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Path: ...!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.org!.POSTED!not-for-mail From: Mild Shock <janburse@fastmail.fm> Newsgroups: comp.lang.prolog Subject: Re: Minimal Logics in the 2020's: A Meteoric Rise (Was: The road to Artificial Intelligence) Date: Fri, 5 Jul 2024 06:38:00 +0200 Message-ID: <v67tb8$6pt0$2@solani.org> References: <b406aa35-c39b-46f3-862f-1cc4b75143ae@googlegroups.com> <1b7ce2bd-722b-4c2e-b853-12fc2232752bn@googlegroups.com> <v6731e$6eft$1@solani.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 5 Jul 2024 04:38:00 -0000 (UTC) Injection-Info: solani.org; logging-data="223136"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:91.0) Gecko/20100101 Firefox/91.0 SeaMonkey/2.53.18.2 Cancel-Lock: sha1:B5OOlk5iTO/yXK2rku6bGq6nVCk= X-User-ID: eJwFwYEBwDAEBMCVgveRcVD2H6F3bhT2BZ3w9SVYOYLVeL3HFSjG+fqg7FHqgyvH2C/oZqE1iqS03szJHzrkFPo= In-Reply-To: <v6731e$6eft$1@solani.org> Bytes: 3641 Lines: 74 The meteoric rise of Curry-Howard isomorphism and minimal logic, possibly because proof assistants such as Lean, Agda, etc… all use it, is quite ironic, in the light of this statement: > Because of the vagueness of the notions of “constructive > proof”, “constructive operation”, the BHK-interpretation > has never become a versatile technical tool in the way > classical semantics has. Perhaps it is correct to say > that by most people the BHK-interpretation has never been > seen as an intuitionistic counterpart to classical semantics. > https://festschriften.illc.uva.nl/j50/contribs/troelstra/troelstra.pdf Mild Shock schrieb: > > Could be a wake-up call this many participants > already in the commitee, that the whole logic > world was asleep for many years: > > Non-Classical Logics. Theory and Applications XI, > 5-8 September 2024, Lodz (Poland) > https://easychair.org/cfp/NCL24 > > Why is Minimal Logic at the core of many things? > Because it is the logic of Curry-Howard isomoprhism > for symple types: > > ---------------- > Γ ∪ { A } ⊢ A > > Γ ∪ { A } ⊢ B > ---------------- > Γ ⊢ A → B > > Γ ⊢ A → B Δ ⊢ A > ---------------------------- > Γ ∪ Δ ⊢ B > > And funny things can happen, especially when people > hallucinate duality or think symmetry is given, for > example in newer inventions such as λμ-calculus, > > but then omg ~~p => p is nevertheless not provable, > because they forgot an inference rule. LoL > > Recommended reading so far: > > Propositional Logics Related to Heyting’s and Johansson’s > February 2008 - Krister Segerberg > https://www.researchgate.net/publication/228036664 > > The Logic of Church and Curry > Jonathan P. Seldin - 2009 > https://www.sciencedirect.com/handbook/handbook-of-the-history-of-logic/vol/5/suppl/C > > > Meanwhile I am going back to my tinkering with my > Prolog system, which even provides a more primitive > logic than minimal logic, pure Prolog is minimal > > logic without embedded implication. > > Mild Shock schrieb: >> >> Your new Scrum Master is here! - ChatGPT, 2023 >> https://www.bbntimes.com/companies/ai-will-make-agile-coaches-and-scrum-masters-redundant-in-less-than-2-years >> >> >> LoL >> >> Thomas Alva Edison schrieb am Dienstag, 10. Juli 2018 um 15:28:05 UTC+2: >>> Prolog Class Signpost - American Style 2018 >>> https://www.youtube.com/watch?v=CxQKltWI0NA >