--- references: - id: aristoteActiveLearningDeterministic2024 abstract: >- We study monoidal transducers, transition systems arising as deterministic automata whose transitions also produce outputs in an arbitrary monoid, for instance allowing outputs to commute or to cancel out. We use the categorical framework for minimization and learning of Colcombet, Petrişan and Stabile to recover the notion of minimal transducer recognizing a language, and give necessary and sufficient conditions on the output monoid for this minimal transducer to exist and be unique (up to isomorphism). The categorical framework then provides an abstract algorithm for learning it using membership and equivalence queries, and we discuss practical aspects of this algorithm’s implementation. accessed: - year: 2024 month: 2 day: 7 author: - family: Aristote given: Quentin citation-key: aristoteActiveLearningDeterministic2024 collection-title: Leibniz International Proceedings in Informatics (LIPIcs) container-title: 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024) DOI: 10.4230/LIPIcs.CSL.2024.11 event-place: Dagstuhl, Germany event-title: Computer Science Logic (CSL) ISBN: 978-3-95977-310-2 ISSN: 1868-8969 issued: - year: 2024 language: en note: Helena Rasiowa award for the Best Student Paper page: 11:1-11:20 publisher: Schloss-Dagstuhl - Leibniz Zentrum für Informatik publisher-place: Dagstuhl, Germany title: >- Active Learning of Deterministic Transducers with Outputs in Arbitrary Monoids type: paper-conference URL: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.11 volume: '288' - id: aristoteActiveLearningUpwardclosed2025 abstract: >- We give a new proof of a result from well quasi-order theory on the computability of bases for upwards-closed sets of words. This new proof is based on Angluin's L* algorithm, that learns an automaton from a minimally adequate teacher. This relates in particular two results from the 1980s: Angluin's L* algorithm, and a result from Valk and Jantzen on the computability of bases for upwards-closed sets of tuples of integers. Along the way, we describe an algorithm for learning quasi-ordered automata from a minimally adequate teacher, and extend a generalization of Valk and Jantzen's result, encompassing both words and integers, to finitely generated monoids. accessed: - year: 2025 month: 5 day: 6 author: - family: Aristote given: Quentin citation-key: aristoteActiveLearningUpwardclosed2025 collection-title: Leibniz International Proceedings in Informatics (LIPIcs) container-title: 11th Conference on Algebra and Coalgebra in Computer Science (CALCO 2025) event-place: Dagstuhl, Germany event-title: Conference on Algebra and Coalgebra in Computer Science (CALCO) issued: - year: 2025 language: en publisher: Schloss Dagstuhl – Leibniz-Zentrum für Informatik publisher-place: Dagstuhl, Germany title: Active learning of upward-closed sets of words type: paper-conference URL: https://hal.science/hal-05051620 - id: aristoteLearningWeightedAutomata2025 abstract: >- We develop a generic reduction procedure for active learning problems. Our approach is inspired by a recent polynomial-time reduction of the exact learning problem for weighted automata over integers to that for weighted automata over rationals (Buna-Marginean et al. 2024). Our procedure improves the efficiency of a category-theoretic automata learning algorithm, and poses new questions about the complexity of its implementation when instantiated to concrete categories. As our second main contribution, we address these complexity aspects in the concrete setting of learning weighted automata over number rings, that is, rings of integers in an algebraic number field. Assuming a full representation of a number ring OK, we obtain an exact learning algorithm of OK-weighted automata that runs in polynomial time in the size of the target automaton, the logarithm of the length of the longest counterexample, the degree of the number field, and the logarithm of its discriminant. Our algorithm produces an automaton that has at most one more state than the minimal one, and we prove that doing better requires solving the principal ideal problem, for which the best currently known algorithm is in quantum polynomial time. accessed: - year: 2025 month: 4 day: 28 author: - family: Aristote given: Quentin - family: Gool given: Sam dropping-particle: van - family: Petrişan given: Daniela - family: Shirmohammadi given: Mahsa citation-key: aristoteLearningWeightedAutomata2025 container-title: >- LICS '25: Proceedings of the 40th Annual ACM/IEEE Symposium on Logic in Computer Science event-place: New York, NY, USA event-title: Logics in Computer Science (LICS) issued: - year: 2025 language: en publisher: The Association for Computing Machinery publisher-place: New York, NY, USA title: Learning Weighted Automata over Number Rings, Concretely and Categorically type: paper-conference URL: https://hal.science/hal-05040143 - id: aristoteMonotoneWeakDistributive2025 abstract: >- In both the category of sets and the category of compact Hausdorff spaces, there is a monotone weak distributive law that combines two layers of non-determinism. Noticing the similarity between these two laws, we study whether the latter can be obtained automatically as a weak lifting of the former. This holds partially, but does not generalize to other categories of algebras. We then characterize when exactly monotone weak distributive laws over powerset monads in categories of algebras exist, on the one hand exhibiting a law combining probabilities and non-determinism in compact Hausdorff spaces and showing on the other hand that such laws do not exist in a lot of other cases. accessed: - year: 2025 month: 2 day: 25 author: - family: Aristote given: Quentin citation-key: aristoteMonotoneWeakDistributive2025 collection-title: Leibniz International Proceedings in Informatics (LIPIcs) container-title: >- 42nd International Symposium on Theoretical Aspects of Computer Science (STACS 2025) DOI: 10.4230/LIPIcs.STACS.2025.10 editor: - family: Beyersdorff given: Olaf - family: Pilipczuk given: Michał - family: Pimentel given: Elaine - family: Thắng given: Nguyễn Kim event-place: Dagstuhl, Germany event-title: Symposium on Theoretical Aspects of Computer Science (STACS) ISBN: 978-3-95977-365-2 ISSN: 1868-8969 issued: - year: 2025 language: en page: 10:1–10:20 publisher: Schloss Dagstuhl – Leibniz-Zentrum für Informatik publisher-place: Dagstuhl, Germany title: >- Monotone Weak Distributive Laws over the Lifted Powerset Monad in Categories of Algebras type: paper-conference URL: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2025.10 volume: '327' ...