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Grammatical inference is concerned with the study of algorithms for learning automata and grammars from words. We focus on learning Nondeterministic Finite Automaton of size k from samples of words. To this end, we formulate the problem as…

Logic in Computer Science · Computer Science 2021-07-15 Frédéric Lardeux , Eric Monfroy

We propose an algorithm for schema-based determinization of finite automata on words and of step-wise hedge automata on nested words. The idea is to integrate schema-based cleaning directly into automata determinization. We prove the…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Joachim Niehren , Momar Sakho , Antonio Al Serhali

Many natural language processing systems operate over tokenizations of text to address the open-vocabulary problem. In this paper, we give and analyze an algorithm for the efficient construction of deterministic finite automata (DFA)…

Formal Languages and Automata Theory · Computer Science 2025-05-27 Martin Berglund , Willeke Martens , Brink van der Merwe

Weighted finite-state automata (WSFAs) are commonly used in NLP. Failure transitions are a useful extension for compactly representing backoffs or interpolation in $n$-gram models and CRFs, which are special cases of WFSAs. The pathsum in…

Data Structures and Algorithms · Computer Science 2023-07-12 Anej Svete , Benjamin Dayan , Tim Vieira , Ryan Cotterell , Jason Eisner

We introduce session automata, an automata model to process data words, i.e., words over an infinite alphabet. Session automata support the notion of fresh data values, which are well suited for modeling protocols in which sessions using…

Logic in Computer Science · Computer Science 2015-07-01 Benedikt Bollig , Peter Habermehl , Martin Leucker , Benjamin Monmege

Sequence generation and prediction form a cornerstone of modern machine learning, with applications spanning natural language processing, program synthesis, and time-series forecasting. These tasks are typically modeled in an autoregressive…

Machine Learning · Computer Science 2025-11-05 Vincenzo Collura , Karim Tit , Laura Bussi , Eleonora Giunchiglia , Maxime Cordy

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

Finitary Idealized Concurrent Algol (FICA) is a prototypical programming language combining functional, imperative, and concurrent computation. There exists a fully abstract game model of FICA, which in principle can be used to prove…

Formal Languages and Automata Theory · Computer Science 2021-01-22 Alex Dixon , Ranko Lazić , Andrzej S. Murawski , Igor Walukiewicz

Jumping automata are finite automata that read their input in a non-consecutive manner, disregarding the order of the letters in the word. We introduce and study jumping automata over infinite words. Unlike the setting of finite words,…

Formal Languages and Automata Theory · Computer Science 2023-04-05 Shaull Almagor , Omer Yizhaq

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

Complex Event Recognition and Forecasting (CER/F) techniques attempt to detect, or even forecast ahead of time, event occurrences in streaming input using predefined event patterns. Such patterns are not always known in advance, or they…

Artificial Intelligence · Computer Science 2022-09-01 Nikos Katzouris , Georgios Paliouras

Deterministic and nondeterministic finite automata with translucent letters were introduced by Nagy and Otto more than a decade ago as Cooperative Distributed systems of a kind of stateless restarting automata with window size one. These…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Benedek Nagy

Random feature (RF) method is a powerful kernel approximation technique, but is typically equipped with fixed activation functions, limiting its adaptability across diverse tasks. To overcome this limitation, we introduce the Random Feature…

Machine Learning · Computer Science 2025-11-06 Zailin Ma , Jiansheng Yang , Yaodong Yang

Unambiguous non-deterministic finite automata have intermediate expressive power and succinctness between deterministic and non-deterministic automata. It has been conjectured that every unambiguous non-deterministic one-way finite…

Computational Complexity · Computer Science 2018-02-15 Michael Raskin

A complete deterministic finite (semi)automaton (DFA) with a set of states $Q$ is \emph{completely reachable} if every nonempty subset of $Q$ is the image of the action of some word applied to $Q$. The concept of completely reachable…

Formal Languages and Automata Theory · Computer Science 2025-02-12 Robert Ferens , Marek Szykuła

We give an unique string representation, up to isomorphism, for initially connected deterministic finite automata (ICDFAs) with n states over an alphabet of k symbols. We show how to generate all these strings for each n and k, and how its…

Formal Languages and Automata Theory · Computer Science 2009-06-16 Rogério Reis , Nelma Moreira , Marco Almeida

In the field of computational logic, two classes of finite automata are considered fundamental: deterministic and nondeterministic automata (DFAs and NFAs). In a more fine-grained approach three natural intermediate classes were introduced,…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Karolina Drabik , Anita Dürr , Fabian Frei , Filip Mazowiecki , Karol Węgrzycki

One of the properties of Kondacs-Watrous model of quantum finite automata (QFA) is that the probability of the correct answer for a QFA cannot be amplified arbitrarily. In this paper, we determine the maximum probabilities achieved by QFAs…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Arnolds Kikusts

A misspecified reward can degrade sample efficiency and induce undesired behaviors in reinforcement learning (RL) problems. We propose symbolic reward machines for incorporating high-level task knowledge when specifying the reward signals.…

Artificial Intelligence · Computer Science 2022-04-22 Weichao Zhou , Wenchao Li

A non-deterministic recursion scheme recognizes a language of finite trees. This very expressive model can simulate, among others, higher-order pushdown automata with collapse. We show decidability of the diagonal problem for schemes. This…

Formal Languages and Automata Theory · Computer Science 2016-05-03 Lorenzo Clemente , Paweł Parys , Sylvain Salvati , Igor Walukiewicz