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Related papers: Nominal Automata with Name Binding

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Data words with binders formalize concurrently allocated memory. Most name-binding mechanisms in formal languages, such as the $\lambda$-calculus, adhere to properly nested scoping. In contrast, stateful programming languages with explicit…

Formal Languages and Automata Theory · Computer Science 2026-03-26 Simon Prucker , Stefan Milius , Lutz Schröder

Infinite words over infinite alphabets serve as models of the temporal development of the allocation and (re-)use of resources over linear time. We approach omega-languages over infinite alphabets in the setting of nominal sets, and study…

Formal Languages and Automata Theory · Computer Science 2021-07-13 Henning Urbat , Daniel Hausmann , Stefan Milius , Lutz Schröder

This paper provides a coalgebraic approach to the language semantics of two types of non-deterministic automata over nominal sets: non-deterministic orbit-finite automata (NOFAs) and regular nominal non-deterministic automata (RNNAs), which…

Logic in Computer Science · Computer Science 2022-03-30 Florian Frank , Stefan Milius , Henning Urbat

Nominal automata models serve as a formalism for data languages, and in fact often relate closely to classical register models. The paradigm of name allocation in nominal automata helps alleviate the pervasive computational hardness of…

Logic in Computer Science · Computer Science 2026-02-11 Hannes Schulze , Lutz Schröder , Üsame Cengiz

Logics and automata models for languages over infinite alphabets, such as Freeze LTL and register automata, serve the verification of processes or documents with data. They relate tightly to formalisms over nominal sets, such as…

Formal Languages and Automata Theory · Computer Science 2021-08-23 Daniel Hausmann , Stefan Milius , Lutz Schröder

Formal languages over infinite alphabets serve as abstractions of structures and processes carrying data. Automata models over infinite alphabets, such as classical register automata or, equivalently, nominal orbit-finite automata, tend to…

Formal Languages and Automata Theory · Computer Science 2025-05-20 Florian Frank , Daniel Hausmann , Stefan Milius , Lutz Schröder , Henning Urbat

Data trees serve as an abstraction of structured data, such as XML documents. A number of specification formalisms for languages of data trees have been developed, many of them adhering to the paradigm of register automata, which is based…

Formal Languages and Automata Theory · Computer Science 2024-07-12 Simon Prucker , Lutz Schröder

We propose regular expressions to abstractly model and study properties of resource-aware computations. Inspired by nominal techniques -- as those popular in process calculi -- we extend classical regular expressions with names (to model…

Formal Languages and Automata Theory · Computer Science 2013-10-29 Alexander Kurz , Tomoyuki Suzuki , Emilio Tuosto

Kleene algebra axioms are complete with respect to both language models and binary relation models. In particular, two regular expressions recognise the same language if and only if they are universally equivalent in the model of binary…

Logic in Computer Science · Computer Science 2023-06-22 Paul Brunet , Damien Pous

We are motivated by the following question: which data languages admit an active learning algorithm? This question was left open in previous work by the authors, and is particularly challenging for languages recognised by nondeterministic…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Joshua Moerman , Matteo Sammartino

Nominal set plays a central role in a group-theoretic extension of finite automata to those over an infinite set of data values. Moerman et al. proposed an active learning algorithm for nominal word automata with the equality symmetry. In…

Formal Languages and Automata Theory · Computer Science 2022-08-18 R. Nakanishi , Y. Takata , H. Seki

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

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

We consider a computational model which is known as set automata. The set automata are one-way finite automata with an additional storage---the set. There are two kinds of set automata---the deterministic and the nondeterministic ones. We…

Formal Languages and Automata Theory · Computer Science 2017-10-30 Alexander A. Rubtsov , Mikhail N. Vyalyi

Concurrent Kleene Algebra (CKA) is a formalism to study concurrent programs. Like previous Kleene Algebra extensions, developing a correspondence between denotational and operational perspectives is important, for both foundations and…

Formal Languages and Automata Theory · Computer Science 2023-02-03 Tobias Kappé , Paul Brunet , Bas Luttik , Alexandra Silva , Fabio Zanasi

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

In this paper, we present a systematic way of deriving (1) languages of (generalised) regular expressions, and (2) sound and complete axiomatizations thereof, for a wide variety of systems. This generalizes both the results of Kleene (on…

Logic in Computer Science · Computer Science 2015-07-01 Alexandra Silva , Marcello Bonsangue , Jan Rutten

Automata operating on pairs of words were introduced as an alternative way of capturing acceptance of regular $\omega$-languages. Families of DFAs and lasso automata operating on such pairs followed, giving rise to minimisation algorithms,…

Formal Languages and Automata Theory · Computer Science 2024-03-13 Mike Cruchten

This work studies the question of learning probabilistic deterministic automata from language models. For this purpose, it focuses on analyzing the relations defined on algebraic structures over strings by equivalences and similarities on…

Formal Languages and Automata Theory · Computer Science 2024-12-16 Matías Carrasco , Franz Mayr , Sergio Yovine

We define a class of languages of infinite words over infinite alphabets, and the corresponding automata. The automata used for recognition are a generalisation of deterministic Muller automata to the setting of nominal sets. Remarkably,…

Formal Languages and Automata Theory · Computer Science 2013-10-16 Vincenzo Ciancia , Matteo Sammartino
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