Title
Dual Types of Hypotheses in Inductive Inference
Abstract
Several well-known inductive inference strategies change the actual hypothesis only when they discover that it provably misclassifies an example seen so far. This notion is made mathematically precise and its general power is characterized. In spite of its strength it is shown that this approach is not of universal power. Consequently, then hypotheses are considered which unprovably misclassify examples and the properties of this approach are studied. Among others it turns out that this type is of the same power as monotonic identification. Finally, it is shown that universal power can be achieved only when an unbounded number of alternations of these dual types of hypotheses is allowed.
Year
DOI
Venue
1991
10.1007/BFb0030395
Nonmonotonic and Inductive Logic
Keywords
Field
DocType
dual types,inductive inference
Monotonic function,Inductive reasoning,Computer science,Algorithm,Initial segment,Recursive functions,Spite
Conference
ISBN
Citations 
PageRank 
3-540-56433-0
0
0.34
References 
Authors
14
3
Name
Order
Citations
PageRank
Rusins Freivalds178190.68
Efim Kinber242144.95
Rolf Wiehagen3835105.73