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

1 vote
1 answer
71 views

Prove that a set A is semi-decidable if and only if there is a polynomial time relation R(x,y)

I know if there is a decidable relation R(x,y) for x in A, then A is semi-decidable. But how can I prove the relation is polynomial time? For R(x,y), x is where M is a TM, y is the accepting configu …
John's user avatar
  • 131
2 votes
2 answers
300 views

Is this set semi-decidable? A set of all <M> that M is a TM halts on all input strings w suc...

$A$ is a set of all $\langle M \rangle$ that $M$ is a TM halting on all input strings $w$ such that $\lvert w \rvert \le q(M)$ where $q(M)$ is the number of states in $M$. Is $A$ semi-decidable? Is a …
John's user avatar
  • 131