Classical Representations

  • Christoph Meinel
  • Thorsten Theobald


To be able to work with concrete switching functions, a description of these functions is required. Of course, there is a very broad spectrum of possible description types. Basically, the representation has to describe the function adequately and thoroughly, i.e., it must be completely clear from the representation which switching function is considered. Besides this fundamental condition, which has always to be satisfied, a series of further properties are desirable. For example, the description of a function should
  • be rather short and efficient

  • support the evaluation and manipulation of the function

  • make particular properties of the function visible

  • suggest ideas for a technical realization

and much more.


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  1. Concerning the historic works of Lee,Masek,and Cobham, the references are[Lee59,Mas76,Cob66]Google Scholar
  2. More material on the mentioned classical representations of switching functions can be found in, e.g., [Weg87, Mei89]. Reference [Mor92] contains a survey on decision trees.Google Scholar
  3. The complexity results for the different classes of branching programs go back to Gergov and Meinel [GM94b].Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Christoph Meinel
    • 1
  • Thorsten Theobald
    • 2
  1. 1.University of TrierTrierGermany
  2. 2.Technical University MünchenMünchenGermany

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