Some results on $\mathbb{R}$-computable structures
Wesley Calvert, John E. Porter · arXiv (Cornell University) · 2008
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.