Soundness and Completeness of an Axiom System for Program Verification

@article{Cook1978SoundnessAC,
  title={Soundness and Completeness of an Axiom System for Program Verification},
  author={Stephen A. Cook},
  journal={SIAM J. Comput.},
  year={1978},
  volume={7},
  pages={70-90}
}
A simple ALGOL-like language is defined which includes conditional, while, and procedure call statements as well as blocks. A formal interpretive semantics and a Hoare style axiom system are given for the language. The axiom system is proved to be sound, and in a certain sense complete, relative to the interpretive semantics. The main new results are the completeness theorem, and a careful treatment of the procedure call rules for procedures with global variables in their declarations. 
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On logic and program verification

  • D. C. OPPEN
  • Tech . Rep . TR
  • 1971

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