Guarded commands, nondeterminacy and formal derivation of programs

@article{Dijkstra1975GuardedCN,
  title={Guarded commands, nondeterminacy and formal derivation of programs},
  author={Edsger W. Dijkstra},
  journal={Communications of the ACM},
  year={1975},
  volume={18},
  pages={453 - 457}
}
  • E. Dijkstra
  • Published 1 August 1975
  • Computer Science
  • Communications of the ACM
So-called “guarded commands” are introduced as a building block for alternative and repetitive constructs that allow nondeterministic program components for which at least the activity evoked, but possibly even the final state, is not necessarily uniquely determined by the initial state. For the formal derivation of programs expressed in terms of these constructs, a calculus will be be shown. 
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References

SHOWING 1-3 OF 3 REFERENCES
An axiomatic basis for computer programming
TLDR
An attempt is made to explore the logical foundations of computer programming by use of techniques which were first applied in the study of geometry and have later been extended to other branches of mathematics by elucidation of sets of axioms and rules of inference.
Report on the algorithmic language ALGOL 60
TLDR
It was decided to hold an international meeting in January 1960 for improving the ALGOL language and preparing a final report, and seven representatives were selected to attend the January 1960 international conference.