Gordon D.L. Smyth (1929-1992)

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Shosaku Numa - 7 February 1929--15 February 1992.

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Resolution in the Smyth powerdomain

The purposes of this paper are (i) to give a new, eecient representation of Smyth powerdomains as 0-inhabited information systems, following the style of Scott; (ii) to introduce, as a consequence of this representation, a generalized resolution method for an arbitrary Smyth powerdomain and show the soundness and completeness of this method. The connection of (i) with (ii) comes from the observ...

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Powerdomains are the order-theoretic analogue of powersets and are used to model non-determinism and concurrency [9, 8, 3, 10]. There exist three standard kinds of order-theoretic powerdomain: the Plotkin, Smyth and Hoare powerdomain. To obtain a powerdomain from a given !-algebraic cpo D, one constructs the collection F(D) of finite, non-empty sets of finite elements from D (for necessary defi...

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ژورنال

عنوان ژورنال: The Journal of Laryngology & Otology

سال: 1992

ISSN: 0022-2151,1748-5460

DOI: 10.1017/s0022215100120262