Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
Church Numerals
Search
HORINOUCHI Masato
March 26, 2018
Programming
0
49
Church Numerals
社内LT大会 0x64物語Reboot #0x0C Lambda 資料
HORINOUCHI Masato
March 26, 2018
Tweet
Share
More Decks by HORINOUCHI Masato
See All by HORINOUCHI Masato
balenaCloud
thermes
0
76
CPS & CTO
thermes
0
250
FM synthesis
thermes
0
37
A440
thermes
0
61
Inside mml2wav.rb
thermes
0
86
Scheme Interpreter in Ruby
thermes
0
70
Clock / Timer
thermes
0
160
Hash Tree
thermes
0
75
POSIX Threads
thermes
0
56
Other Decks in Programming
See All in Programming
安いハードウェアでVulkan
fadis
0
640
How to stabilize UI tests using XCTest
akkeylab
0
130
Cyrius ーLinux非依存にコンテナをネイティブ実行する専用OSー
n4mlz
0
230
The Past, Present, and Future of Enterprise Java
ivargrimstad
0
730
20260313 - Grafana & Friends Taipei #1 - Kubernetes v1.36 的開發雜記:那些困在 Alpha 加護病房太久的 Metrics
tico88612
0
220
守る「だけ」の優しいEMを抜けて、 事業とチームを両方見る視点を身につけた話
maroon8021
3
1.1k
ベクトル検索のフィルタを用いた機械学習モデルとの統合 / python-meetup-fukuoka-06-vector-attr
monochromegane
2
490
What Spring Developers Should Know About Jakarta EE
ivargrimstad
0
480
どんと来い、データベース信頼性エンジニアリング / Introduction to DBRE
nnaka2992
1
310
へんな働き方
yusukebe
5
2.7k
[SF Ruby Feb'26] The Silicon Heel
palkan
0
120
PHPで TLSのプロトコルを実装してみる
higaki_program
0
310
Featured
See All Featured
BBQ
matthewcrist
89
10k
[Rails World 2023 - Day 1 Closing Keynote] - The Magic of Rails
eileencodes
38
2.8k
HU Berlin: Industrial-Strength Natural Language Processing with spaCy and Prodigy
inesmontani
PRO
0
270
Visualization
eitanlees
150
17k
Kristin Tynski - Automating Marketing Tasks With AI
techseoconnect
PRO
0
200
Balancing Empowerment & Direction
lara
5
950
From π to Pie charts
rasagy
0
150
The AI Search Optimization Roadmap by Aleyda Solis
aleyda
1
5.4k
AI Search: Implications for SEO and How to Move Forward - #ShenzhenSEOConference
aleyda
1
1.2k
What's in a price? How to price your products and services
michaelherold
247
13k
The agentic SEO stack - context over prompts
schlessera
0
700
What the history of the web can teach us about the future of AI
inesmontani
PRO
1
480
Transcript
Church Numerals 2018/03/26 0x64 Tales Reboot #0x0C Lambda Livesense Inc.
OB HORINOUCHI Masato
νϟʔνͱ • ࣗવΛϥϜμࣜͰදݱ͢Δํ๏ͷͻͱͭ • ؔͰΛද͍ͯ͠Δ
ϥϜμܭࢉ • ϥϜμܭࢉͰ 2 + 3 = 5 Λܭࢉͯ͠ΈΑ͏
νϟʔνͷఆٛ 0 := λf x. x 1 := λf x.
f x 2 := λf x. f (f x) 3 := λf x. f (f (f x)) ↓RubyͰॻ͘ͱ… cn_0 = lambda { |f, x| x } cn_1 = lambda { |f, x| f.call(x) } cn_2 = lambda { |f, x| f.call(f.call(x)) } cn_3 = lambda { |f, x| f.call(f.call(f.call(x))) }
ޙଓ SUCC := λn f x. f (n f x)
↓RubyͰॻ͘ͱ… succ = lambda { |n| lambda { |f, x| f.call(n.call(f, x)) } }
Ճࢉ PLUS := λm n f x. m f (n
f x) ↓RubyͰॻ͘ͱ… plus = lambda { |m, n| lambda { |f, x| m.call(f, (n.call(f, x))) } }
Rubyͷੈքͱม • ͩʔͬͱઆ໌͖͚ͯͨ͠Ͳɺ্هͰఆٛͨؔ͠νϟʔν (lambda)ͳͷͰ… • RubyωΠςΟϒͷදݱʹม͍ͯ͋͛ͨ͠ɻ def cn_to_i(cn) cn.call(lambda {
|x| x + 1 }, 0) end
σϞ
Next Step ܭࢉػϓϩάϥϜͷߏͱղऍ (௨শ SICP) MITͷೖίʔεͰ͏ܭࢉػՊֶͷ༏ ΕͨڭՊॻ ϋϧɾΤΠϒϧιϯ, δΣϦ ʔɾαεϚϯ,
δϡϦʔɾαεϚϯڞஶ( ాӳҰ༁)ʮܭࢉػϓϩάϥϜͷߏͱղ ऍ ୈೋ൛ʯ(ϐΞιϯɾΤσϡέʔγϣϯ 2000). දࢴͷຐज़ࢣΏ͑ʹͦ͏͍ΘΕ Δ. LISP/Schemeੈքͷయͷͻͱͭ.
·ͱΊ • SICP ಡॻձͰνϟʔνΛֶΜͩͱ͖ɺࢀՃऀશһṖͷײಈɻ • ΈΜͳ SICP ಡΜͰͶɻ • Ruby
ͷ Lambda .call ͠ͳ͍ͱ͍͚ͳ͍ͷͰɺಡΈॻ͖͠ ਏ͍…ɻ
͝ਗ਼ௌ͋Γ͕ͱ͏͍͟͝·ͨ͠