A New Category for Semantics

  • Dana S. Scott
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2136)


Domain theory for denotational semantics is over thirty years old. There are many variations on the idea and many interesting constructs that have been proposed by many people for realizing a wide variety of types as domains. Generally, the effort has been to create categories of domains that are cartesian closed (that is, have products and function spaces interpreting typed lambda-calculus) and permit solutions to domain equations (that is, interpret recursive domain definitions and perhaps untyped lambda-calculus).


Equivalence Relation Full Subcategory Domain Theory Denotational Semantic Domain Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Dana S. Scott
    • 1
  1. 1.Carnegie Mellon UniversityPittsburghUSA

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