Characterizing the learnability of Kolmogorov easy circuit expressions

We show that Kolmogorov easy circuit expressions can be learned with membership queries in polynomial time if and only if every NE-predicate is E-solvable. Moreover we show that the previously known algorithm, that uses an oracle in NP, is optimal in some relativized world.

Bibliographic Details
Authors: Balcázar Navarro, José Luis|||0000-0003-4248-4528, Buhrman Canal, Harry
Format: report
Publication Date:1996
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/82488
Online Access:https://hdl.handle.net/2117/82488
Access Level:Open access
Keyword:Kolmogorov complexity
Circuit expressions
Àrees temàtiques de la UPC::Informàtica
Description
Summary:We show that Kolmogorov easy circuit expressions can be learned with membership queries in polynomial time if and only if every NE-predicate is E-solvable. Moreover we show that the previously known algorithm, that uses an oracle in NP, is optimal in some relativized world.