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Path: ...!feeds.phibee-telecom.net!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.org!.POSTED!not-for-mail From: Mild Shock <janburse@fastmail.fm> Newsgroups: sci.logic Subject: Re: Proofs as programs (Was: Advent of Logic 2024: Weekend 3) Date: Tue, 17 Dec 2024 20:59:25 +0100 Message-ID: <vjsl6t$1dmbi$1@solani.org> References: <vjks2t$sghb$1@solani.org> <vjksaq$sgo6$1@solani.org> <vjksdb$sgo6$2@solani.org> <vjs63g$1m603$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 17 Dec 2024 19:59:25 -0000 (UTC) Injection-Info: solani.org; logging-data="1497458"; 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/2.53.19 Cancel-Lock: sha1:8eCszvmAcbCO8qJetuZMmagO0Wc= X-User-ID: eJwFwYEBwDAEBMCVCF6Mo+T3H6F3YVBMOgIeDOKwW++nsK5eQNpKZtb8HuaOuCBntV5RXfVuCJtFy7d3flRCFcM= In-Reply-To: <vjs63g$1m603$1@dont-email.me> Bytes: 1633 Lines: 20 Hi, For a combinatory logic there is a hint here: 5. Linear (BCI) and affine (BCK) combinatory logic https://ncatlab.org/nlab/show/combinatory+logic#LinearAndAffine But I guess there are other ones as well? Bye P.S.: I didn't verfy whether BCK and BCI are really affine and linear. They write combinator I is also definable as CKK, this would give an embedding of affine into linear. But possibly not vice versa? Can we show all these things via Prolog? Julio Di Egidio schrieb: > Sounds good? Anything else? :)