Applications of Lattices

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


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.


Boolean Algebra Propositional Logic Symbolic Representation Truth Table Paper Strip 
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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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