4 research outputs found
Model-Checking Counting Temporal Logics on Flat Structures
We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show that decidability can be recovered by considering flat Kripke structures where each state belongs to at most one simple loop. Most decision procedures are based on results on (flat) counter systems where counters are used to implement the evaluation of counting operators
Flat Model Checking for Counting LTL Using Quantifier-Free Presburger Arithmetic
This paper presents an approximation approach to verifying counter systems
with respect to properties formulated in an expressive counting extension of
linear temporal logic. It can express, e.g., that the number of
acknowledgements never exceeds the number of requests to a service, by counting
specific positions along a run and imposing arithmetic constraints. The
addressed problem is undecidable and therefore solved on flat
under-approximations of a system. This provides a flexibly adjustable trade-off
between exhaustiveness and computational effort, similar to bounded model
checking. Recent techniques and results for model-checking frequency properties
over flat Kripke structures are lifted and employed to construct a parametrised
encoding of the (approximated) problem in quantifier-free Presburger
arithmetic. A prototype implementation based on the z3 SMT solver demonstrates
the effectiveness of the approach based on problems from the RERS Challange
Foundations of Software Science and Computation Structures
This open access book constitutes the proceedings of the 24th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2021, which was held during March 27 until April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The 28 regular papers presented in this volume were carefully reviewed and selected from 88 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems