Move lambda calculus notes.

c-declarations
Joshua Potter 2024-05-24 03:39:56 -06:00
parent 8fda87c218
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---
title: "2024-05-24"
---
- [ ] Anki Flashcards
- [x] KoL
- [ ] Sheet Music (10 min.)
- [ ] Go (1 Life & Death Problem)
- [ ] Korean (Read 1 Story)

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* Watched [Lecture #10 - Sorting & Aggregation Algorithms](https://www.youtube.com/watch?v=CMzf9Az1vl4) on databases. * Watched [Lecture #10 - Sorting & Aggregation Algorithms](https://www.youtube.com/watch?v=CMzf9Az1vl4) on databases.
* Work through chapter 1 of "Lambda-Calculus and Combinators, an Introduction". * Work through chapter 1 of "Lambda-Calculus and Combinators, an Introduction".
* Briefly played around further with different Flutter constructs.

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END%% END%%
%%ANKI
Basic
How is a constant function returning $y$ denoted in $\lambda$-calculus?
Back: $\lambda x. y$
Reference: Hindley, J Roger, and Jonathan P Seldin. “Lambda-Calculus and Combinators, an Introduction,” n.d. [https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf](https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf).
<!--ID: 1716498992500-->
END%%
%%ANKI
Basic
How is expression $MNPQ$ written with parentheses reintroduced?
Back: $(((MN)P)Q)$
Reference: Hindley, J Roger, and Jonathan P Seldin. “Lambda-Calculus and Combinators, an Introduction,” n.d. [https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf](https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf).
<!--ID: 1716498992520-->
END%%
%%ANKI
Cloze
By convention, parentheses in $\lambda$-calculus are {left}-associative.
Reference: Hindley, J Roger, and Jonathan P Seldin. “Lambda-Calculus and Combinators, an Introduction,” n.d. [https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf](https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf).
<!--ID: 1716498992525-->
END%%
%%ANKI
Basic
How is expression $\lambda x. \lambda y. MN$ written with parentheses reintroduced?
Back: $(\lambda x. (\lambda y. (MN)))$
Reference: Hindley, J Roger, and Jonathan P Seldin. “Lambda-Calculus and Combinators, an Introduction,” n.d. [https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf](https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf).
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END%%
%%ANKI
Cloze
Expression $(MN)$ is interpreted as applying {$M$} to {$N$}.
Reference: Hindley, J Roger, and Jonathan P Seldin. “Lambda-Calculus and Combinators, an Introduction,” n.d. [https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf](https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf).
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END%%
## Bibliography ## Bibliography
* Hindley, J Roger, and Jonathan P Seldin. “Lambda-Calculus and Combinators, an Introduction,” n.d. [https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf](https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf). * Hindley, J Roger, and Jonathan P Seldin. “Lambda-Calculus and Combinators, an Introduction,” n.d. [https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf](https://www.cin.ufpe.br/~djo/files/Lambda-Calculus%20and%20Combinators.pdf).