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We study languages over infinite alphabets equipped with some structure that can be tested by recognizing automata. We develop a framework for studying such alphabets and the ensuing automata theory, where the key role is played by an automorphism group of the alphabet. In the process, we generalize nominal sets due to Gabbay and Pitts.
, 2025, Query Learning Bounds for Advice and Nominal Automata, Lecture notes in computer science, pp. 257-278, 10.1007/978-3-031-78709-6_13.
, 2024, Automata and Grammars for Data Words, Lecture notes in computer science, pp. 3-16, 10.1007/978-3-031-71112-1_1.
;Yu-Yang Lin
;Nikos Tzevelekos
, 2024, Pushdown Normal-Form Bisimulation: A Nominal Context-Free Approach to Program Equivalence, Proceedings of the 39th Annual ACM/IEEE Symposium on Logic in Computer Science, pp. 1-15, 10.1145/3661814.3662103.
;Hiroyuki SEKI
, 2023, Pumping Lemmas for Languages Expressed by Computational Models with Registers, IEICE Transactions on Information and Systems, E106.D, 3, pp. 284-293, 10.1587/transinf.2022fcp0004, https://doi.org/10.1587/transinf.2022fcp0004.
;Alexander Kurz
, 2023, Completeness of Nominal PROPs, Logical Methods in Computer Science, Volume 19, Issue 1, 10.46298/lmcs-19(1:8)2023, https://doi.org/10.46298/lmcs-19(1:8)2023.
;Gabriel Ciobanu
, 2022, Soft Sets with Atoms, Mathematics, 10, 12, pp. 1956, 10.3390/math10121956, https://doi.org/10.3390/math10121956.
;Stefan Milius
;Henning Urbat
, 2022, Coalgebraic Semantics for Nominal Automata, Lecture notes in computer science, pp. 45-66, 10.1007/978-3-031-10736-8_3.
;Victor Lagerkvist, 2022, General Lower Bounds and Improved Algorithms for Infinite–Domain CSPs, Algorithmica, 85, 1, pp. 188-215, 10.1007/s00453-022-01017-8, https://doi.org/10.1007/s00453-022-01017-8.
;Hiroyuki Seki
, 2022, Active Learning for Deterministic Bottom-Up Nominal Tree Automata, Lecture notes in computer science, pp. 342-359, 10.1007/978-3-031-17715-6_22.
;Falk Howar
, 2022, $$\textsc {Reach}$$ on Register Automata via History Independence, Lecture notes in computer science, pp. 11-30, 10.1007/978-3-031-09827-7_2.
;Sławomir Lasota
;Szymon Toruńczyk
, 2021, Nondeterministic and co-Nondeterministic Implies Deterministic, for Data Languages, Lecture notes in computer science, pp. 365-384, 10.1007/978-3-030-71995-1_19, https://doi.org/10.1007/978-3-030-71995-1_19.
;Stefan Milius
;Lutz Schröder
, 2021, A Linear-Time Nominal μ-Calculus with Name Allocation, Leibniz-Zentrum für Informatik (Schloss Dagstuhl), 10.4230/lipics.mfcs.2021.58, https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2021.58.
;Stefan Milius
;Thorsten Wißmann
, 2021, Coalgebra Encoding for Efficient Minimization, Leibniz-Zentrum für Informatik (Schloss Dagstuhl), 10.4230/lipics.fscd.2021.28, https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2021.28.
;Daniel Hausmann
;Stefan Milius
;Lutz Schröder
, 2021, Nominal Büchi Automata with Name Allocation, arXiv (Cornell University), 10.4230/lipics.concur.2021.4, http://arxiv.org/abs/2107.03213.
;Bertalan Bodor
, 2021, Permutation groups with small orbit growth, Journal of Group Theory, 24, 4, pp. 643-709, 10.1515/jgth-2018-0220, https://doi.org/10.1515/jgth-2018-0220.
;Bartek Klin
;Joshua Moerman
, 2021, Orbit-Finite-Dimensional Vector Spaces and Weighted Register Automata, Data Archiving and Networked Services (DANS), 10.1109/lics52264.2021.9470634.
, 2021, Algebras of UTxO blockchains, Mathematical Structures in Computer Science, 31, 9, pp. 1034-1089, 10.1017/s0960129521000438, https://doi.org/10.1017/s0960129521000438.
;Hiroyuki SEKI
, 2021, Forward Regularity Preservation Property of Register Pushdown Systems, IEICE Transactions on Information and Systems, E104.D, 3, pp. 370-380, 10.1587/transinf.2020fcp0008, https://doi.org/10.1587/transinf.2020fcp0008.
;Hiroyuki Seki
, 2021, Reactive Synthesis from Visibly Register Pushdown Automata, Lecture notes in computer science, pp. 334-353, 10.1007/978-3-030-85315-0_19.
;Hiroyuki Seki
, 2021, LTL Model Checking for Register Pushdown Systems, IEICE Transactions on Information and Systems, E104.D, 12, pp. 2131-2144, 10.1587/transinf.2020edp7265, https://doi.org/10.1587/transinf.2020edp7265.
