recursively enumerable
GATE CSE & IT · Turing Machines & Computability · 1990-2023
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Hopcroft-Ullman / Dragon Book
Automata, languages, parsing, syntax-directed translation
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All concepts →Which of the following statements is/are CORRECT?
Which of the following statements is/are TRUE?
Consider the following sets : S1. Set of all recursively enumerable languages over the alphabet $\{0,1\}$ S2. Set of all syntactically valid C programs S3. Set of all languages ove...
The set of all recursively enumerable languages is
Let $$X$$ be a recursive language and $$Y$$ be a recursively enumerable but not recursive language. Let $$W$$ and $$Z$$ be two languages such that $$\overline Y $$ reduces to $$W,$...
For any two languages L 1 and L 2 such that L 1 is context-free and L 2 is recursively enumerable but not recursive, which of the following is/are necessarily true? I. $${\overline...
Let $$ < M > $$ be the encoding of a Turing machine as a string over $$\sum { = \left\{ {0,1} \right\}.} $$ Let $$L = \left\{ { < M > \left| M \right.} \right.$$ is a Turing machin...
Let $$A\,\,{ \le _m}\,\,B$$ denotes that language $$A$$ is mapping reducible (also known as many-to-one reducible) to language $$B.$$ Which one of the following is FALSE?
Let $$L$$ be a language and $$\overline L $$ be its complement. Which one of the following is NOT a viable possibility?
Which of the following statements is/are FALSE ? $$1.$$ For every non-deterministic Turing machine, there exists an equivalent deterministic Turing machine $$2.$$ Turing recognizab...
If $$L$$ and $$\overline L $$ are recursively enumerable then $$L$$ is
Which of the following statement is false?
Define Languages $${L_0}$$ and $${L_1}$$ as follows $${L_0} = \left\{ { < M,\,w,\,0 > \left| {M\,\,} \right.} \right.$$ halts on $$\left. w \right\}$$ $${L_1} = \left\{ { < M,w,1 >...
Which of the following is true?
State whether the following statement is TRUE / FALSE. A is recursive if both a and its complement are accepted by Turing Machine M accepts.