Combinatorial Simple Typed Solution (Re: Advent of Logic 2024: Weekend 1)

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Sujet : Combinatorial Simple Typed Solution (Re: Advent of Logic 2024: Weekend 1)
De : janburse (at) *nospam* fastmail.fm (Mild Shock)
Groupes : sci.logic
Date : 17. Jan 2025, 12:00:32
Autres entêtes
Message-ID : <vmdd8e$35kl$2@solani.org>
References : 1
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Programming languages such as Vault, Rust, etc.. have
recently popularized substructural logics. Their type
systems share various forms of resource awareness.
Propositional substructural logics were already
discussed when Jan Łukasiewicz and Carew Arthur Meredith
met in 1947 in Dublin. We will investigate such logics
with the help of Prolog.
Links to Dogelog Notebooks that capture the proof finder
and the model finder are given at the end of the post.
We have practically automatized the work of a Logician
in the middle of the previous century.
We could determine proper inclusions relationships
among the examined Minimal, Affine, Relevant and
Linear logics.
See also:
Substructural Logics via Dogelog Player
https://x.com/dogelogch/status/1880084983316115798
Substructural Logics via Dogelog Player
https://www.facebook.com/groups/dogelog
Mild Shock schrieb:
 > Now that Christmas is over, are you excited for the new year?
 >
 > Here is the task for Weekend 4:
 >
 > - Do the same as for Weekend 2 and Weekend 3
 >   for a relevant logic.
 >
 > This would complete the picture, since we would have:
 >
 > Logic           Weakening      Contraction
 > Minimal         Yes            Yes
 > Relevant        No             Yes
 > Affine          Yes            No
 > Linear          No             No

