• Corpus ID: 5930068

É SIK Semantics of flowchart programs and the free Conway theories

@inproceedings{Berntsky2011SS,
  title={{\'E} SIK Semantics of flowchart programs and the free Conway theories},
  author={L. Bern{\'a}tsky and Zolt{\'a}n {\'E}sik},
  year={2011}
}
Several useful identities involving the fixed point or itération opération are conséquences ofjust the Conway theory axioms. In this paper we give several characterizations of thefree Conway théories including a concrete description based on "aperiodîc" homomorphisms of flowehart schemes. It follows from this concrete description that the équations that hold in Conway théories are exactly the valid "group-free" équations of itération théories, moreover, the equational theory of Conway théories… 

Figures from this paper

Chapter 2: Fixed Point Theory

References

SHOWING 1-10 OF 14 REFERENCES

Group Axioms for Iteration

TLDR
It is proved that the set consisting of the Conway identities and the group identities associated with the finite (simple) groups is complete and a conjecture is formulated that is a generalization of Krob's axiomatization of the equational theory of the regular sets.

On Flowchart Theories. I. The Deterministic Case

Monadic Computation And Iterative Algebraic Theories

The notion algebraic theory was introduced by Lawvere in 1963 (cf. S. Eilenberg and J. B. Wright, Automata in general algebras, Information and Control 11 (1967) 4) to study equationally definable

Finite-Automaton Aperiodicity is PSPACE-Complete

and Z

  • ÉSIK, Axiomatizing schemes and their behaviours, Journal of Computing and System Sciences,
  • 1985

and Gh

  • STEFANESCU, Towards a new algebraic foundation of flowchart scheme theory, Fundamenta Informaticae,
  • 1990

I and J

Regular algebra and finite machines

Complete Systems of B-Rational Identities

  • D. Krob
  • Computer Science, Mathematics
    Theor. Comput. Sci.
  • 1991

Erratum and Corrigendum for "Structured Programming With and Without GO TO Statments"

  • C. C. Elgot
  • Computer Science
    IEEE Trans. Software Eng.
  • 1976