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coq-impl-of-denotational-semantics's Introduction

Coq Implementation of Denotational Semantics

Requirements

  • Macでの動作を想定
  • make, docker, docker-compose, xquartzをインストール，設定

Usage

  1. makeでCoqIDEを起動
  2. File -> Openで適当なファイルを開く
  3. Compile -> Makeでコンパイル

Files

Util.v

本筋と関係なさそうな補題集

Partial.v

  • R上の部分関数 partial := R -> option R
  • option R上の引き算，絶対値，比較，割り算
  • partialの極限，連続性，繋がり方，微分

Trajectory.v

  • partialの1点更新，区間更新
  • 軌道 trajectory := list phase
  • trajectoryからpartialへの変換

PropFormula.v

  • Propベースのformulaの定義
  • 1つのformulaの閉包，複数のformulaの閉包
  • 制約（時間の関数）constraint := list (set formula)
  • constraintの閉包
  • set formulaの包含関係，constraintの包含関係・比較
  • 成立履歴 history := string -> option constraint

BouncingParticle.v, ParameterizedBouncingParticle.v

  • 解集合の計算

coq-impl-of-denotational-semantics's People

Contributors

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Watchers

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