# Tag Info

## New answers tagged oracle-machines

2

(For the below, I referred extensively to this github repo as well as private communication with @aozgaa) Languages can be represented as infinite-length bitstrings (ILB). We will use the two interchangeably. We will also represent strings meant to be inputs to TMs as integers, where a 1 bit in position $w$ in an ILB $A$ means that the $w$th string in $\... 2 Unfortunately, I don't possess a copy of Sipser, so I will just define all my notation. Let$T_0,T_1,\ldots$an enumeration of all oracle Turing machines whose input is a word over some alphabet$\Sigma$. I will denote by$T_i^O(x)$the output of the execution of$T_i$on input$x$with oracle$O$, or$\bot$if the machine doesn't halt. We say that$T_i\$ (...

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