Constructivity in Computer Science Summer Symposium, San Antonio, TX, June 19-22, 1991. Proceedings

Mathematicians have long recognized the distinction between an argument showing that an interesting object exists and a procedure for actually constructing the object. Computer science adds a new dimension of interest in constructivity, since a computer program is a formal description of a construct...

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Bibliographic Details
Other Authors: Myers, J.Paul Jr (Editor), O'Donnell, Michael J. (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1992, 1992
Edition:1st ed. 1992
Series:Lecture Notes in Computer Science
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Connecting formal semantics to constructive intuitions
  • Kripke semantics for dependent type theory and realizability interpretations
  • Reflective semantics of constructive type theory
  • Are subsets necessary in Martin-Löf type theory?
  • Development transformation based on higher order type theory
  • Classical proofs as programs: How, what and why
  • Classical type theory
  • Axiomatization of calculus of constructions
  • A logical view of assignments
  • Constructivity issues in graph algorithms
  • Constructive topology and combinatorics
  • Implementing constructive real analysis (preliminary report)
  • Examples of semicomputable sets of real and complex numbers
  • Bringing mathematics education into the algorithmic age
  • The type structure of CAT
  • A simple and powerful approach for studying constructivity, computability, and complexity