Recursive languages are a subset of:a.Recursively enumerable languagesb.Context-sensitive languagesc.Context-free languagesd.Regular languages
Question
Recursive languages are a subset of:a.Recursively enumerable languagesb.Context-sensitive languagesc.Context-free languagesd.Regular languages
Solution
Recursive languages are a subset of Recursively enumerable languages.
Here's a step-by-step explanation:
-
Recursive languages: These are a type of formal language for which there exists a Turing machine that, when presented with any string over the alphabet of the language, halts and accepts if the string is in the language, and halts and rejects otherwise.
-
Recursively enumerable languages: These are a superset of recursive languages. A language is recursively enumerable (also known as semi-decidable, partially decidable, or Turing-recognizable) if there exists a Turing machine which will halt and accept for every string in the language. However, for strings not in the language, the Turing machine may either halt and reject, or run forever.
Therefore, every recursive language is also recursively enumerable, but the converse is not true. Hence, recursive languages are a subset of recursively enumerable languages.
On the other hand, context-sensitive languages, context-free languages, and regular languages are all subsets of recursive languages. Therefore, they are not the correct answer to your question.
Similar Questions
A language is recursive if:a.It is recognized by a Turing machine that halts on all inputs.b.It is generated by a context-free grammar.c.It is Turing complete.d.It is closed under concatenation.
In the Chomsky Hierarchy, which language class is known for its linear-bounded automaton equivalence?a.Regular languagesb.Context-sensitive languagesc.Recursively enumerable languagesd.Context-free languages
What is the pumping lemma used for in formal language theory?1 pointTo prove that a language is regularTo prove that a language is not context-freeTo prove that a language is context-sensitiveTo prove that a language is recursively enumerable
Select all true statements1 pointAll finite languages are regular.All infinite languages are regularAll infinite languages are context-free.All finite languages are context-free.
Which type of automaton is capable of recognizing context-sensitive languages?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.