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Since programming languages are Turing complete, it is impossible to decide for all programs whether a given non-trivial semantic property is valid or not. The way-out chosen by abstract interpretation is to provide approximate methods which may fail to certify a program property on some programs. Precision of the analysis can be measured by providing… (More)

In this paper we provide an interprocedural algorithm for reconstructing the control flow of assembly code in presence of indirect jumps, call instructions and returns. In case that the underlying assembly code is the output of a compiler, indirect jumps primarily originate from high-level switch statements. For these, our methods succeed in resolving… (More)

In this paper we present an alternative approach to interprocedurally inferring linear inequality relations. We propose an abstraction of the effects of procedures through convex sets of transition matrices. In the absence of conditional branching, this abstraction can be characterised precisely by means of the least solution of a constraint system. In… (More)

In this paper we present a lightweight interprocedural side-effect analysis on assembly code. We represent the modifying potential of a procedure f by classifying all write accesses, occurring within f , relative to the parameter registers. In particular our approach is the first to accurately handle reference parameters. We demonstrate the usefulness of… (More)

In this article we provide an interprocedural analysis of linear two-variable equalities. The novel algorithm has a worst-case complexity of 𝒪(<i>n</i> ṡ <i>k</i><sup>4</sup>), where <i>k</i> is the number of variables and <i>n</i> is the program size. Thus, it saves a factor of <i>k</i><sup>4</sup> in comparison to a related algorithm based on… (More)

- Michael Petter
- 2011

We prove that all valid Herbrand equalities can be inter-procedurally inferred for programs where all assignments are taken into account whose right-hand sides depend on at most one variable. The analysis is based on procedure summaries representing the weakest preconditions for finitely many generic post-conditions with template variables. In order to… (More)

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