Loop Analysis by Quantification over Iterations
Paper i proceeding, 2018

We present a framework to analyze and verify programs containing loops by using a first-order language of so-called extended expressions. This language can express both functional and temporal properties of loops. We prove soundness and completeness of our framework and use our approach to automate the tasks of partial correctness verification, termination analysis and invariant generation. For doing so, we express the loop semantics as a set of first-order properties over extended expressions and use theorem provers and/or SMT solvers to reason about these properties. Our approach supports full first-order reasoning, including proving program properties with alternation of quantifiers. Our work is implemented in the tool QuIt and successfully evaluated on benchmarks coming from software verification.

automated theorem proving


Program Verification

first-order logic


Bernhard Gleiss

Technische Universität Wien

Laura Kovacs

Chalmers, Data- och informationsteknik, Formella metoder

Simon Robillard

Chalmers, Data- och informationsteknik, Formella metoder

EPiC Series in Computing

23987340 (eISSN)

Vol. 57 381-399

22nd International Conference on Logic for Programming, Artificial Intelligence and Reasoning
Awassa, Ethiopia,


Datavetenskap (datalogi)

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