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2008/07/16: enhanced at 07/22



 Survey around Semantics for Programming Languages, and
                Machine Proof using Coq




                             ichiyama ryoichi*1



   *1   bellbind@gmail.com
1 Todays Summary
• Survey for Type System and Programming Language
  – Semantics and Proof
  – Various Languages (Type Systems for Lambda Calculus)
  – (Binder) Encoding Styles for Target Language
• Proof for Programming Language with Coq
2 My Motivation
• Continuing work: Definitional interpreters, Gradual typing, ....
• Challenge to Programming them with Coq
  – toward my language
• Learn the area around lang def with proof
  – several methods, techniques, some application
• Dependently typed language/programming
• Category theory: F-Algebra,...
• L TEX: slide, lstlisting, proof.sty
   A
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq
Survey around Semantics for Programming Languages, and Machine Proof using Coq

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Survey around Semantics for Programming Languages, and Machine Proof using Coq

  • 1. 2008/07/16: enhanced at 07/22 Survey around Semantics for Programming Languages, and Machine Proof using Coq ichiyama ryoichi*1 *1 bellbind@gmail.com
  • 2. 1 Todays Summary • Survey for Type System and Programming Language – Semantics and Proof – Various Languages (Type Systems for Lambda Calculus) – (Binder) Encoding Styles for Target Language • Proof for Programming Language with Coq
  • 3. 2 My Motivation • Continuing work: Definitional interpreters, Gradual typing, .... • Challenge to Programming them with Coq – toward my language • Learn the area around lang def with proof – several methods, techniques, some application • Dependently typed language/programming • Category theory: F-Algebra,... • L TEX: slide, lstlisting, proof.sty A