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Questions about Turing machines, a theoretical model of mechanical computation capable of simulating any computer program.

2 votes
1 answer
2k views

Does a turing machine halt with input left on tape?

is the string aabb in the language of this Turing machine ?? as upon reading aa it goes to the final state but upon b there is no transition defined so won't it result in a dead configuration?
venkat's user avatar
  • 189
0 votes
1 answer
217 views

Computability of a function and decidability [closed]

Let $A$ and $B$ be finite alphabets and let $\#$ be a symbol outside both $A$ and $B$. Let $f$ be a total function from $A^∗$ to $B^∗$. We say $f$ is computable if there exists a Turing machine $M$ wh …
venkat's user avatar
  • 189
1 vote
2 answers
103 views

Classification of the complement of a language

$L = \{ \langle M \rangle \mid M \text{ accepts two strings of different lengths} \}$. What is complement of this language? my attempt: the complement is: $M$ accepts no two strings of same lengt …
venkat's user avatar
  • 189
0 votes
0 answers
81 views

Decidability of a given language

$L_1=\{ ⟨M⟩ ∣M$ takes at least 2016 steps on some input$\}$ the answer says $L_1$ is recursive. I am stuck at one point and i am wasting my time on it here for $L_1$ if we are given a set of to see …
venkat's user avatar
  • 189
0 votes
2 answers
1k views

What does "effective enumeration" in Turing machines mean?

what is meant by EFFECTIVE ENUMERATION i have comes across this word when I was reading about enumerators for Turing machines is it same as LEXICOGRAPHIC ORDER? so effective enumeration is possible f …
venkat's user avatar
  • 189
-2 votes
1 answer
2k views

complement of a NON RECURSIVELY ENUMERABLE LANGUAGE

Define languages L0 and L1 as follows : L0={⟨M,w,0⟩∣M halts on w} L1={⟨M,w,1⟩∣M does not halt on w} Here ⟨M,w,i⟩is a triplet, whose first component M is an encoding of a Turing Machine, second …
venkat's user avatar
  • 189