A note on blum static complexity measures

  • Authors:
  • Cezar Câmpeanu

  • Affiliations:
  • Department of Computer Science and Information Technology, The University of Prince Edward Island, Canada

  • Venue:
  • WTCS'12 Proceedings of the 2012 international conference on Theoretical Computer Science: computation, physics and beyond
  • Year:
  • 2012

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Abstract

Dual complexity measures have been developed by Burgin, under the influence of the axiomatic system proposed by Blum in [3]. The concept of dual complexity measure is a generalization of Kolmogorov/Chaitin complexity, also known as algorithmic or static complexity. In this paper we continue this effort by extending some of the well known results for plain and prefix-free complexities to the general case of Blum universal static complexity. We also extend some results obtained by Calude in [9] to a larger class of computable measures, proving that transducer complexity is a dual (Blum static) complexity measure.