V2EX coinduction

Coinduction

定义 Definition

coinduction(余归纳/共归纳):一种在逻辑与计算机科学中常用的证明与定义方法,主要用于处理无限结构持续过程(如无限流、反应式系统)。它通常通过展示某种不变关系(常见为“双模拟”bisimulation)来证明性质成立,与“归纳(induction)”常用于有限构造相对。

发音 Pronunciation (IPA)

/kondkn/

例句 Examples

Coinduction is useful for reasoning about infinite streams.
余归纳法有助于推理无限流。

Using coinduction, we can prove that two processes are equivalent by exhibiting a bisimulation relation between them.
使用余归纳法,我们可以通过给出两者之间的双模拟关系来证明两个进程等价。

词源 Etymology

co- 表示“共同、对应”,induction 表示“归纳”。“coinduction”字面上可理解为“与归纳相对/相伴的归纳方式”,在形式化方法中常与coalgebra(余代数)最大不动点(greatest fixed point)的思想相关,用来刻画无限对象或持续行为。

相关词 Related Words

  • Bisimulation
  • Coalgebra
  • Corecursion
  • Deduction
  • Fixed Point
  • Induction
  • Invariant
  • Recursion
  • 文学与典籍 Literary Works

    • Davide Sangiorgi, Introduction to Bisimulation and Coinduction(专门系统介绍双模拟与余归纳的经典教材)
    • Benjamin C. Pierce, Types and Programming Languages(在类型系统与语言语义的语境中提到余归纳/相关概念)
    • Yves Bertot & Pierre Castéran, Interactive Theorem Proving and Program Development: Coq’Art(在 Coq 证明助手的形式化证明背景下涉及余归纳对象与证明)
    • Peter Van Roy & Seif Haridi, Concepts, Techniques, and Models of Computer Programming(讨论流、惰性计算等内容时与余归纳思想相关)
    About     Help     Advertise     Blog     API     FAQ     Solana     3665 Online   Highest 6679       Select Language
    创意工作者们的社区
    World is powered by solitude
    VERSION: 3.9.8.5 36ms UTC 10:35 PVG 18:35 LAX 03:35 JFK 06:35
    Do have faith in what you're doing.
    ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86