• DocumentCode
    2294398
  • Title

    Notational definition-a formal account

  • Author

    Griffin, Timothy G.

  • Author_Institution
    Cornell Univ., Ithaca, NY, USA
  • fYear
    1988
  • fDate
    0-0 1988
  • Firstpage
    372
  • Lastpage
    383
  • Abstract
    In the course of developing a mathematical theory or proof it is a common practice to introduce new notation to represent notation that is previously understood. The author presents a formal account that is intended to model the practice of introducing and using notational (abbreviate) definitions. The aim of this work is a pragmatic one: to provide a framework useful in the design and implementation of secure proof system interfaces which accommodate, as much as possible, conventional mathematical practice. A typed lambda -calculus is used to represent expressions of a given object language. A Delta -equation is introduced to model conventional definition equations.<>
  • Keywords
    formal logic; Delta -equation; Nupol system; abbreviate definitions; definition equations; mathematical theory; new notation; notational definitions; object language; proof; secure proof system interfaces; typed lambda -calculus; Calculus; Equations; Logic; Mathematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Logic in Computer Science, 1988. LICS '88., Proceedings of the Third Annual Symposium on
  • Conference_Location
    Edinburgh, UK
  • Print_ISBN
    0-8186-0853-6
  • Type

    conf

  • DOI
    10.1109/LICS.1988.5134
  • Filename
    5134