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Partition refinement is a method for minimizing automata and transition systems of various types. Recently, we have developed a partition refinement algorithm that is generic in the transition type of the given system and matches the run…

Data Structures and Algorithms · Computer Science 2020-11-26 Thorsten Wißmann , Hans-Peter Deifel , Stefan Milius , Lutz Schröder

Partition refinement is a method for minimizing automata and transition systems of various types. Recently, a new partition refinement algorithm and associated tool CoPaR were developed that are generic in the transition type of the input…

Data Structures and Algorithms · Computer Science 2022-04-14 Fabian Birkmann , Hans-Peter Deifel , Stefan Milius

We present a generic partition refinement algorithm that quotients coalgebraic systems by behavioural equivalence, an important task in system analysis and verification. Coalgebraic generality allows us to cover not only classical…

Data Structures and Algorithms · Computer Science 2023-06-22 Thorsten Wißmann , Ulrich Dorsch , Stefan Milius , Lutz Schröder

We present a generic partition refinement algorithm that quotients coalgebraic systems by behavioural equivalence, an important task in reactive verification; coalgebraic generality implies in particular that we cover not only classical…

Data Structures and Algorithms · Computer Science 2026-01-21 Ulrich Dorsch , Stefan Milius , Lutz Schröder , Thorsten Wißmann

Algorithms for partition refinement are actively studied for a variety of systems, often with the optimisation called Hopcroft's trick. However, the low-level description of those algorithms in the literature often obscures the essence of…

Formal Languages and Automata Theory · Computer Science 2024-05-03 Takahiro Sanada , Ryota Kojima , Yuichi Komorida , Koko Muroya , Ichiro Hasuo

We provide a generic algorithm for constructing formulae that distinguish behaviourally inequivalent states in systems of various transition types such as nondeterministic, probabilistic or weighted; genericity over the transition type is…

Logic in Computer Science · Computer Science 2021-09-29 Thorsten Wißmann , Stefan Milius , Lutz Schröder

Determinisation and completion of finite tree automata are important operations with applications in program analysis and verification. However, the complexity of the classical procedures for determinisation and completion is high. They are…

Formal Languages and Automata Theory · Computer Science 2017-11-02 John P. Gallagher , Mai Ajspur , Bishoksan Kafle

A refinement of manifold data is a computational process, which produces a denser set of discrete data from a given one. Such refinements are closely related to multiresolution representations of manifold data by pyramid transforms, and…

Numerical Analysis · Mathematics 2016-11-18 Nira Dyn , Nir Sharon

Automata-based modeling languages, like Component Interaction Automata, offer an attractive means to capture and analyze the behavioral aspects of interacting components. At the center of these modeling languages we find finite state…

Software Engineering · Computer Science 2010-10-15 Markus Lumpe , Rajesh Vasa

This paper introduces the Partition Tree Weighting technique, an efficient meta-algorithm for piecewise stationary sources. The technique works by performing Bayesian model averaging over a large class of possible partitions of the data…

Information Theory · Computer Science 2012-11-22 Joel Veness , Martha White , Michael Bowling , András György

We investigate finite deterministic automata in sets with non-homogeneous atoms: integers with successor. As there are uncount- ably many deterministic finite automata in this setting, we restrict our attention to automata with semilinear…

Logic in Computer Science · Computer Science 2012-10-19 Mikołaj Bojańczyk , Sławomir Lasota

We provide a generic algorithm for constructing formulae that distinguish behaviourally inequivalent states in systems of various transition types such as nondeterministic, probabilistic or weighted; genericity over the transition type is…

Logic in Computer Science · Computer Science 2023-11-20 Thorsten Wißmann , Stefan Milius , Lutz Schröder

Background. The supertree problem, i.e., the task of finding a common refinement of a set of rooted trees is an important topic in mathematical phylogenetics. The special case of a common leaf set $L$ is known to be solvable in linear time.…

Data Structures and Algorithms · Computer Science 2021-09-27 David Schaller , Marc Hellmuth , Peter F. Stadler

We introduce saturation of nondeterministic tree automata, a technique that consists of adding new transitions to an automaton while preserving its language. We implemented our algorithm on minotaut - a module of the tree automata library…

Formal Languages and Automata Theory · Computer Science 2016-12-16 Ricardo Manuel de Oliveira Almeida

A featured transition system is a transition system in which the transitions are annotated with feature expressions: Boolean expressions on a finite number of given features. Depending on its feature expression, each individual transition…

Formal Languages and Automata Theory · Computer Science 2017-02-28 Uli Fahrenberg , Axel Legay

Reachable set computation is an important tool for analyzing control systems. Simulating a control system can show general trends, but a formal tool like reachability analysis can provide guarantees of correctness. Reachability analysis for…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Chelsea Sidrane , Jana Tumova

Monte Carlo simulations are an essential tool in particle physics data analysis. Events are typically generated alongside weights that redistribute the cross section of the simulated process across the phase space. These weights can be…

High Energy Physics - Phenomenology · Physics 2026-05-13 Benjamin Nachman , Dennis Noll

We study parallel algorithms for the minimization of Deterministic Finite Automata (DFAs). In particular, we implement four different massively parallel algorithms on Graphics Processing Units (GPUs). Our results confirm the expectations…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-31 Jan Martens , Anton Wijs

A weight normalization procedure, commonly called pushing, is introduced for weighted tree automata (wta) over commutative semifields. The normalization preserves the recognized weighted tree language even for nondeterministic wta, but it…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Thomas Hanneforth , Andreas Maletti , Daniel Quernheim

Recently, we have developed an efficient generic partition refinement algorithm, which computes behavioural equivalence on a state-based system given as an encoded coalgebra, and implemented it in the tool CoPaR. Here we extend this to a…

Data Structures and Algorithms · Computer Science 2022-11-10 Hans-Peter Deifel , Stefan Milius , Thorsten Wißmann
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