Date Sujet#  Auteur
14 Dec 24 * Advent of Logic 2024: Weekend 158Mild Shock
14 Dec 24 +* Advent of Logic 2024: Weekend 2 (Was: Advent of Logic 2024: Weekend 1)36Mild Shock
14 Dec 24 i`* Re: Advent of Logic 2024: Weekend 3 (Was: Advent of Logic 2024: Weekend 2)35Mild Shock
17 Dec 24 i +* Proofs as programs (Was: Advent of Logic 2024: Weekend 3)33Julio Di Egidio
17 Dec 24 i i+- Re: Proofs as programs (Was: Advent of Logic 2024: Weekend 3)1Julio Di Egidio
17 Dec 24 i i+* Re: Proofs as programs (Was: Advent of Logic 2024: Weekend 3)21Mild Shock
17 Dec 24 i ii+* Re: Proofs as programs (Was: Advent of Logic 2024: Weekend 3)3Mild Shock
17 Dec 24 i iii+- Re: Proofs as programs (Was: Advent of Logic 2024: Weekend 3)1Mild Shock
17 Dec 24 i iii`- Re: Proofs as programs (Was: Advent of Logic 2024: Weekend 3)1Mild Shock
18 Dec 24 i ii`* Re: Proofs as programs17Julio Di Egidio
18 Dec 24 i ii `* Re: Proofs as programs16Mild Shock
18 Dec 24 i ii  `* Re: Proofs as programs15Mild Shock
18 Dec 24 i ii   `* Re: Proofs as programs14Julio Di Egidio
18 Dec 24 i ii    `* Re: Proofs as programs13Mild Shock
18 Dec 24 i ii     `* Hilbert Style proof system (Was: Proofs as programs)12Mild Shock
18 Dec 24 i ii      `* Re: Proofs as programs11Julio Di Egidio
19 Dec 24 i ii       `* What are Simple Types (Was: Proofs as programs)10Mild Shock
19 Dec 24 i ii        +* Re: What are Simple Types (Was: Proofs as programs)2Mild Shock
19 Dec 24 i ii        i`- Re: What are Simple Types (Was: Proofs as programs)1Mild Shock
19 Dec 24 i ii        `* Re: What are Simple Types (Was: Proofs as programs)7Julio Di Egidio
19 Dec 24 i ii         `* Re: What are Simple Types (Was: Proofs as programs)6Mild Shock
19 Dec 24 i ii          +* Re: What are Simple Types (Was: Proofs as programs)2Julio Di Egidio
19 Dec 24 i ii          i`- Re: What are Simple Types (Was: Proofs as programs)1Mild Shock
19 Dec 24 i ii          `* Re: What are Simple Types (Was: Proofs as programs)3Mild Shock
19 Dec 24 i ii           +- Re: What are Simple Types (Was: Proofs as programs)1Mild Shock
19 Dec 24 i ii           `- Re: What are Simple Types (Was: Proofs as programs)1Julio Di Egidio
19 Dec 24 i i+* Re: Proofs as programs (Was: Advent of Logic 2024: Weekend 3)5Julio Di Egidio
22 Dec 24 i ii`* Re: Proofs as programs4Julio Di Egidio
23 Dec 24 i ii `* /* A */ and /* B */ are different (Was: Proofs as programs)3Mild Shock
23 Dec 24 i ii  +- The Task is called the Inhabitation Problem (Was: /* A */ and /* B */ are different)1Mild Shock
23 Dec 24 i ii  `- Re: /* A */ and /* B */ are different (Was: Proofs as programs)1Julio Di Egidio
21 Dec 24 i i`* Curry-Howard Correspondence where? (Was: Proofs as programs (Was: Advent of Logic 2024: Weekend 3))5Mild Shock
21 Dec 24 i i `* A Christmas Miracle (Was: Curry-Howard Correspondence where?)4Mild Shock
21 Dec 24 i i  `* Re: A Christmas Miracle (Was: Curry-Howard Correspondence where?)3Mild Shock
21 Dec 24 i i   `* Re: A Christmas Miracle (Was: Curry-Howard Correspondence where?)2Mild Shock
21 Dec 24 i i    `- Re: A Christmas Miracle (Was: Curry-Howard Correspondence where?)1Mild Shock
27 Dec 24 i `- 4th Family Member: Relevant Logic (Re: Advent of Logic 2024: Weekend 3)1Mild Shock
20 Dec 24 +* Advent of Logic 2024: Specification and Deadline (Was: Advent of Logic 2024: Weekend 1)20Mild Shock
20 Dec 24 i+* Re: Advent of Logic 2024: Specification and Deadline (Was: Advent of Logic 2024: Weekend 1)15Mild Shock
20 Dec 24 ii+- Advent of Logic 2024: Solution Weekend 2 (Was: Advent of Logic 2024: Specification and Deadline)1Mild Shock
20 Dec 24 ii`* Repetition vs Use (Was: Advent of Logic 2024: Specification and Deadline)13Julio Di Egidio
20 Dec 24 ii `* Re: Repetition vs Use (Was: Advent of Logic 2024: Specification and Deadline)12Mild Shock
20 Dec 24 ii  `* Re: Repetition vs Use (Was: Advent of Logic 2024: Specification and Deadline)11Julio Di Egidio
20 Dec 24 ii   `* Please be patient (Was: Repetition vs Use)10Mild Shock
20 Dec 24 ii    `* Happy Now? (Was: Please be patient)9Mild Shock
20 Dec 24 ii     `* Re: Happy Now? (Was: Please be patient)8Julio Di Egidio
21 Dec 24 ii      `* What is it, a Bird or an Airplane? (Was: Happy Now? (Was: Please be patient))7Mild Shock
21 Dec 24 ii       `* Re: What is it, a Bird or an Airplane? (Was: Happy Now? (Was: Please be patient))6Julio Di Egidio
21 Dec 24 ii        `* Re: What is it, a Bird or an Airplane? (Was: Happy Now? (Was: Please be patient))5Mild Shock
21 Dec 24 ii         +- Re: What is it, a Bird or an Airplane? (Was: Happy Now? (Was: Please be patient))1Mild Shock
21 Dec 24 ii         `* Re: What is it, a Bird or an Airplane? (Was: Happy Now? (Was: Please be patient))3Julio Di Egidio
21 Dec 24 ii          `* Re: What is it, a Bird or an Airplane? (Was: Happy Now? (Was: Please be patient))2Mild Shock
21 Dec 24 ii           `- Re: What is it, a Bird or an Airplane? (Was: Happy Now? (Was: Please be patient))1Julio Di Egidio
21 Dec 24 i`* Advent of Logic 2024: Friendly Reminder (Re: Advent of Logic 2024: Specification and Deadline)4Mild Shock
24 Dec 24 i `* Re: Advent of Logic 2024: Friendly Reminder (Re: Advent of Logic 2024: Specification and Deadline)3Mild Shock
24 Dec 24 i  `* Linear Logic as Natural Deduction (Was: Advent of Logic 2024: Friendly Reminder)2Mild Shock
24 Dec 24 i   `- Re: Linear Logic as Natural Deduction (Was: Advent of Logic 2024: Friendly Reminder)1Mild Shock
17 Jan 25 `- Combinatorial Simple Typed Solution (Re: Advent of Logic 2024: Weekend 1)1Mild Shock

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