Re: Minimal Logics in the 2020's: A Meteoric Rise (Was: The road to Artificial Intelligence)

The meteoric rise of Curry-Howard isomorphism
and minimal logic, possibly because proof assistants
such as Lean, Agda, etc… all use it, is quite ironic,
in the light of this statement:
 > Because of the vagueness of the notions of “constructive
 > proof”, “constructive operation”, the BHK-interpretation
 > has never become a versatile technical tool in the way
 > classical semantics has. Perhaps it is correct to say
 > that by most people the BHK-interpretation has never been
 > seen as an intuitionistic counterpart to classical semantics.
 > https://festschriften.illc.uva.nl/j50/contribs/troelstra/troelstra.pdf
Mild Shock schrieb:

 Could be a wake-up call this many participants
already in the commitee, that the whole logic
world was asleep for many years:
 Non-Classical Logics. Theory and Applications XI,
5-8 September 2024, Lodz (Poland)
https://easychair.org/cfp/NCL24
 Why is Minimal Logic at the core of many things?
Because it is the logic of Curry-Howard isomoprhism
for symple types:
 ----------------
Γ ∪ { A } ⊢ A
 Γ ∪ { A } ⊢ B
----------------
Γ ⊢ A → B
 Γ ⊢ A → B           Δ ⊢ A
----------------------------
Γ ∪ Δ ⊢ B
 And funny things can happen, especially when people
hallucinate duality or think symmetry is given, for
example in newer inventions such as λμ-calculus,
 but then omg ~~p => p is nevertheless not provable,
because they forgot an inference rule. LoL
 Recommended reading so far:
 Propositional Logics Related to Heyting’s and Johansson’s
February 2008 - Krister Segerberg
https://www.researchgate.net/publication/228036664
 The Logic of Church and Curry
Jonathan P. Seldin - 2009
https://www.sciencedirect.com/handbook/handbook-of-the-history-of-logic/vol/5/suppl/C   Meanwhile I am going back to my tinkering with my
Prolog system, which even provides a more primitive
logic than minimal logic, pure Prolog is minimal
 logic without embedded implication.
 Mild Shock schrieb:

>
Your new Scrum Master is here! - ChatGPT, 2023
https://www.bbntimes.com/companies/ai-will-make-agile-coaches-and-scrum-masters-redundant-in-less-than-2-years >
>
LoL
>
Thomas Alva Edison schrieb am Dienstag, 10. Juli 2018 um 15:28:05 UTC+2:

Prolog Class Signpost - American Style 2018
https://www.youtube.com/watch?v=CxQKltWI0NA