Re: Title: A Structural Analysis of the Standard Halting Problem Proof

You bisimilarity is broken
It shows halting not as a decidable property.
If you have M1 ~ M2, and M2 is still not decidable
but has the same notion of termination nevertheless,
means logically you didn't really make any error,
only you showed nothing. Not much was gained.
I guess you need to start all over agan.
olcott schrieb:

Title: A Structural Analysis of the Standard Halting Problem Proof
 Author: PL Olcott
 Abstract:
This paper presents a formal critique of the standard proof of the undecidability of the Halting Problem. While we do not dispute the conclusion that the Halting Problem is undecidable, we argue that the conventional proof fails to establish this conclusion due to a fundamental misapplication of Turing machine semantics. Specifically, we show that the contradiction used in the proof arises from conflating the behavior of encoded simulations with direct execution, and from making assumptions about a decider's domain that do not hold under a rigorous model of computation.