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
Coqの紹介 #w8lt
Search
Sponsored
·
SiteGround - Reliable hosting with speed, security, and support you can count on.
→
Shohei Yasutake
July 29, 2015
Programming
370
0
Share
Coqの紹介 #w8lt
w8ltでCoqの紹介をしました
Shohei Yasutake
July 29, 2015
More Decks by Shohei Yasutake
See All by Shohei Yasutake
Erlang 事例紹介: メディアストリーム中継システム
amutake
0
510
Haskell の型クラスと Typeclassopedia の紹介 #w8lt
amutake
0
550
部屋のメトリクス可視化
amutake
0
780
Actario: A Framework for Reasoning About Actor Systems
amutake
0
850
🍣 #w8lt
amutake
2
540
代数的データ型について #w8lt
amutake
6
2.5k
Coq で証明付き Web アプリを作る #adf2015
amutake
2
940
FLL
amutake
1
1.5k
Other Decks in Programming
See All in Programming
Vibe NLP for Applied NLP
inesmontani
PRO
0
410
感情を設計する
ichimichi
5
1.5k
今こそ押さえておきたい アマゾンウェブサービス(AWS)の データベースの基礎 おもクラ #6版
satoshi256kbyte
1
240
How Swift's Type System Guides AI Agents
koher
0
250
ハンズオンで学ぶクラウドネイティブ
tatsukiminami
0
130
CDK Deployのための ”反響定位”
watany
4
750
Mastering Event Sourcing: Your Parents Holidayed in Yugoslavia
super_marek
0
150
10 Tips of AWS ~Gen AI on AWS~
licux
5
370
Radical Imagining - LIFT 2025-2027 Policy Agenda
lift1998
0
300
GNU Makeの使い方 / How to use GNU Make
kaityo256
PRO
16
5.6k
一度始めたらやめられない開発効率向上術 / Findy あなたのdotfilesを教えて!
k0kubun
4
2.9k
PCOVから学ぶコードカバレッジ #phpcon_odawara
o0h
PRO
0
260
Featured
See All Featured
YesSQL, Process and Tooling at Scale
rocio
174
15k
How GitHub (no longer) Works
holman
316
150k
Odyssey Design
rkendrick25
PRO
2
570
Designing for Performance
lara
611
70k
Unsuck your backbone
ammeep
672
58k
Writing Fast Ruby
sferik
630
63k
Visual Storytelling: How to be a Superhuman Communicator
reverentgeek
2
510
How to audit for AI Accessibility on your Front & Back End
davetheseo
0
250
The Invisible Side of Design
smashingmag
302
51k
Designing for humans not robots
tammielis
254
26k
Between Models and Reality
mayunak
3
260
Mozcon NYC 2025: Stop Losing SEO Traffic
samtorres
0
200
Transcript
Coqͷհ W8LT @amutake_s
Coq • ఆཧূ໌ࢧԉܥͷͻͱͭ • ֶతͳ໋ͷূ໌ɾϓϩάϥϜͷ࣋ͭੑ࣭ ͷূ໌ͳͲʹ͑Δ
ఆཧূ໌ࢧԉܥ • ਓ͕ؒূ໌Λॻ͘ͷΛखॿ͚ͯ͘͠ΕΔ • ݱࡏͷূ໌ͷঢ়ଶɺԿΛࣔ͞ͳ͚Ε͍͚ͳ͍ͷ͔ɺ ͳͲͳͲΛදࣔͯ͘͠ΕΔ • ͪΐͬͱ͚ͩࣗಈূ໌ • ਖ਼͍͠ূ໌͔Ͳ͏͔ΛνΣοΫͯ͘͠ΕΔ
• ࢴͷ্ͷূ໌ͩͱຊʹਖ਼͍͠ͷ͔Θ͔Βͳ͍͜ͱ ͋Δ
ఆཧূ໌ࢧԉܥͷॏཁੑ • ʮͦͷূ໌ຊʹਖ਼͍͠ͷʁʯʮͦͷϓϩάϥϜຊʹ όάͳ͍ͷʁʯ • ࠷ۙͰɺग़ͯ͘ΔఆཧΛࢴ্Ͱͳ͘ఆཧূ໌ࢧԉܥ Λͬͯܗࣜతʹূ໌͍ͯ͠Δจ͕૿͖͍͑ͯͯΔ • ఆཧূ໌ࢧԉܥͷ͕ࣝڭཆʹͳΔͱ͖͕དྷΔ͔ •
จ͡Όͳ͍͖ͯ͘ͳΓূ໌Λ͚͛ͭΒΕΔ͜ͱ ͕͋ΔΒ͍͠… https://twitter.com/xuwei_k/status/409797442284969984
ఆཧূ໌ࢧԉܥ (Coq) ͷ࣮ྫ • CompCert • CoqͰॻ͔ΕͨCίϯύΠϥɻ࠷దԽͷաఔͰϓϩάϥϜͷҙຯΛม͑ͳ͍͜ͱͷূ໌ͳ Ͳ • ࢛৭ఆཧ
• ༗໊ͳఆཧɻCoqʹΑΔূ໌Ҏલʹূ໌͕͋ͬͨɺෳࡶ͗ͯ͢ຊʹਖ਼͍͔͠Ͳ͏ ͔Θ͔Βͳ͔ͬͨ • Verdi • ࠷ۙಡΜͰ͍͢͝ͱࢥͬͨࢄγεςϜ༻ͷCoqͷϑϨʔϜϫʔΫ (PLDI2015) • Coq্Ͱॻ͍ͨোੑ͕ͳ͍ࢄγεςϜͷίʔυΛɺ͋Δোʹରͯ͠ੑ͕͋Δ ͷʹมͯ͘͠ΕΔ (มޙͷϓϩάϥϜ͕োੑΛ࣋ͭ͜ͱূ໌ࡁΈ)ɻ࣮ߦՄೳ
Coqͷ͍ํ (งғؾ͚ͩ) • ϥΠϒূ໌͠·͢
Ͳ͏ͯ͠ূ໌͕Ͱ͖Δͷʁ • ΧϦʔϋϫʔυಉܕରԠʹجͮ͘ • ໋Λද͢ܕͷΛ࡞Δ͜ͱ͕Ͱ͖ΕͦΕ͕ͦ ͷ໋ͷূ໌ʹͳΔ ཧ ϓϩάϥϜ ໋1 ܕ1
໋1ͷূ໌ ܕ1ͷ ໋1㱺2 1ˠ2 ؔͷܕ ໋1a2 1 2ͷܕ ໋1a2 1 2ͷੵܕ
ূ໌߲ • Print ͨ͠ΒͣΒͣΒ Ͱͯ͘Δ͕ͭূ໌ • λΫςΟΫͷΈ߹ ΘͤʹΑΓূ໌߲͕ ࡞ΒΕΔ •
proof term ͱ͔ evidence ͱ͔ݺ Ε·͢
·ͱΊ • ఆཧূ໌ࢧԉܥʹ͍ͭͯઆ໌͠·ͨ͠ • Coqͷ͍ํʹ͍ͭͯσϞΛߦ͍·ͨ͠ • Ͳ͏ͯ͠ূ໌ͳΜͯ͜ͱ͕Ͱ͖Δ͔ʹ͍ͭͯઆ໌͠·͠ ͨ • Coqʹ͍ͭͯͳΜͱͳ͘Θ͔ͬͯΒ͑ͨΒخ͍͠Ͱ͢