Kan extensions in effective semantics

  • Philip S. Mulry
Part I Categorical And Algebraic Methods
Part of the Lecture Notes in Computer Science book series (LNCS, volume 298)


An extension property for maps between domains is generalized to a categorical setting where the notions of adjoint and Kan extension are utilized to prove an extension property for functors. The results are used in an effective setting to provide a new characterization for certain computable mappings.


Natural Transformation Extension Property Effective Operation Continuous Lattice Left Adjoint 
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  1. [E]
    Ersov, Ju. Model C of Partial Continuous Functions, in Logic Colloquium 76. Amsterdam: North Holland, 1977.Google Scholar
  2. [J]
    Johnstone, P. T. Stone Spaces. Cambridge: Cambridge University Press, 1982.Google Scholar
  3. [ML]
    MacLane, S. Categories for the Working Mathematician. New York: Springer-Verlag, 1971.Google Scholar
  4. [M1]
    Mulry, P. S. Generalized Banach-Mazur Functionals in the Topos of Recursive Sets, Journal of Pure and Applied Algebra, 26 (1982), 71–83.CrossRefGoogle Scholar
  5. [M2]
    Mulry, P. S. Adjointness in Recursion, Annals of Pure and Applied Logic, 32 (1986).Google Scholar
  6. [M3]
    Mulry, P. S. A Categorical Approach to the Theory of Computation. Preprint, 1986.Google Scholar
  7. [R]
    Rogers, H. Theory of Recursive Functions and Effective Computability. New York: McGraw-Hill, 1967.Google Scholar
  8. [S1]
    Scott, D. Continuous Lattices, in Toposes, Algebraic Geometry and Logic. New York: Springer-Verlag, 1972.Google Scholar
  9. [S2]
    Scott, D. Lectures on a Mathematical Theory of Computation. Technical Monograph PRG-19. Oxford University, 1981.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Philip S. Mulry
    • 1
  1. 1.Colgate UniversityHamilton

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