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Abstract Invariant relations are used to analyze while loops; while their primary application is to derive the function of a loop, they can also be used to derive loop invariants, weakest preconditions, strongest postconditions, sufficient conditions of correctness, necessary conditions of correctness, and termination conditions of loops. In this paper we present two generic invariant relations that capture the semantics of loops whose loop body applies affine transformations on numeric variables.more » « less
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Mohammadi, Hessamaldin; Ghardallou, Wided; Brick, Elijah; Mili, Ali (, IEEE)We propose a set of functions that a user can invoke to analyze a program written in a C-like language: Assume() refers to a label in the source code or to a program part, and enables the user to make an assumption about the state of the program at some label or the function of some program part; Capture() refers to a label or a program part and returns an assertion about the state of the program at the label or the function of the program part; Verify() refers to a label or a program part and tests a unary assertion about the state of the program at the label or a binary assertion about the function of the program part; Establish() refers to a label or a program part and modifies the program code to make Verify() return TRUE at that label or program part, if it did not originally. We discuss the foundations of this tool as well as a preliminary implementation.more » « less
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Jiang, Xiaopeng; On, Thinh; Phan, NhatHai; Mohammadi, Hessamaldin; Mayyuri, Vijaya Datta; Chen, An; Jin, Ruoming; Borcea, Cristian (, IEEE)
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