Computable Structures and the Hyperarithmetical Hierarchy by C. J. Ash,J. Knight

By C. J. Ash,J. Knight

This publication describes a software of analysis in computable constitution thought. The aim is to discover definability stipulations akin to bounds on complexity which persist less than isomorphism. the consequences follow to frequent forms of buildings (groups, fields, vector areas, linear orderings Boolean algebras, Abelian p-groups, types of arithmetic). there are numerous attention-grabbing effects already, yet there also are many typical questions nonetheless to be responded. The booklet is self-contained in that it contains important historical past fabric from recursion thought (ordinal notations, the hyperarithmetical hierarchy) and version conception (infinitary formulation, consistency properties).

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Computable Structures and the Hyperarithmetical Hierarchy (Studies in Logic and the Foundations of Mathematics)

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