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Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Julio Di Egidio <julio@diegidio.name> Newsgroups: sci.logic Subject: Re: Negative translation for propositional linear (or affine) logic? Date: Thu, 28 Nov 2024 03:01:19 +0100 Organization: A noiseless patient Spider Lines: 21 Message-ID: <vi8itf$1n1h$4@dont-email.me> References: <vhgdq0$19evr$1@dont-email.me> <vhgemi$ca9e$1@solani.org> <vhgg23$19evr$2@dont-email.me> <vhhsit$d108$1@solani.org> <vhhuuf$1qic1$1@dont-email.me> <vhi5ch$d5rb$1@solani.org> <vhqemf$16mc2$1@dont-email.me> <vi8bgs$42ft$1@solani.org> <vi8et8$1n1h$2@dont-email.me> <vi8h9s$ghq4$1@solani.org> <vi8hij$gi0t$1@solani.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 28 Nov 2024 03:01:19 +0100 (CET) Injection-Info: dont-email.me; posting-host="52d3d32bb300a58b1c7fce645c7cbe65"; logging-data="56369"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/Zg/U4oOEmP2/otVKSOv8RWIHFmiIGNac=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:FXzQABE+id0tUPijYV9Khhxfva0= In-Reply-To: <vi8hij$gi0t$1@solani.org> Content-Language: en-GB Bytes: 1823 On 28/11/2024 02:38, Mild Shock wrote: > > In affine logic you can possibly do something like iterative > deepening, only its iterative contraction. > > Define A^n o- B as: > > A o- A o- .. A o- B > \-- n times --/ > > The running the prover with this notation: > > A -> B := A^n o- B > > repeatedly with increasing n . Yeah, something like that, but I am pretty sure we can do better than just trial and error. -Julio