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Computational Inductive Definability

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Abstract

It is shown that over any countable first-order structure, IND programs with dictionaries accept exactly the Pi-1-1 relations. This extends a result of Harel and Kozen (1984) relating IND and Pi-1-1 over countable structures with some coding power, and provides a computational analog of a result of Barwise, Gandy, and Moschovakis (1971) relating the Pi-1-1 relations on a countable structure to a certain family of inductively definable relations on the hereditarily finite sets over that structure.

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2002-04-03

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Cornell University

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computer science; technical report

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http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR2002-1870

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technical report

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