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계획된 문서 #6

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@damhiya

Description

@damhiya

프로그래밍 언어

  • C
  • C++
  • Rust
  • ML
  • Standard ML
  • OCaml
  • Coq
  • Prolog

프로그래밍 언어 이론

  • λ 계산
  • STLC
  • strictness
  • eager / lazy evaluation
  • operational semantics
  • denotational semantics
  • domain theory
  • small-step semantics
  • big-step semantics
  • evaluation
  • normalization
  • hereditary substitution
  • undefined behavior
  • Hindley-Milner type system
  • Bidirectional typing
  • interaction tree
  • cbpv
  • Higher kinded type
  • Higher rank polymorphism
  • Polymorphic recursion
  • type operator, type constructor, type former

프로그램 검증

  • Hoare logic, weakest precondition
  • Separation logic
  • Simulation
  • Refinement
  • Interaction tree

논리학

  • 배중률
  • 1st order logic
  • Intuitionistic logic
  • Linear logic
  • Affine logic
  • Modal logic
  • Cut-elimination theorem
  • 명제
  • 판단(judgement)
  • hypothetical judgement

타입 이론

  • Inductive type
  • Coinductive type
  • CoC
  • CIC
  • HoTT
  • Girard의 역설
  • Curry의 역설
  • type constructor injectivity
  • mutual induction
  • inductive-recursive definition
  • inductive-inductive definition
  • induction scheme in Coq

수학

  • 러셀의 역설
  • 원순서
  • 부분순서
  • 전순서
  • 동치관계
  • Knaster-Tarski 정리
  • 카테고리
  • 함자
  • 자연변환
  • Polynomial functor

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