Abstract
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.
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References
Ersov, Ju. Model C of Partial Continuous Functions, in Logic Colloquium 76. Amsterdam: North Holland, 1977.
Johnstone, P. T. Stone Spaces. Cambridge: Cambridge University Press, 1982.
MacLane, S. Categories for the Working Mathematician. New York: Springer-Verlag, 1971.
Mulry, P. S. Generalized Banach-Mazur Functionals in the Topos of Recursive Sets, Journal of Pure and Applied Algebra, 26 (1982), 71–83.
Mulry, P. S. Adjointness in Recursion, Annals of Pure and Applied Logic, 32 (1986).
Mulry, P. S. A Categorical Approach to the Theory of Computation. Preprint, 1986.
Rogers, H. Theory of Recursive Functions and Effective Computability. New York: McGraw-Hill, 1967.
Scott, D. Continuous Lattices, in Toposes, Algebraic Geometry and Logic. New York: Springer-Verlag, 1972.
Scott, D. Lectures on a Mathematical Theory of Computation. Technical Monograph PRG-19. Oxford University, 1981.
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© 1988 Springer-Verlag Berlin Heidelberg
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Mulry, P.S. (1988). Kan extensions in effective semantics. In: Main, M., Melton, A., Mislove, M., Schmidt, D. (eds) Mathematical Foundations of Programming Language Semantics. MFPS 1987. Lecture Notes in Computer Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19020-1_6
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DOI: https://doi.org/10.1007/3-540-19020-1_6
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