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A remark on the theory of semi-functors

  • R. Hoofman (a1) and I. Moerdijk (a2)

By establishing an appropriate equivalence, we observe that the theory of semi-functors can be fully embedded in the theory of (ordinary) functors. As a result, standard properties and constructions on functors extend automatically to semi-functors.

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S. Hayashi (1985) Adjunction of Semifunctors: Categorical Structures in Non-Extensional Lambda- Calculus. Theor. Comput. Sci. 41 95104.

R. Hoofman (1992) Non-Stable Models of Linear Logic. In: A. Nerode and M. Taitslin (eds.) Logical Foundations of Computer Science. Springer-Verlag Lecture Notes in Computer Science 620 209220.

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C. P. J. Koymans (1982) Models of the Lambda Calculus. Information and Control 52 306322.

G. M. Kelly and R. Street (1974) Review of the Elements of 2-Categories, Category Seminar. Springer-Verlag Lecture Notes in Mathematics 420 75103.

S. Mac Lane (1971) Categories for the Working Mathematician, Springer-Verlag, New York.

S. Martini (1987) An Interval Model for Second Order Lambda Calculus. In: D. H. Pitt , A. Poigné and D. Rydeheard (eds.) Category Theory and Computer Science. Springer-Verlag Lecture Notes in Computer Science 283 219237.

L. Román (1989) On Partial Cartesian Closed Categories. In: J. W. Gray and A. Scedrov (eds.) Categories in Computer Science and Logic. Contemporary Mathematics 92, American Mathematical Society 349356.

R. Street (1972) The Formal Theory of Monads. Journal of Pure and Applied Algebra 2 149168.

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Mathematical Structures in Computer Science
  • ISSN: 0960-1295
  • EISSN: 1469-8072
  • URL: /core/journals/mathematical-structures-in-computer-science
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