@inproceedings{10908,
abstract = {We present ABC, a software tool for automatically computing symbolic upper bounds on the number of iterations of nested program loops. The system combines static analysis of programs with symbolic summation techniques to derive loop invariant relations between program variables. Iteration bounds are obtained from the inferred invariants, by replacing variables with bounds on their greatest values. We have successfully applied ABC to a large number of examples. The derived symbolic bounds express non-trivial polynomial relations over loop variables. We also report on results to automatically infer symbolic expressions over harmonic numbers as upper bounds on loop iteration counts.},
author = {Blanc, Régis and Henzinger, Thomas A and Hottelier, Thibaud and Kovács, Laura},
booktitle = {Logic for Programming, Artificial Intelligence, and Reasoning},
editor = {Clarke, Edmund M and Voronkov, Andrei},
isbn = {9783642175107},
issn = {1611-3349},
location = {Dakar, Senegal},
pages = {103--118},
publisher = {Springer Nature},
title = {{ABC: Algebraic Bound Computation for loops}},
doi = {10.1007/978-3-642-17511-4_7},
volume = {6355},
year = {2010},
}