Please use this identifier to cite or link to this item:
|Title:||Characterizing language identification in terms of computable numberings|
|Authors:||Jain, S. |
|Citation:||Jain, S.,Sharma, A. (1997-03-06). Characterizing language identification in terms of computable numberings. Annals of Pure and Applied Logic 84 (1) : 51-72. ScholarBank@NUS Repository.|
|Abstract:||Identification of programs for computable functions from their graphs and identification of grammars (r. e. indices) for recursively enumerable languages from positive data are two extensively studied problems in the recursion theoretic framework of inductive inference. In the context of function identification, Freivalds et al. (1984) have shown that only those collections of functions, ℒ, are identifiable in the limit for which there exists a 1-1 computable numbering ψ and a discrimination function d such that (a) for each f ∈ ℒ, the number of indices i such that ψi = f is exactly one and (b) for each f ∈ ℒ, there are only finitely many indices i such that f and ψi, agree on the first d(i) arguments. A similar characterization for language identification in the limit has turned out to be difficult. A partial answer is provided in this paper. Several new techniques are introduced which have found use in other investigations on language identification.|
|Source Title:||Annals of Pure and Applied Logic|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Oct 5, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.