• Arithmetic operations in simply typed lambda calculus

  • 2024/05/04
  • 再生時間： 10 分
  • ポッドキャスト

Arithmetic operations in simply typed lambda calculus

無料で聴く

ポッドキャストの詳細を見る

  • サマリー

  • It is maybe not so well known that arithmetic operations -- at least some of them -- can be implemented in simply typed lambda calculus (STLC). Church-encoded numbers can be given the simple type (A -> A) -> A -> A, for any simple type A. If we abbreviate that type as Nat_A, then addition and multiplication can both be typed in STLC, at type Nat_A -> Nat_A -> Nat_A. Interestingly, things change with exponentiation, which we will consider in the next episode.
    続きを読む 一部表示
activate_samplebutton_t1

あらすじ・解説

It is maybe not so well known that arithmetic operations -- at least some of them -- can be implemented in simply typed lambda calculus (STLC). Church-encoded numbers can be given the simple type (A -> A) -> A -> A, for any simple type A. If we abbreviate that type as Nat_A, then addition and multiplication can both be typed in STLC, at type Nat_A -> Nat_A -> Nat_A. Interestingly, things change with exponentiation, which we will consider in the next episode.
数学 科学
続きを読む 一部表示

Arithmetic operations in simply typed lambda calculusに寄せられたリスナーの声

カスタマーレビュー：以下のタブを選択することで、他のサイトのレビューをご覧になれます。

Audible.co.jp

Amazon.co.jp
レビューはまだありません。