Parikh images of grammars: Complexity and applications

E Kopczynski, AW To - 2010 25th Annual IEEE Symposium on …, 2010 - ieeexplore.ieee.org
Parikh's Theorem states that semilinear sets are effectively equivalent with the Parikh
images of regular languages and those of context-free languages. In this paper, we study …

Reasoning on data words over numeric domains

D Figueira, AW Lin - Proceedings of the 37th Annual ACM/IEEE …, 2022 - dl.acm.org
We introduce parametric semilinear data logic (pSDL) for reasoning about data words with
numeric data. The logic allows parameters, and Presburger guards on the data and on the …

Model checking infinite-state systems: generic and specific approaches

AW To - 2010 - era.ed.ac.uk
Model checking is a fully-automatic formal verification method that has been extremely
successful in validating and verifying safety-critical systems in the past three decades. In the …

Equivalence of deterministic one-counter automata is NL-complete

S Böhm, S Göller, P Jancar - Proceedings of the forty-fifth annual ACM …, 2013 - dl.acm.org
We prove that language equivalence of deterministic one-counter automata is NL-complete.
This improves the superpolynomial time complexity upper bound shown by Valiant and …

Reachability in two-parametric timed automata with one parameter is EXPSPACE-complete

S Göller, M Hilaire - Theory of Computing Systems, 2024 - Springer
Parametric timed automata (PTA) have been introduced by Alur, Henzinger, and Vardi as an
extension of timed automata in which clocks can be compared against parameters. The …

[HTML][HTML] Bisimulation equivalence and regularity for real-time one-counter automata

S Böhm, S Göller, P Jančar - Journal of Computer and System Sciences, 2014 - Elsevier
A one-counter automaton is a pushdown automaton with a singleton stack alphabet, where
stack emptiness can be tested; it is a real-time automaton if it contains no ε-transitions. We …

When model-checking freeze LTL over counter machines becomes decidable

S Demri, A Sangnier - … Conference on Foundations of Software Science …, 2010 - Springer
We study the decidability status of model-checking freeze LTL over various subclasses of
counter machines for which the reachability problem is known to be decidable (reversal …

Infinite-state energy games

PA Abdulla, MF Atig, P Hofman, R Mayr… - Proceedings of the …, 2014 - dl.acm.org
Energy games are a well-studied class of 2-player turn-based games on a finite graph
where transitions are labeled with integer vectors which represent changes in a …

Surface simplification using multi-edge mesh collapse

H Chen, X Luo, R Ling - … on Image and Graphics (ICIG 2007), 2007 - ieeexplore.ieee.org
In computer graphics, object are often represented by triangle meshes. Iterative collapse of
geometric elements is an important way to simplify the meshes. This paper presents a …

Church synthesis on register automata over linearly ordered data domains

L Exibard, E Filiot, A Khalimov - Formal Methods in System Design, 2022 - Springer
In a Church synthesis game, two players, Adam and Eve, alternately pick some element in a
finite alphabet, for an infinite number of rounds. The game is won by Eve if the ω-word …