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ほんの一瞬だけでもConcurrencyの計算理論に触れてみませんか? / Let's try taking a quick look at a calculus for concurrency

ほんの一瞬だけでもConcurrencyの計算理論に触れてみませんか? / Let's try taking a quick look at a calculus for concurrency

ばんじゅん🍓

September 19, 2021
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  1. © ZOZO Technologies, Inc. 3 Swift Concurrency?????? Ͱ΋ͳΜ͔ඇಉظͬͯଊ͑Ͳ͜Ζ͕ͳͯ͘೉͍͠ҹ৅͋Δ… Concurrency =

    ඇಉظ 
 ͚ͩͬʁ ҙ֎ͱ 
 ؾΛ෇͚Δ͜ͱ͕ଟ͍? ϦϑΝΫλͱ͔ 
 ίʔυϨϏϡʔͱ͔ 
 Ͳ͏͠Α͏
  2. © ZOZO Technologies, Inc. 6 Swiftͦͷ΋ͷͰ͸ͳ͘…
 ผͷ֯౓͔ΒConcurrencyΛݟͯΈΔ ۩ମతͳจ๏ ۩ମతͳίʔυΛॻ͘ΤϯδχΞ ܭࢉཧ࿦ɾܗࣜख๏

    ந৅తͳϞσϧ ந৅తͳϞσϧ্ͷϩδοΫ Concurrency ීஈͷϓϩάϥϛϯά ྫࣔ ʰCCSʱ ֓೦తͳੈք
  3. © ZOZO Technologies, Inc. 12 CCS - Calculus of Communicating

    Systems ฒߦܭࢉͷϞσϧͷͻͱͭ ݸผʹಈ͘ʮϓϩηεʯ͕ͨ͘͞Μ͋Γɺޓ͍ʹ௨৴ͯ͠ܭࢉ͕ਐΉɺͱ͢Δ ʮϓϩηεʯͱ͸ɺUNIXϓϩηεɾεϨουɾActorͳͲͳͲΛྨਪͯ͠΋Α͍͕ɺ΋ͬͱ֓೦తͳ΋ͷ͢ ΂ͯɻਓ΍γεςϜͰ΋Α͍ɻ จ๏ɿ ϓϩηε P = 0 a.P1 P1 + P2 P1 | P2 P1[b/a] P1\a A | | | | | | ͳʹ΋͠ͳ͍ ΞΫγϣϯaΛͯ͠P1ʹͳΔ P1·ͨ͸P2ʹͳΔ P1ͱP2͕ฒྻ͢Δ a→b໊લସ͑ a͕֎͔Βݟ͑ͳ͍P1 ଞͷϓϩηε໊ࢀর ஞ࣮࣍ߦ ඇܾఆੑ ฒྻ߹੒ ʢˠ௨৴ʣ ※จ๏ͷ΄͔ʹηϚϯςΟΫε͕͋ΓɺҎԼྫࣔʹΑΓུ https://en.wikipedia.org/wiki/Calculus_of_communicating_systems
  4. © ZOZO Technologies, Inc. 13 CCS - جຊจ๏ͱͦͷભҠܥ 1. جຊจ๏ͱͦͷભҠܥ

    2. ભҠܥΛಋग़͢ΔηϚϯςΟΫε 3. ϓϩηεΛ؍ଌ͢Δͱ͸Ͳ͏͍͏͜ͱ͔ʁ 4. ผͷϓϩηεʹஔ׵͑ʢϦϑΝΫλʣͰ͖Δ͔ʁ ౳Ձੑ͸ʁ 5. CCS͚ͩ͡Όͳ͍ɺଞʹ΋͋Δ௨৴ϓϩηεܭࢉ
  5. © ZOZO Technologies, Inc. 14 ϓϩηεͷࣜͱϥϕϧ෇͖ભҠܥ a.b.0 ࣜ ભҠܥ a.0

    0 a a.b.0 a b.0 b a.0 a.0 ͸ aͯ͠ ࢭ·Δ 0 a.b.0 ͸ aͯ͠ bͯ͠ ࢭ·Δ 0͸ʮͳʹ΋͠ͳ͍ʯ
  6. © ZOZO Technologies, Inc. 15 બ୒ a.0 + b.0 


    a.0 + b.0 a ࣜ ભҠܥ 0 b aͯ͠ ࢭ·Δ bͯ͠ ࢭ·Δ ·ͨ͸ ͲͪΒ͔બΜͰ෼ذ aͯ͠ࢭ·Δ͔ɺ 
 bͯ͠ࢭ·Δ͔ɺ ͲͪΒ͔ 0
  7. © ZOZO Technologies, Inc. 16 ฒྻ߹੒ ʢ௨৴͢ΔྫͰ͸ͳ͍ʣ a.0 | b.0

    
 a.0 | b.0 
 0 | b.0 a ࣜ ભҠܥ 0 | 0 b 
 a.0 | 0 b 0 | 0 a aͯ͠ ࢭ·Δ bͯ͠ ࢭ·Δ ͱ ยଆͣͭಈ͍ͯɺࠨӈͲͪΒ͔ΛḷΔ ʢΠϯλʔϦʔϒʣ aͯ͠ bͯ͠ ࢭ·Δ͔ɺ 
 bͯ͠ aͯ͠ ࢭ·Δ͔ɺ ͲͪΒ͔
  8. © ZOZO Technologies, Inc. 17 ฒྻ߹੒ͱඇܾఆੑͷؔ࿈ a.0 | b.0 a.b.0

