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Path: ...!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: Counter Example by Troelstra & Schwichtenberg (Was: Still on negative translation for substructural logics) Date: Wed, 4 Dec 2024 10:43:52 +0100 Organization: A noiseless patient Spider Lines: 16 Message-ID: <vip88o$p469$1@dont-email.me> References: <vihumn$2eqeg$3@dont-email.me> <vip1eu$pniu$1@solani.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 04 Dec 2024 10:43:53 +0100 (CET) Injection-Info: dont-email.me; posting-host="610effb79350f409cea8729717185534"; logging-data="823497"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+8zULNn/KQz4QRutvjcQsFrrs0ytUbKgI=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:fbDbpNnMYs9ZUSgCX095TKTssm4= In-Reply-To: <vip1eu$pniu$1@solani.org> Content-Language: en-GB Bytes: 1617 On 04/12/2024 08:47, Mild Shock wrote: > Now I tried an example by Troelstra & Schwichtenberg: > > solve_case(pos, schwichtenberg, [((((p->q)->q)->p)->q),(q->p)]=>q). > solve_case(neg, schwichtenberg2, [((((p->q)->q)->p)->q),(q->p)]=>q). > > At least the second case shouldn't give false, as is seen here: It fails if you do (the equivalent of) the intros before the TNT: I had a doubt about that, thanks for the test case. This works as expected: ?- solve([]=>tnt((((((p->q)->q)->p)->q)/\(q->p))->q)). -Julio