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recursively enumerable

GATE CSE & IT · Turing Machines & Computability · 1990-2023

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12
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Hopcroft-Ullman / Dragon Book

Automata, languages, parsing, syntax-directed translation

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2023 PYQ

Which of the following statements is/are CORRECT?

easyanswer keybasic explanation
2022 PYQ

Which of the following statements is/are TRUE?

mediumanswer keybasic explanation
2019 PYQ

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...

mediumanswer keybasic explanation
2018 PYQ

The set of all recursively enumerable languages is

easyanswer keybasic explanation
2016 PYQ

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,$...

mediumanswer key
2015 PYQ

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...

mediumanswer key
2014 PYQ

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...

mediumanswer key
2014 PYQ

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?

mediumanswer key
2014 PYQ

Let $$L$$ be a language and $$\overline L $$ be its complement. Which one of the following is NOT a viable possibility?

easyanswer key
2013 PYQ

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...

mediumanswer key
2008 PYQ

If $$L$$ and $$\overline L $$ are recursively enumerable then $$L$$ is

easyanswer key
2008 PYQ

Which of the following statement is false?

easyanswer key
2003 PYQ

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 >...

hardanswer key
2002 PYQ

Which of the following is true?

easyanswer key
1990 PYQ

State whether the following statement is TRUE / FALSE. A is recursive if both a and its complement are accepted by Turing Machine M accepts.

easyanswer key