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On sequential functionals of type 3

Published online by Cambridge University Press:  17 May 2006

DAG NORMANN
DAG NORMANN
Affiliation:
Department of Mathematics, The University of Oslo, P.O. Box 1053, Blindern N-0316 Oslo, Norway Email: dnormann@math.uio.no
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Abstract

We show that the extensional ordering of the sequential functionals of pure type 3, for example, as defined via game semantics (Abramsky et al. 1994; Hyland and Ong 2000), is not cpo-enriched. This shows that this model does not equal Milner's (Milner 1977) fully abstract model for PCF.

Information

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 16 , Issue 2 , April 2006 , pp. 279 - 289
Copyright
2006 Cambridge University Press

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