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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

Automata models for data languages (i.e. languages over infinite alphabets) often feature either global or local freshness operators. We show that Bollig et al.'s session automata, which focus on global freshness, are equivalent to regular…

Formal Languages and Automata Theory · Computer Science 2021-01-22 Lutz Schröder , Dexter Kozen , Stefan Milius , Thorsten Wißmann

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

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

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

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

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

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

We develop a general framework for the specification and implementation of systems whose executions are words, or partial orders, over an infinite alphabet. As a model of an implementation, we introduce class register automata, a one-way…

Formal Languages and Automata Theory · Computer Science 2012-01-10 Benedikt Bollig

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

This paper establishes logical and expression-based characterizations for the class of languages recognized by nondeterministic register automata with guessing (NRA) over infinite alphabets. We introduce Scoped MSO, a logic featuring a…

Logic in Computer Science · Computer Science 2026-02-16 Radosław Piórkowski

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

Positive data languages are languages over an infinite alphabet closed under possibly non-injective renamings of data values. Informally, they model properties of data words expressible by assertions about equality, but not inequality, of…

Formal Languages and Automata Theory · Computer Science 2023-07-24 Florian Frank , Stefan Milius , Henning Urbat

We propose an automaton model which is a combination of symbolic and register automata, i.e., we enrich symbolic automata with memory. We call such automata Register Match Automata (RMA). RMA extend the expressive power of symbolic…

Formal Languages and Automata Theory · Computer Science 2018-06-12 Elias Alevizos , Alexander Artikis , Georgios Paliouras

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

Nominal sets provide a foundation for reasoning about names. They are used primarily in syntax with binders, but also, e.g., to model automata over infinite alphabets. In this paper, nominal sets are related to nominal renaming sets, which…

Logic in Computer Science · Computer Science 2019-06-04 Joshua Moerman , Jurriaan Rot

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

We introduce Nominal Matching Logic (NML) as an extension of Matching Logic with names and binding following the Gabbay-Pitts nominal approach. Matching logic is the foundation of the $\mathbb{K}$ framework, used to specify programming…

Logic in Computer Science · Computer Science 2022-07-29 James Cheney , Maribel Fernández

Programs with dynamic allocation are able to create and use an unbounded number of fresh resources, such as references, objects, files, etc. We propose History-Register Automata (HRA), a new automata-theoretic formalism for modelling such…

Programming Languages · Computer Science 2017-01-11 Radu Grigore , Nikos Tzevelekos

A process algebra is proposed, whose semantics maps a term to a nondeterministic finite automaton (NFA, for short). We prove a representability theorem: for each NFA $N$, there exists a process algebraic term $p$ such that its semantics is…

Formal Languages and Automata Theory · Computer Science 2024-02-02 Roberto Gorrieri
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