Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott Newsgroups: comp.theory Subject: Re: I have always been correct about emulating termination analyzers --- PROOF Date: Mon, 21 Oct 2024 08:52:28 -0500 Organization: A noiseless patient Spider Lines: 20 Message-ID: References: <3232d8a0cc7b5d4bba46321bf682c94573bf1b7c@i2pn2.org> <647fe917c6bc0cfc78083ccf927fe280acdf2f9d@i2pn2.org> <522ecce215e636ddb7c9a1f75bff1ba466604cc5@i2pn2.org> <87634d01e18903c744d109aaca3a20b9ce4278bb@i2pn2.org> <592109c757262c48aaca517a829ea1867913316b@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 21 Oct 2024 15:52:29 +0200 (CEST) Injection-Info: dont-email.me; posting-host="b369f0f2d7fece35c41a3b04a99b5ee3"; logging-data="1022693"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19cJVeb9s7vl4fckwqS0ObG" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:d7nL15V7s24BL7XXjqiFZS7O6Lw= Content-Language: en-US X-Antivirus: Norton (VPS 241021-2, 10/21/2024), Outbound message In-Reply-To: X-Antivirus-Status: Clean Bytes: 2674 On 10/21/2024 3:41 AM, Mikko wrote: > On 2024-10-20 15:32:45 +0000, olcott said: > >> The actual barest essence for formal systems and computations >> is finite string transformation rules applied to finite strings. > > Before you can start from that you need a formal theory that > can be interpreted as a theory of finite strings. > Not at all. The only theory needed are the operations that can be performed on finite strings: concatenation, substring, relational operator ... The minimal complete theory that I can think of computes the sum of pairs of ASCII digit strings. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer