Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Wasell Newsgroups: comp.theory,sci.logic Subject: Re: Two dozen people were simply wrong --- Try to prove otherwise --- pinned down Date: Sat, 1 Jun 2024 10:36:00 +0200 Organization: Never You Mind, Inc. Lines: 49 Message-ID: References: <87y17smqnq.fsf@bsb.me.uk> MIME-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: 7bit Injection-Date: Sat, 01 Jun 2024 10:36:00 +0200 (CEST) Injection-Info: dont-email.me; posting-host="77e9e6e01ce03ddeeb17047b4fede0b2"; logging-data="2841433"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19hNMzoAXiiU4TXQt0hzAHi" User-Agent: MicroPlanet-Gravity/3.0.4 Cancel-Lock: sha1:KK2gejApgEpQfrSyUyDgJEuiop8= Bytes: 3823 On Fri, 31 May 2024 18:57:57 -0500, in article , olcott wrote: > > On 5/31/2024 6:33 PM, Richard Damon wrote: [...] >> Never said it could. But haven't looked hard enough to be willing to say >> it can't, but then, who cares, it doesn't say a thing about the real >> halting problem, since H's simulation isn't "correct" by a definition >> that relates simulation to non-halting behavior, > > "...the Turing machine will halt whenever it enters a final state." > Linz(1990:234) > > *If DD correctly simulated by HH can't possibly reach its own* > *final state then DD correctly simulated by HH is non-halting* You keep using this quote as if it means that the /only/ way a TM can halt, is if it enters a final state. You never quote the context: "A Turing machine is said to halt whenever it reaches a configuration for which \delta is not defined; this is possible because \delta is a partial function. In fact, we will assume that no transitions are defined for any final state, so the Turing machine will halt whenever it enters a final state." (p. 227 in my copy) This means that a TM /will/ halt if it enters a final state, but it can also halt in other states. This interpretation is confirmed in other places in Linz: "The machine can halt in a nonfinal state or it can enter an infinite loop and never halt. [...] we halt in a nonfinal state. [...] the machine will halt in the nonfinal state q_0 , since \delta(q_0,1) is undefined." (p. 232) "[...] the computation will halt in a nonfinal state." (p. 233) "Other input not in the language will also lead to a nonfinal halting state" (p. 234) "[...] that will halt in a nonfinal state q_n if x < y." (p. 237) etc, etc. Can I expect you to never use this deceptive out-of-context quote ever again?