A Computable Structure with Non-Standard Computability
Copyright policy )A Computable Structure with Non-Standard Computability
Summary: We find an example of a computable admissible set whose level of computability is higher than that of the standard model of Peano arithmetic. As a byproduct, we construct a 1-decidable model of an undecidable submodel complete theory.
- Novosibirsk State University Russian Federation
- Sobolev Institute of Mathematics Russian Federation
admissible set, recursively saturated model, computable model, hereditarily finite superstructure, Computability and recursion theory on ordinals, admissible sets, etc., \(\Sigma \)-definability, decidable model, \(\Sigma \)-reducibility, Classification theory, stability, and related concepts in model theory, hyperadmissible set, Theory of numerations, effectively presented structures
admissible set, recursively saturated model, computable model, hereditarily finite superstructure, Computability and recursion theory on ordinals, admissible sets, etc., \(\Sigma \)-definability, decidable model, \(\Sigma \)-reducibility, Classification theory, stability, and related concepts in model theory, hyperadmissible set, Theory of numerations, effectively presented structures
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