Ji\v r\'\i {} Sgall, Anton\'\i n Sochor
Forcing in the alternative set theory II

Comment.Math.Univ.Carolinae 32,2 (1991) 339-353.

Abstract:By the technique of forcing, some new independence results are proved for the alternative set theory (AST) and similar weak theories: The scheme of choice is independent both of AST and of second order arithmetic, axiom of constructibility is independent of AST plus schemes of choice.

Keywords: alternative set theory, second order arithmetic, forcing, schemes of choice, axiom of constructibility, degrees of constructibility
AMS Subject Classification: Primary 03E70; Secondary 03E25, 03E35, 03E45