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On 3/15/2025 5:35 PM, dbush wrote:That "paraphrase" is not accurate and Sipser did not agree with it.On 3/15/2025 5:27 PM, olcott wrote:THIS IS EXACTLY AND PRECISELY WHAT I THINK HE DID AGREE TO<MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>But he didn't agree to what you think he did:
If simulating halt decider H correctly simulates its input D
until H correctly determines that its simulated D would never
stop running unless aborted then
H can abort its simulation of D and correctly report that D
specifies a non-halting sequence of configurations.
</MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
(It took me years to form this precise paraphrase)
<Accurate Paraphrase>
If emulating termination analyzer H emulates its input
finite string D of x86 machine language instructions
according to the semantics of the x86 programming language
until H correctly determines that this emulated D cannot
possibly reach its own "ret" instruction in any finite
number of correctly emulated steps then
H can abort its emulation of input D and correctly report
that D specifies a non-halting sequence of configurations.
</Accurate Paraphrase>
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