NDLI: Soundness of a Logic-Based Verification Method for Imperative Loops

Content Provider	IEEE Xplore Digital Library
Author	Erascu, M. Jebelean, T.
Copyright Year	2012
Abstract	We present a logic-based verification method for imperative loops (including ones with abrupt termination) and the automatic proof of its soundness. The verification method consists in generating verification conditions for total correctness of an imperative loop annotated with an invariant. We realized, in the \textit{Theorem a} system (\url{www.theorema.org}), the automatic proof of the soundness of verification method: if the verification conditions hold, then the imperative loop is totally correct with respect to its given invariant. The approach is simpler than the others because it is based on functional semantics (no additional theory of program execution is necessary) and produces verification conditions in the object theory of the program. The computer-supported proofs reveal the minimal collection of logical assumptions (some from natural number theory) and logical inferences (including induction) which are necessary for the soundness of the verification technique.
Starting Page	127
Ending Page	134
File Size	255075
Page Count	8
File Format	PDF
ISBN	9781467350266
DOI	10.1109/SYNASC.2012.63
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-09-26
Publisher Place	Romania
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	\textit{Theorema} system termination Programming Calculus Cognition program analysis and verification semantics Indexes induction Semantics Syntactics symbolic execution Arrays
Content Type	Text
Resource Type	Article

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