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Polymorphism

Polymorphism. CSED 321 CSE 정진웅. Polymorphism. Predicative polymorphic λ -calculus Let-polymorphism Implicit polymorphism. Predicative polymorphic λ -calculus. Untyped. Typed. Untypable. e’. Typable. e ’ ’. e. Predicative polymorphic λ -calculus. Untyped λ x . x Typed

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Polymorphism

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  1. Polymorphism CSED 321 CSE 정진웅

  2. Polymorphism • Predicative polymorphic λ-calculus • Let-polymorphism • Implicit polymorphism

  3. Predicative polymorphic λ-calculus Untyped Typed Untypable e’ Typable e ’ ’ e

  4. Predicative polymorphic λ-calculus • Untyped • λ x . x • Typed • λ x : int . x • λ x : bool . x

  5. Predicative polymorphic λ-calculus • Monotype • A ::= A →A | α • Polytype • U ::= A | ∀ α.U

  6. Predicative polymorphic λ-calculus • Polymorphism을 완벽하게 구현하지 못함 • Just polymorphism을 적용!

  7. Let-polymorphism • polytype을 typing하는 방법

  8. Let-polymorphism

  9. Let-polymorphism U Untyped Typable(with system F) Typable(with let-poly) Typable(with predictive-poly)

  10. Implicit polymorphism • untyped -> typed

  11. Implicit polymorphism

  12. References • Course note • 김봉준 선배’s PPT

  13. Thank you

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