    + b.a.0 
 a.0 | b.0 
 0 | b.0 a ࣜ ભҠܥ 0 | 0 b 
 a.0 | 0 b 0 | 0 a 
 a.b.0 + b.a.0 a b 
 b.0 
 a.0 0 b 0 a ಉ͡ʂ
  9. © ZOZO Technologies, Inc. 18 CCSͷΑ͋͘Δྫ: ࣗൢػ ྫʢվม͋Γ)ͷࢀߟจݙ … Reactive

    Systems: Modelling, Specification and Verification (English Edition) by Luca Aceto, Anna Ingólfsdóttir, Kim Guldstrand Larsen, Jiri Srba Co ff ee Machine User ແݶίʔώʔ ແݶϢʔβʔ coin 🪙 ☕ coffee
  10. © ZOZO Technologies, Inc. 19 CCSͷΑ͋͘Δྫ: ࣗൢػ ʢೖग़ྗʣ ______ 


    CM = coin.coffee.CM ____ 
 User = coin.coffee.User ࣜ Co ff ee Machine User ແݶίʔώʔ ແݶϢʔβʔ coin 🪙 ______ 
 coffee ☕ coffee ____ 
 coin
  11. © ZOZO Technologies, Inc. 20 CCSͷΑ͋͘Δྫ: ࣗൢػ ʢભҠਤʣ ______ 


    CM = coin.coffee.CM ____ 
 User = coin.coffee.User ______ 
 coin.coffee.CM ______ 
 coffee.CM coin ______ 
 coffee ____ 
 coin.coffee.User 
 coffee.User ____ 
 coin coffee ࣜ ભҠܥ ແݶίʔώʔ ͱ ແݶϢʔβʔ
  12. © ZOZO Technologies, Inc. 21 CCSͷΑ͋͘Δྫ: ࣗൢػ ʢϓϩηεؒͷಉظ௨৴ʣ ______ 


    CM = coin.coffee.CM ____ 
 User = coin.coffee.User ______ 
 coin coffee ࣜ ભҠܥ ฒߦͨ͠ϓϩηεؒͷૹड৴ϖΞ
  13. © ZOZO Technologies, Inc. ભҠܥ 22 CCSͷΑ͋͘Δྫ: ࣗൢػ ʢ֎͔ΒݟΔʣ 


    CM | User τ ______ 
 coffee.CM | coffee.User ࣜ CMͱUserͷcoinૹड৴ʹΑΔભҠ
 ʢ֎͔Β͸ݟ͑ͳ͍ʣ ______ 
 CM = coin.coffee.CM ____ 
 User = coin.coffee.User ͷͱ͖ͷ CM | User
  14. © ZOZO Technologies, Inc. ભҠܥ 23 CCSͷΑ͋͘Δྫ: ࣗൢػ (and more…)

    
 CM | User | User | User τ ??? ࣜ ͷͱ͖ͷ CM | User | User | User ______ 
 CM = coin.coffee.CM ____ 
 User = coin.coffee.User
  15. © ZOZO Technologies, Inc. 24 ͞ΒͳΔਂΈ΁ ✅ جຊจ๏ͱͦͷભҠܥ ભҠܥΛಋग़͢ΔηϚϯςΟΫε ϓϩηεΛ؍ଌ͢Δͱ͸Ͳ͏͍͏͜ͱ͔ʁ

    ผͷϓϩηεʹஔ׵͑ʢϦϑΝΫλʣͰ͖Δ͔ʁ ౳Ձੑ͸ʁ CCS͚ͩ͡Όͳ͍ɺଞʹ΋͋Δ௨৴ϓϩηεܭࢉ ؾʹͳͬͨΒௐ΂ͯΈΑ͏ʂ
  16. © ZOZO Technologies, Inc. https://zozo.jp/ • ೔ຊ࠷େڃͷϑΝογϣϯ௨ൢαΠτ • 1,400Ҏ্ͷγϣοϓɺ8,200Ҏ্ͷϒϥϯυͷऔΓѻ͍ʢͱ΋ʹ 2021೥3݄຤࣌఺ʣ

    • ৗ࣌83ສ఺Ҏ্ͷ঎඼ΞΠςϜ਺ͱຖ೔ฏۉ2,900఺Ҏ্ͷ৽ண ঎ ඼Λܝࡌ • ίεϝઐ໳ϞʔϧʮZOZOCOSMEʯ΍ۺͷઐ໳Ϟʔϧ ʮZOZOSHOESʯɺϥάδϡΞϦʔˍσβΠφʔζκʔϯ ʮZOZOVILLAʯΛల։ • ଈ೔഑ૹαʔϏε • ΪϑτϥοϐϯάαʔϏε • πέ෷͍ ͳͲ 26
  17. © ZOZO Technologies, Inc. גࣜձࣾZOZOςΫϊϩδʔζ ςοΫϦʔυ ZOZOTOWN iOS ͹Μ͡ΎΜ🍓 /

    @banjun 28 -PWF-JWFS NBD04 $SFBUF-JWF1IPUPTGSPN.PWJFT 'MJDL4,, J04 +BQBOFTF$VTUPN,FZCPBSE&YUFOTJPO ݸਓϓϩδΣΫτɾ1PEDBTU ͖ͷ͜ΔΤϑΤϜX!USFCZ͖ͷ͜Δ
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