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Background, Reserve, and Gandy Machines

Andreas BlassContact Information and Yuri GurevichContact Information

(6)  Mathematics Dept., University of Michigan, Ann Arbor, MI 48109-1109, USA
(7)  Microsoft Research, One Microsoft Way, Redmond, WA 98052, USA
Abstract
The reserve of a state of an abstract state machine was defined to be a “naked set”. In applications, it may be convenient to have tuples, sets, lists, arrays, etc. defined ahead of time on all elements, including the reserve elements. We generalize the notion of reserve appropriately. As an application, we solve a foundational problem in Gandy’s formalization of mechanical devices.
Preparation of this paper was partially supported by a grant from Microsoft Corporation.

Contact Information Andreas Blass
Email: ablass@umich.edu

Contact Information Yuri Gurevich
Email: gurevich@microsoft.com
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