Abstract
The semantics of a simple parallel programming language is presented in two ways: deductively, by a set of Hoare-like axioms and inference rules, and operationally, by means of an interpreter. It is shown that the deductive system is consistent with the interpreter. It would be desirable to show that the deductive system is also complete with respect to the interpreter, but this is impossible since the programming language contains the natural numbers. Instead it is proved that the deductive system is complete relative to a complete proof system for the natural numbers; this result is similar to Cook's relative completeness for sequential programs.The deductive semantics given here is an extension of an incomplete deductive system proposed by Hoare. The key difference is an additional inference rule which provides for the introduction of auxiliary variables in a program to be verified.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
