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Definable operations in general algebras, and the theory of automata and flowcharts

  • Hans Bekić
Selected Papers Language Definition
Part of the Lecture Notes in Computer Science book series (LNCS, volume 177)

Abstract

We study the class of operations definable from the given operations of an algebra of sets by union, composition, and fixed points; we obtain two theorems on definable operations that give us as special case the regular-equals-recognisable theorem of generalised finite automata theory. Definable operations arise also as the operations computable by charts; by translating into predicate logic, we obtain Manna's formulas for termination and correctness of flowcharts.

Keywords

Normal Form Complete Lattice Predicate Logic Free Algebra Spontaneous Move 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Hans Bekić
    • 1
  1. 1.IBM LaboratoryVienna

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