A constructive approach to the problem of program correctness

@article{Dijkstra1968ACA,
  title={A constructive approach to the problem of program correctness},
  author={Edsger W. Dijkstra},
  journal={BIT Numerical Mathematics},
  year={1968},
  volume={8},
  pages={174-186}
}
  • E. Dijkstra
  • Published 1968
  • Computer Science
  • BIT Numerical Mathematics
As an alternative to methods by which the correctness of given programs can be established a posteriori, this paper proposes to control the process of program generation such as to produce a priori correct programs. An example is treated to show the form that such a control might then take. This example comes from the field of parallel programming; the way in which it is treated is representative of the way in which a whole multiprogramming system has actually been constructed. 
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References

SHOWING 1-2 OF 2 REFERENCES
Proof of Algorithms by General Snapshots
TLDR
It is shown by an elementary example how this possibility may be used to prove the correctness of an algorithm written in ALGOL 60, i.e. expressions of static conditions existing whenever the execution of the algorithm reaches particular points. Expand
Correctness of a compiler for arithmetic expressions
Abstract : The paper contains a proof of the correctness of a simple compiling algorithm for compiling arithmetic expressions into machine language.