit productions. Let K be the maximum number of symbols on the right of any production in P. The maximum number of production rules for any equivalent grammar in Chomsky normal form is given by:Where |⋅| denotes the cardinality of the set.a)(K - 1)|P| + |T| -1b)(K - 1)|P| + |T|c)K |P| + |T| -1d)K |P| + |T|Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Let G = (V, T, S, P) be any context-free grammar without any λ-productions or unit productions. Let K be the maximum number of symbols on the right of any production in P. The maximum number of production rules for any equivalent grammar in Chomsky normal form is given by:Where |⋅| denotes the cardinality of the set.a)(K - 1)|P| + |T| -1b)(K - 1)|P| + |T|c)K |P| + |T| -1d)K |P| + |T|Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let G = (V, T, S, P) be any context-free grammar without any λ-productions or unit productions. Let K be the maximum number of symbols on the right of any production in P. The maximum number of production rules for any equivalent grammar in Chomsky normal form is given by:Where |⋅| denotes the cardinality of the set.a)(K - 1)|P| + |T| -1b)(K - 1)|P| + |T|c)K |P| + |T| -1d)K |P| + |T|Correct answer is option 'B'. Can you explain this answer?.
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