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From: olcott <polcott333@gmail.com>
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Subject: Title: A Structural Analysis of the Standard Halting Problem Proof
Date: Sat, 19 Jul 2025 23:58:30 -0500
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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.


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