Mild Shock
2024-07-04 22:05:32 UTC
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 isomorphism
for simple 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.
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 isomorphism
for simple 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.