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We present a new algorithm IDS for incremental learning of deterministic finite automata (DFA). This algorithm is based on the concept of distinguishing sequences introduced in (Angluin81). We give a rigorous proof that two versions of this…

Machine Learning · Computer Science 2012-06-14 Muddassar A. Sindhu , Karl Meinke

We characterize the class of nondeterministic ${\omega}$-automata that can be used for the analysis of finite Markov decision processes (MDPs). We call these automata `good-for-MDPs' (GFM). We show that GFM automata are closed under classic…

Formal Languages and Automata Theory · Computer Science 2019-10-31 Ernst Moritz Hahn , Mateo Perez , Fabio Somenzi , Ashutosh Trivedi , Sven Schewe , Dominik Wojtczak

We present an extension of the Angluin-style learning algorithm for tree automata that incorporates deductive inference. The learning algorithm is provided with a term rewriting system that specifies properties of the target tree language…

Formal Languages and Automata Theory · Computer Science 2026-05-25 Jakub Kopystiański , Jan Otop

In this paper, we introduce rerailing automata for $\omega$-regular languages. They generalize both deterministic parity (DPW) and minimized history-deterministic co-B\"uchi automata (with transition based acceptance, HdTbcBW) while…

Formal Languages and Automata Theory · Computer Science 2025-03-12 Rüdiger Ehlers

We investigate a learning algorithm in the context of nominal automata, an extension of classical automata to alphabets featuring names. This class of automata captures nominal regular languages; analogously to the classical language…

Formal Languages and Automata Theory · Computer Science 2019-09-16 Yi Xiao , Emilio Tuosto

Ordered binary decision diagrams (OBDDs) are a fundamental data structure for the manipulation of Boolean functions, with strong applications to finite-state symbolic model checking. OBDDs allow for efficient algorithms using top-down…

Logic in Computer Science · Computer Science 2025-02-18 Michael Blondin , Michaël Cadilhac , Xin-Yi Cui , Philipp Czerner , Javier Esparza , Jakob Schulz

We introduce Weak-PDE-LEARN, a Partial Differential Equation (PDE) discovery algorithm that can identify non-linear PDEs from noisy, limited measurements of their solutions. Weak-PDE-LEARN uses an adaptive loss function based on weak forms…

Machine Learning · Computer Science 2023-09-12 Robert Stephany , Christopher Earls

When omega-regular objectives were first proposed in model-free reinforcement learning (RL) for controlling MDPs, deterministic Rabin automata were used in an attempt to provide a direct translation from their transitions to scalar values.…

Formal Languages and Automata Theory · Computer Science 2022-05-09 Ernst Moritz Hahn , Mateo Perez , Sven Schewe , Fabio Somenzi , Ashutosh Trivedi , Dominik Wojtczak

A nondeterministic automaton is semantically deterministic (SD) if different nondeterministic choices in the automaton lead to equivalent states. Semantic determinism is interesting as it is a natural relaxation of determinism, and as some…

Formal Languages and Automata Theory · Computer Science 2023-05-26 Bader Abu Radi , Orna Kupferman

We present an algorithm for active learning of deterministic timed automata with multiple clocks. The algorithm is within the querying framework of Angluin's $L^*$ algorithm and follows the idea proposed in existing work on the active…

Formal Languages and Automata Theory · Computer Science 2024-05-21 Yu Teng , Miaomiao Zhang , Jie An

While many applications of automata in formal methods can use nondeterministic automata, some applications, most notably synthesis, need deterministic or good-for-games (GFG) automata. The latter are nondeterministic automata that can…

Logic in Computer Science · Computer Science 2023-06-22 Bader Abu Radi , Orna Kupferman

We propose DFAMiner, a passive learning tool for learning minimal separating deterministic finite automata (DFA) from a set of labelled samples. Separating automata are an interesting class of automata that occurs generally in regular model…

Formal Languages and Automata Theory · Computer Science 2024-05-30 Daniele Dell'Erba , Yong Li , Sven Schewe

We introduce partially ordered two-way B\"uchi automata and characterize their expressive power in terms of fragments of first-order logic FO[<]. Partially ordered two-way B\"uchi automata are B\"uchi automata which can change the direction…

Formal Languages and Automata Theory · Computer Science 2015-05-19 Manfred Kufleitner , Alexander Lauser

This paper proposes a new algorithm for the generation of unambiguous B\"uchi automata (UBA) from LTL formulas. Unlike existing tableau-based LTL-to-UBA translations, our algorithm deals with very weak alternating automata (VWAA) as an…

Formal Languages and Automata Theory · Computer Science 2019-07-08 Simon Jantsch , David Müller , Christel Baier , Joachim Klein

Many methods for the verification of complex computer systems require the existence of a tractable mathematical abstraction of the system, often in the form of an automaton. In reality, however, such a model is hard to come up with, in…

Formal Languages and Automata Theory · Computer Science 2023-08-09 Stefan Zetzsche

The identification of a deterministic finite automaton (DFA) from labeled examples is a well-studied problem in the literature; however, prior work focuses on the identification of monolithic DFAs. Although monolithic DFAs provide accurate…

Formal Languages and Automata Theory · Computer Science 2022-05-27 Niklas Lauffer , Beyazit Yalcinkaya , Marcell Vazquez-Chanlatte , Ameesh Shah , Sanjit A. Seshia

Current state-of-the-art few-shot learners focus on developing effective training procedures for feature representations, before using simple, e.g. nearest centroid, classifiers. In this paper, we take an orthogonal approach that is…

Machine Learning · Computer Science 2021-08-30 Xueting Zhang , Debin Meng , Henry Gouk , Timothy Hospedales

We introduce the Differentiable Weightless Neural Network (DWN), a model based on interconnected lookup tables. Training of DWNs is enabled by a novel Extended Finite Difference technique for approximate differentiation of binary values. We…

This letter proposes a novel reinforcement learning method for the synthesis of a control policy satisfying a control specification described by a linear temporal logic formula. We assume that the controlled system is modeled by a Markov…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Ryohei Oura , Ami Sakakibara , Toshimitsu Ushio

Accurate representational learning of both the explicit and implicit relationships within data is critical to the ability of machines to perform more complex and abstract reasoning tasks. We describe the efficient weakly supervised learning…

Computation and Language · Computer Science 2015-11-23 Richard Searle , Megan Bingham-Walker