4th Family Member: Relevant Logic (Was: Advent of Logic 2024: Weekend 3)

From	Mild Shock <janburse@fastmail.fm>
Newsgroups	comp.lang.prolog
Subject	4th Family Member: Relevant Logic (Was: Advent of Logic 2024: Weekend 3)
Date	2024-12-27 07:44 +0100
Message-ID	<vklict$1dvvf$2@solani.org> (permalink)
References	<vjksgj$sgo6$3@solani.org> <vjl14h$siot$1@solani.org> <vjl1i5$siv9$1@solani.org>

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Hi,

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

Bye

Mild Shock schrieb:
> Hi,
> 
> Create a proof search in Simple Types,
> that finds Lambda Expressions as proof,
> for a given formula in propositional logic.
> 
> The logic is the same as in Weekend 2.
> 
> Bye
> 
> Mild Shock schrieb:
>> Hi,
>>
>> Create a proof search in Combinatory Logic,
>> that finds a Combinator Expression as proof
>> for a given formula in propositional logic.
>>
>> The propositional logic can do with
>> implication only, and it should be Linear Logic.
>> French logician Jean-Yves Girard is credited
>>
>> with Linear Logic, and since we have implication
>> logic only, the Logic will be also affine, i.e.
>> it will have no contraction, which makes
>>
>> it special towards certain paradoxes.
>>
>> Bye
>>
>> Mild Shock schrieb:
>>> Hi,
>>>
>>> Draw a Colored ASCII Christams tree with Prolog.
>>>
>>> Bye
>>
>

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Thread

Advent of Logic 2024: Weekend 1 Mild Shock <janburse@fastmail.fm> - 2024-12-14 22:14 +0100
  Advent of Logic 2024: Weekend 2 (Was: Advent of Logic 2024: Weekend 1) Mild Shock <janburse@fastmail.fm> - 2024-12-14 23:33 +0100
    Re: Advent of Logic 2024: Weekend 3 (Was: Advent of Logic 2024: Weekend 2) Mild Shock <janburse@fastmail.fm> - 2024-12-14 23:41 +0100
      4th Family Member: Relevant Logic (Was: Advent of Logic 2024: Weekend 3) Mild Shock <janburse@fastmail.fm> - 2024-12-27 07:44 +0100
  Combinatorial Simple Typed Solution (Was: Advent of Logic 2024: Weekend 1) Mild Shock <janburse@fastmail.fm> - 2025-01-17 11:59 +0100

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