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Is the difference between decidable and recognizable languages in theoretical computer science clear to you?
Yes, the difference between decidable and recognizable languages in theoretical computer science is clear to me. Decidable languages can be recognized by a Turing machine that always halts and gives a definite answer, while recognizable languages can be recognized by a Turing machine that may not always halt, but will give a positive answer for strings in the language.
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What are some examples of undecidable languages and how are they different from decidable languages?
Undecidable languages are languages for which there is no algorithm that can determine whether a given input string is in the language or not. Examples of undecidable languages include the Halting Problem and the Post Correspondence Problem. Decidable languages, on the other hand, are languages for which there exists an algorithm that can determine whether a given input string is in the language or not. Examples of decidable languages include regular languages and context-free languages. The key difference between undecidable and decidable languages is that decidable languages have algorithms that can always provide a definite answer, while undecidable languages do not have such algorithms.
What are the closure properties of decidable languages?
Decidable languages are closed under union, intersection, concatenation, and Kleene star operations. This means that if two languages are decidable, their union, intersection, concatenation, and Kleene star are also decidable.
Are decidable languages closed under concatenation?
Yes, decidable languages are closed under concatenation.
Are decidable languages closed under intersection?
Yes, decidable languages are closed under intersection.
Are decidable languages closed under any operations?
Yes, decidable languages are closed under operations such as union, intersection, concatenation, and complementation. This means that if a language is decidable, performing these operations on it will result in another decidable language.
Q.If a language is decidable and Turing recognizable then prove that it is also co Turing?
Turing Decidable Languages are both Turing Rec and Turing Co-Recognizable. If a Language is Not Turing Decidable, either it, or it's complement, must be not Recognizable.
What are some examples of undecidable languages and how are they different from decidable languages?
Undecidable languages are languages for which there is no algorithm that can determine whether a given input string is in the language or not. Examples of undecidable languages include the Halting Problem and the Post Correspondence Problem. Decidable languages, on the other hand, are languages for which there exists an algorithm that can determine whether a given input string is in the language or not. Examples of decidable languages include regular languages and context-free languages. The key difference between undecidable and decidable languages is that decidable languages have algorithms that can always provide a definite answer, while undecidable languages do not have such algorithms.
What are the closure properties of decidable languages?
Decidable languages are closed under union, intersection, concatenation, and Kleene star operations. This means that if two languages are decidable, their union, intersection, concatenation, and Kleene star are also decidable.
Are decidable languages closed under concatenation?
Yes, decidable languages are closed under concatenation.
Are decidable languages closed under intersection?
Yes, decidable languages are closed under intersection.
Are decidable languages closed under any operations?
Yes, decidable languages are closed under operations such as union, intersection, concatenation, and complementation. This means that if a language is decidable, performing these operations on it will result in another decidable language.
Are recognizable languages closed under concatenation?
Yes, recognizable languages are closed under concatenation.
Is the class of recognizable languages closed under complementation?
No, the class of recognizable languages is not closed under complementation.
What are some examples of Turing recognizable languages and how do they differ from other types of languages?
Turing recognizable languages are those that can be accepted by a Turing machine, a theoretical model of computation. Examples include regular languages, context-free languages, and recursively enumerable languages. These languages differ from others in terms of their computational complexity and the types of machines that can recognize them. Regular languages are the simplest and can be recognized by finite automata, while context-free languages require pushdown automata. Recursively enumerable languages are the most complex and can be recognized by Turing machines.
Are Turing recognizable languages closed under concatenation?
Yes, Turing recognizable languages are closed under concatenation.
Are Turing recognizable languages closed under intersection?
Yes, Turing recognizable languages are closed under intersection.
Are Turing recognizable languages closed under union?
Yes, Turing recognizable languages are closed under union.
