6533b7cefe1ef96bd12579cd

RESEARCH PRODUCT

Enumerable classes of total recursive functions: Complexity of inductive inference

Andris AmbainisJuris Smotrovs

subject

Discrete mathematicsClass (set theory)Mathematics::CombinatoricsTheoretical computer scienceRecursively enumerable setRecursive functionsEnumerationInductive reasoningMathematics

description

This paper includes some results on complexity of inductive inference for enumerable classes of total recursive functions, where enumeration is considered in more general meaning than usual recursive enumeration. The complexity is measured as the worst-case mindchange (error) number for the first n functions of the given class. Three generalizations are considered.

https://doi.org/10.1007/3-540-58520-6_50