Questions tagged [probabilistic-turing-machines]

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Probabilistic Turing Machine Transition Relation vs Transition Function

In wiki, PTM are defined with two transition functions and a fair coin toss which determines which one is used at each step. One can also define them, much like NDTM, using a transition relation where ...
55 views

A synctactic property of the complexity class P

In these lecture notes the authors mentions that P is a syntactic complexity class, as we can find a decidable set of encodings for all polynomial time Turing machines. Of course, given a ...
26 views

Probabilistic Turing machine - Probability that the head has moved k steps to the right on the work tape

I have a PTM with following transition: $\delta(Z_0, \square , 0) = \delta(Z_0, \square , L, R)$, $\delta(Z_0, \square , 1) = \delta(Z_0, \square , R, R)$ Suppose that this PTM executes n steps. ...
268 views

why does $A≤_p \#SAT$ if $A \in BPP$

hello and thank you for helping me understand the following: I really don't understand this, why if language $A \in BPP$ then $A≤_P\#SAT$? language A is in BPP class, if for a probabilistic turing ...