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Collapsing graph models by preorders

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Category Theory and Computer Science (CTCS 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 530))

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Abstract

We present a strategy for obtaining extensional (partial) combinatory algebras by slightly modifying the well-known construction of graph models for the untyped lambda calculus. Using the notion of weak cartesian closed category an elegant interpretation of our construction in a category theoretical setting is given.

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David H. Pitt Pierre-Louis Curien Samson Abramsky Andrew M. Pitts Axel Poigné David E. Rydeheard

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© 1991 Springer-Verlag Berlin Heidelberg

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Hoofman, R., Schellinx, H. (1991). Collapsing graph models by preorders. In: Pitt, D.H., Curien, PL., Abramsky, S., Pitts, A.M., Poigné, A., Rydeheard, D.E. (eds) Category Theory and Computer Science. CTCS 1991. Lecture Notes in Computer Science, vol 530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013457

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  • DOI: https://doi.org/10.1007/BFb0013457

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54495-1

  • Online ISBN: 978-3-540-38413-7

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