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Lambda Calculus

USAMI Kosuke
November 03, 2018

Lambda Calculus

USAMI Kosuke

November 03, 2018
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  1. ϕʔλม׵ • ҎԼͰ࠶ؼతʹఆٛ͞ΕΔϥϜμࣜͷม׵Λϕʔλม׵ͱݺͿ • (1) • (2) ͳΒ͹ ͓Αͼ •

    ͜͜Ͱ ͸ɺϥϜμࣜ ͷதͷม਺ ΛϥϜμ ࣜ ʹஔ͖׵͑ͨϥϜμࣜͷ͜ͱͰ͋Δʢ୅ೖʣ
  2. ୅ೖʹ͍ͭͯͷิ଍ • ϥϜμࣜ ͷதͷม਺ ʹ͍ͭͯɺ ͱ͍͏෦෼ࣜ ͕͋Δͱ͖ Λଋറม਺ɺͦ͏Ͱͳ͍ͱ͖ࣗ༝ม਺ͱݺͿ • ୅ೖ

    Λߟ͑Δͱ͖ɺ ͷࣗ༝ม਺͸ ͷଋറ ม਺Ͱ͸ͳ͍΋ͷͱ͢Δ • ·ͨ ͷଋറม਺͸ Ҏ֎ͷม਺ʹஔ͖׵͑ͯߟ͑ΔʢҰ ൠʹɺϥϜμࣜͷଋറม਺ΛͦͷࣜʹݱΕͳ͍ผͷม਺ʹஔ͖ ׵͑ͨࣜΛɺݩͷࣜͱಉҰࢹ͢Δʣ
  3. ਖ਼نܗ • Church-Rosser ͷఆཧʹΑΓɺϥϜμࣜ ͔Β࢝Ίͯ༗ݶ ͷεςοϓͰࢭ·Δʢࣜதʹ ͕ͳ͘ͳΔʣϕʔλม׵ྻ͕͋ Δͱ͖ɺ࠷ऴ݁Ռ͸Ұக͢Δ • ͜ͷ࠷ऴ݁ՌΛ

    ͷਖ਼نܗͱݺͿ • ༩͑ΒΕͨؔ਺ʢϥϜμه๏ʣΛػցతʹॲཧͯ͠ਖ਼نܗΛಘ Δͷ͕ɺؔ਺ܕϓϩάϥϛϯάݴޠʹ͓͚ΔܭࢉͰ͋Δʢܭࢉ ػՊֶͷ༻ޠͰ͸ධՁͱݺͿʣ