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How redundant is your universal computation device?
- Publication Year :
- 2009
-
Abstract
- Given a computational model , and a "reasonable" encoding function that encodes any computation device M of as a finite bit string, we define the description size of M (under the encoding ) as the length of . The description size of the entire class (under the encoding ) can then be defined as the length of the shortest bit string that encodes a universal device of . In this paper we propose the description size as a complexity measure that allows to compare different computational models. We compute upper bounds to the description size of deterministic register machines, Turing machines, spiking neural P systems and UREM P systems. By comparing these sizes, we provide a first partial answer to the following intriguing question: what is the minimal (description) size of a universal computation device?
Details
- Database :
- OAIster
- Notes :
- Corne, D, Frisco, PL, Leporati, A, Zandron, C, Mauri, G, LEPORATI, ALBERTO OTTAVIO, ZANDRON, CLAUDIO, MAURI, GIANCARLO
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1311384388
- Document Type :
- Electronic Resource