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In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another take of the well-posedness of such systems treated in [SIAM…

Optimization and Control · Mathematics 2021-05-31 Fatima-Zahra Lahbiri , Said Hadd

We present an algorithm to learn a deterministic timed automaton (DTA) via membership and equivalence queries. Our algorithm is an extension of the L* algorithm with a Myhill-Nerode style characterization of recognizable timed languages,…

Formal Languages and Automata Theory · Computer Science 2023-05-30 Masaki Waga

We present the first algorithm for query learning Mealy machines with timers in a black-box context. Our algorithm is an extension of the L# algorithm of Vaandrager et al. to a timed setting. We rely on symbolic queries which empower us to…

Formal Languages and Automata Theory · Computer Science 2025-08-20 Véronique Bruyère , Bharat Garhewal , Guillermo A. Pérez , Gaëtan Staquet , Frits W. Vaandrager

Timed automata have been introduced by Rajeev Alur and David Dill in the early 90's. In the last decades, timed automata have become the de facto model for the verification of real-time systems. Algorithms for timed automata are based on…

Logic in Computer Science · Computer Science 2022-07-18 Patricia Bouyer , Paul Gastin , Frédéric Herbreteau , Ocan Sankur , B. Srivathsan

We present an extension of the second-order logic AF2 with iso-style inductive and coinductive definitions specifically designed to extract programs from proofs a la Krivine-Parigot by means of primitive (co)recursion principles. Our logic…

Logic in Computer Science · Computer Science 2012-03-29 Favio Ezequiel Miranda-Perea , Lourdes del Carmen González-Huesca

Timed pushdown automata (TPDA) are an expressive formalism combining recursion with a rich logic of timing constraints. We prove that reachability relations of TPDA are expressible in linear arithmetic, a rich logic generalising Presburger…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Lorenzo Clemente , Sławomir Lasota

In this paper we revisit the regular-language representation of game semantics of second-order recursion free Idealized Algol with infinite data types. By using symbolic values instead of concrete ones we generalize the standard notion of…

Formal Languages and Automata Theory · Computer Science 2012-10-10 Aleksandar S. Dimovski

The deterministic membership problem for timed automata asks whether the timed language recognised by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. We show that the problem is decidable when the…

Formal Languages and Automata Theory · Computer Science 2020-07-21 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

Our paper investigates the linear logic of knowledge and time LTK_r with reflexive intransitive time relation. The logic is defined semantically, -- as the set of formulas which are true at special frames with intransitive and reflexive…

Logic in Computer Science · Computer Science 2014-07-29 Alexandra Lukyanchuk , Vladimir Rybakov

Linearly bounded Turing machines have been mainly studied as acceptors for context-sensitive languages. We define a natural class of infinite automata representing their observable computational behavior, called linearly bounded graphs.…

Logic in Computer Science · Computer Science 2007-05-25 Arnaud Carayol , Antoine Meyer

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

This paper establishes a comprehensive theory of runtime monitorability for Hennessy-Milner logic with recursion, a very expressive variant of the modal $\mu$-calculus. It investigates the monitorability of that logic with a linear-time…

Logic in Computer Science · Computer Science 2019-02-04 Luca Aceto , Antonis Achilleos , Adrian Francalanza , Anna Ingólfsdóttir , Karoliina Lehtinen

In 1990 J-L. Krivine introduced the notion of storage operators. They are $\lambda$-terms which simulate call-by-value in the call-by-name strategy and they can be used in order to modelize assignment instructions. J-L. Krivine has shown…

Logic · Mathematics 2009-05-07 Karim Nour

We propose a generic categorical framework for learning unknown formal languages of various types (e.g. finite or infinite words, weighted and nominal languages). Our approach is parametric in a monad T that represents the given type of…

Formal Languages and Automata Theory · Computer Science 2020-08-31 Henning Urbat , Lutz Schröder

Weighted automata is a basic tool for specification in quantitative verification, which allows to express quantitative features of analysed systems such as resource consumption. Quantitative specification can be assisted by automata…

Computational Complexity · Computer Science 2024-03-04 Jakub Michaliszyn , Jan Otop

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 present a Myhill-Nerode style characterization for languages recognized by one-clock deterministic timed automata (1-DTA). Although there is only one clock, distinct automata may reset it differently along the same word. This adds a…

Formal Languages and Automata Theory · Computer Science 2026-04-15 Kyveli Doveri , Pierre Ganty , B. Srivathsan

The notion of orbit finite data monoid was recently introduced by Bojanczyk as an algebraic object for defining recognizable languages of data words. Following Buchi's approach, we introduce a variant of monadic second-order logic with data…

Formal Languages and Automata Theory · Computer Science 2017-01-11 Gabriele Puppis , Thomas Colcombet , Clemens Ley

Assume-guarantee reasoning is a technique for compositional model checking in which system specifications are checked under certain assumptions on system parameters or inputs, and provide guarantees on observations of system state. We…

Logic in Computer Science · Computer Science 2026-04-06 Matteo Capucci , David Jaz Myers

Timing information leakage occurs whenever an attacker successfully deduces confidential internal information by observing some timed information such as events with timestamps. Timed automata are an extension of finite-state automata with…

Logic in Computer Science · Computer Science 2023-11-01 Étienne André , Engel Lefaucheux , Didier Lime , Dylan Marinho , Jun Sun