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V-comprehensions and P space

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Category Theory and Computer Science (CTCS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 953))

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Abstract

We characterize the P space functions as the image in setv of a category initial in the doctrine of FP V-comprehensions having unary flat recursion and compatible unary and dyadic safe recursions. Here V is the partial order → ←. This characterization glues together, along the two sides of V, FP 2-comprehension based characterizations of linear space and P time.

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David Pitt David E. Rydeheard Peter Johnstone

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© 1995 Springer-Verlag Berlin Heidelberg

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Otto, J.R. (1995). V-comprehensions and P space. In: Pitt, D., Rydeheard, D.E., Johnstone, P. (eds) Category Theory and Computer Science. CTCS 1995. Lecture Notes in Computer Science, vol 953. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60164-3_29

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  • DOI: https://doi.org/10.1007/3-540-60164-3_29

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60164-7

  • Online ISBN: 978-3-540-44661-3

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