| J.R.B. Cockett and T. Fukushima. About Charity. Technical Report 92/480/18, University of Calgary, 1992. |
....available to define recursive functions with constant parameters, for example, in a traditional language without higher order. To define pfold it is sufficient to assume that the initial algebra is strongly initial [10] or initial with parameters) giving rise to the so called strong datatypes [9]. Next we briefly review the concept of strong initiality and the definition of pfold. Let us fix an object X. We call an arrow of type A Theta X B, for arbitrary A and B, an X action. Composition of two X actions f : B Theta X C and g : A Theta X B is given by f ffl g = f ffi hg; 2 i. ....
R. Cockett and T. Fukushima. About Charity. Technical Report 92/480/18, University of Calgary, June 1992.
....diagram oe oe A 0 C 0 A 1 C 1 . B 0 B 1 f 0 f 1 g 0 g 1 c a b (1) 2) whenever the lower row is a coproduct, B 1 = A 1 C 1 via the injections f 1 ; g 1 , squares (1) and (2) are pullbacks if and only if the top row is a coproduct, B 0 = A 0 C 0 via the injections f 0 ; g 0 . In [CF91, CLW92] it is noted that an extensive category with products satisfies the distributive law of products over coproducts. Also, every topos is an extensive category as are finitely complete cartesian closed categories (with inhabited nonempty types) and formal categories of datatypes. From the ....
R. Cockett and T. Fukushima, About Charity, Draft, University of Calgary, 1991.
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J.R.B. Cockett and T. Fukushima. About Charity. Technical Report 92/480/18, University of Calgary, 1992.
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J.R.B. Cockett and T. Fukushima. About Charity. Technical Report 92/480/18, University of Calgary, 1992.
No context found.
J.R.B. Cockett and T. Fukushima. About Charity. Technical Report 92/480/18, University of Calgary, 1992.
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J.R.B. Cockett and T. Fukushima. About Charity. Technical Report 92/480/18, University of Calgary, 1992. 26
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J.R.B.Cockett and T.Fukushima. About Charity. Technical report, University of Calgary, 1992.
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J.R.B. Cockett and T. Fukushima. About Charity. Technical Report 92/480/18, University of Calgary, 1992. 26
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J.R.B. Cockett and T. Fukushima. About Charity. Technical Report 92/480/18, University of Calgary, 1992.
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R. Cockett, T. Fukushima, About Charity, Report, University of Calgary 1992
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