So... So there is no general-purpose algorithm that decides whether any input program halts (on any input string). The Halting Problem is undecidable (i.e. uncomputable) there is no algorithm that …

we can use our program E to solve the halting problem; since the halting problem is und. cidable, E can't exist. Notice the general strategy here: we know a problem A (here, the halting problem) is hard, and …

The halting problem Definition. A register machine H decides the Halting Problem if for all e, a1 , . . . , an ∈ N, starting H with R0 = 0 R1 = e

17.1 The Halting Problem Consider the HALTING PROBLEM (HALTTM): Given a TM M and w, does M halt on input w? Theorem 17.1 HALTTM is undecidable.

Chapter 5 The Halting Problem in general it is impossible to determine for which input strings ete its computation and halt. The proof of this is reminiscent of the `diagonal argument' used in the proof of …

The Halting Problem asks whether there exists a Turing machine H which, when fed as input a representation of a Turing machine M and an input w, will determine whether M would halt if it were …

Why is our textbook’s treatment of the Halting Problem not so clear as I would like? Our textbook does not distinguish clearly between a program H(P, I) that can examine the source-text of P and another …