Sujet : Advent of Logic 2024: Friendly Reminder (Re: Advent of Logic 2024: Specification and Deadline)
De : janburse (at) *nospam* fastmail.fm (Mild Shock)
Groupes : sci.logicDate : 21. Dec 2024, 15:48:33
Autres entêtes
Message-ID : <vk6kfv$15r1k$1@solani.org>
References : 1 2
User-Agent : Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:91.0) Gecko/20100101 Firefox/91.0 SeaMonkey/2.53.19
Hi,
Friendly Reminder that the Deadline 24. December 2024
is approaching. Please be aware that Weekend 3 asks for
Natural Deduction, where (E⊃) and Modus Ponens are synonymous:
/* Scope of Weekend 3 */
C, X ⊢ Y
-------------- (I⊃)
C ⊢ X ⊃ Y
C ⊢ X C ⊢ X ⊃ Y
--------------------- (E⊃) /* Also known as Modus Ponens */
C ⊢ Y
Simply Types and its Curry Howard is primarily defined
for Natural Deduction. Extracting Lambda Experessions
from Non-Natural Deduction is a little bit more complicated.
So Weekend 3 is NOT for Sequent Calculus:
/* Not Scope of Weekend 3 */
C, X ⊢ Y
-------------- (R⊃)
C ⊢ X ⊃ Y
C ⊢ X C, Y ⊢ Z
--------------------- (L⊃)
C, X ⊃ Y ⊢ Z
Bye
Mild Shock schrieb:
Specification:
Weekend 2:
-----------
- Input = Atom % Propositional variable
| Input -> Input % Implication
- Output = B % B Axiom Schema
| C % C Axiom Schema
| I % I Axiom Schema
| (Output Output) % Modus Ponens
Weekend 3:
-----------
- Input = Atom % Propositional variable
| Input -> Input % Implication
- Output = Variable % Repetition
| λVariable.Output % Assumption & Detachment
| (Output Output) % Modus Ponens
Deadline:
24. December 2024