The Tale of One-Way Functions

  • Authors:
  • L. A. Levin

  • Affiliations:
  • Boston University Lnd@cs.bu.edu

  • Venue:
  • Problems of Information Transmission
  • Year:
  • 2003

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Abstract

The existence of one-way functions (owf) is arguably the most important problem in computer theory. The article discusses and refines a number of concepts relevant to this problem. For instance, it gives the first combinatorial complete owf, i.e., a function which is one-way if any function is. There are surprisingly many subtleties in basic definitions. Some of these subtleties are discussed or hinted at in the literature and some are overlooked. Here, a unified approach is attempted.