From: Jaap van Oosten <J.vanOosten-qTWcuMntz1Q@public.gmane.org>
To: Foundations of Mathematics
<fom-+I05ep9qJbk3uPMLIKxrzw@public.gmane.org>,
Categories <categories-59hdLBrVOVU@public.gmane.org>
Subject: paper: Partial Combinatory Algebras of Functions
Date: Thu, 21 May 2009 16:12:36 +0200 [thread overview]
Message-ID: <4A156154.5030606@uu.nl> (raw)
In-Reply-To: <4A0BE853.1080708-qTWcuMntz1Q@public.gmane.org>
A new paper of mine is available on the Arxiv:
http://front.math.ucdavis.edu/0905.2665
*Abstract:* We employ the notions of `sequential function' and
`interrogation' (dialogue) in order to define new partial combinatory
algebra structures on sets of functions. These structures are analyzed
using J. Longley's preorder-enriched category of partial combinatory
algebras and decidable applicative structures.We also investigate total
combinatory algebras of partial functions. One of the results is, that
every realizability topos is a quotient of a realizability topos on a
total combinatory algebra.
next parent reply other threads:[~2009-05-21 14:12 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <8CBA196F31E8553-134C-6AC@WEBMAIL-DY09.sysops.aol.com>
[not found] ` <4A0BE853.1080708@uu.nl>
[not found] ` <4A0BE853.1080708-qTWcuMntz1Q@public.gmane.org>
2009-05-21 14:12 ` Jaap van Oosten [this message]
2009-05-21 14:12 Jaap van Oosten
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