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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| -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 its production rules. Here, V represents the set of variables (non-terminals), T represents the set of terminals, S represents the start symbol, and P represents the set of production rules.
A context-free grammar is a formal grammar in which every production rule has exactly one variable on the left-hand side. This means that the left-hand side of each production rule can be replaced by any sequence of variables and terminals.
The absence of any restrictions on the production rules means that they can be of any form and can have any number of variables and terminals on both sides. However, it is important to note that there are certain conventions and common practices followed in defining and using context-free grammars.
For example, in a context-free grammar, the start symbol S is usually a single variable and the production rules are typically defined in a specific format. Each production rule has a single variable on the left-hand side and a sequence of variables and terminals on the right-hand side. The production rules are used to generate valid strings in the language defined by the grammar.
In summary, a context-free grammar without any restrictions on its production rules can have any form of rules, but it is common to follow certain conventions and practices in order to define and use the grammar effectively.
A context-free grammar is a formal grammar in which every production rule has exactly one variable on the left-hand side. This means that the left-hand side of each production rule can be replaced by any sequence of variables and terminals.
The absence of any restrictions on the production rules means that they can be of any form and can have any number of variables and terminals on both sides. However, it is important to note that there are certain conventions and common practices followed in defining and using context-free grammars.
For example, in a context-free grammar, the start symbol S is usually a single variable and the production rules are typically defined in a specific format. Each production rule has a single variable on the left-hand side and a sequence of variables and terminals on the right-hand side. The production rules are used to generate valid strings in the language defined by the grammar.
In summary, a context-free grammar without any restrictions on its production rules can have any form of rules, but it is common to follow certain conventions and practices in order to define and use the grammar effectively.
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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)*.
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)*.
Explanation:
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
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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