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Applications of Lattices

  • Rudolf Lidl
  • Günter Pilz
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

One of the most important applications of lattice theory and also one of the oldest applications of modern algebra is the use of Boolean algebras in modeling and simplifying switching or relay circuits. This application will be described in §7. It should be noted that the algebra of switching circuits is presented here not only because of its importance today but also for historical reasons and because of its elegant mathematical formulation. The same theory will also describe other systems, e.g., plumbing systems, road systems with traffic lights, etc. Then we consider propositional logic and indicate connections to probability theory.

Keywords

Boolean Algebra Propositional Logic Symbolic Representation Truth Table Paper Strip 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Rudolf Lidl
    • 1
  • Günter Pilz
    • 2
  1. 1.DVC OfficeUniversity of TasmaniaLauncestonAustria
  2. 2.Institut für MathematikUniversität LinzLinzAustria

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