Some results on $\mathbb{R}$-computable structures

Computer Science – Databases

Scientific paper

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Scientific paper

This survey paper examines the effective model theory obtained with the BSS
model of real number computation. It treats the following topics: computable
ordinals, satisfaction of computable infinitary formulas, forcing as a
construction technique, effective categoricity, effective topology, and
relations with other models for the effective theory of uncountable structures.

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