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De Groot duality and models of choice: angels, demons and nature†

Published online by Cambridge University Press:  25 March 2010

JEAN GOUBAULT-LARRECQ
JEAN GOUBAULT-LARRECQ*
Affiliation:
LSV, ENS Cachan, CNRS, INRIA Saclay, 61 avenue du président-Wilson, 94230 Cachan, France Email: goubault@lsv.ens-cachan.fr
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Abstract

We introduce convex–concave duality for various models of non-deterministic choice, probabilistic choice and the two of them combined. This complements the well-known duality of stably compact spaces in a pleasing way: convex–concave duality swaps angelic and demonic choice, and leaves probabilistic choice invariant.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 20 , Special Issue 2: Domains , April 2010 , pp. 169 - 237
Copyright
Copyright © Cambridge University Press 2010

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