;Falk Howar
, 2021, A Taxonomy and Reductions for Common Register Automata Formalisms, Lecture notes in computer science, pp. 186-218, 10.1007/978-3-030-91384-7_10.
;Lutz Schröder
, 2020, Automata Learning, Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science, pp. 900-914, 10.1145/3373718.3394775.
;Reo Yoshimura;Yoshiaki Takata
, 2020, Optimal run problem for weighted register automata, Theoretical Computer Science, 850, pp. 185-201, 10.1016/j.tcs.2020.11.003.
, 2020, On the Complexity of the Universality and Inclusion Problems for Unambiguous Context-Free Grammars, Electronic Proceedings in Theoretical Computer Science, 320, pp. 29-43, 10.4204/eptcs.320.2, https://doi.org/10.4204/eptcs.320.2.
;Stefan Kiefer
, 2020, Selective monitoring, Journal of Computer and System Sciences, 117, pp. 99-129, 10.1016/j.jcss.2020.09.003.
;Hiroyuki SEKI
, 2020, Generalized Register Context-Free Grammars, IEICE Transactions on Information and Systems, E103.D, 3, pp. 540-548, 10.1587/transinf.2019fcp0010, https://doi.org/10.1587/transinf.2019fcp0010.
;Tobias Kappé
;Jurriaan Rot
;Matteo Sammartino
;Alexandra Silva
, 2019, Tree Automata as Algebras: Minimisation and Determinisation, Leibniz-Zentrum für Informatik (Schloss Dagstuhl), 10.4230/lipics.calco.2019.6, https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2019.6.
;Stefan Milius
;Lutz Schröder
;Thorsten Wißmann
, 2019, Generic Partition Refinement and Weighted Tree Automata, arXiv (Cornell University), pp. 280-297, 10.1007/978-3-030-30942-8_18, http://arxiv.org/abs/1811.08850.
;Reo Yoshimura;Yoshiaki Takata
, 2019, Optimal Run Problem for Weighted Register Automata, Lecture notes in computer science, pp. 91-110, 10.1007/978-3-030-32505-3_6.
;Sławomir Lasota
;Ranko Lazić
;Filip Mazowiecki
, 2019, Binary Reachability of Timed-register Pushdown Automata and Branching Vector Addition Systems, ACM Transactions on Computational Logic, 20, 3, pp. 1-31, 10.1145/3326161.
, 2019, Equivariant ZFA and the foundations of nominal techniques, arXiv (Cornell University), 30, 2, pp. 525-548, 10.1093/logcom/exz015, http://arxiv.org/abs/1801.09443.
;Hiroyuki Seki
, 2019, Generalized Register Context-Free Grammars, Lecture notes in computer science, pp. 259-271, 10.1007/978-3-030-13435-8_19.
, 2019, On Learning Nominal Automata with Binders, Electronic Proceedings in Theoretical Computer Science, 304, pp. 137-155, 10.4204/eptcs.304.9, https://doi.org/10.4204/eptcs.304.9.
;Jurriaan Rot
, 2018, Fast Computations on Ordered Nominal Sets, Lecture notes in computer science, pp. 493-512, 10.1007/978-3-030-02508-3_26.
;Radosław Piórkowski, 2018, WQO Dichotomy for 3-Graphs, Lecture notes in computer science, pp. 548-564, 10.1007/978-3-319-89366-2_30, https://doi.org/10.1007/978-3-319-89366-2_30.
;Szymon Toruńczyk
, 2017, LOIS: syntax and semantics, ACM SIGPLAN Notices, 52, 1, pp. 586-598, 10.1145/3093333.3009876.
;Matteo Sammartino
;Alexandra Silva
;Bartek Klin
;Michał Szynwelski, 2017, Learning nominal automata, ACM SIGPLAN Notices, 52, 1, pp. 613-625, 10.1145/3093333.3009879.
, 2017, Free functor from the category of G-nominal sets to that of 01-G-nominal sets, Soft Computing, 22, 11, pp. 3637-3648, 10.1007/s00500-017-2793-2.
;Dexter Kozen
;Stefan Milius
;Thorsten Wißmann
, 2017, Nominal Automata with Name Binding, Lecture notes in computer science, pp. 124-142, 10.1007/978-3-662-54458-7_8.
;Kh. Keshvardoost;M. Mahmoudi
, 2017, Simple and subdirectly irreducible finitely supported Cb-sets, Theoretical Computer Science, 706, pp. 1-21, 10.1016/j.tcs.2017.08.003.
;Jerome Leroux
;Patrick Totzke
, 2017, Linear combinations of unordered data vectors, Edinburgh Research Explorer (University of Edinburgh), pp. 1-11, 10.1109/lics.2017.8005065, http://ieeexplore.ieee.org/document/8005065/.
;Daniela Petrişan, 2017, Automata and minimization, ACM SIGLOG News, 4, 2, pp. 4-27, 10.1145/3090064.3090066.
, 2016, Nominal techniques, ACM SIGLOG News, 3, 1, pp. 57-72, 10.1145/2893582.2893594, https://doi.org/10.1145/2893582.2893594.
;Michał Szynwelski, 2016, SMT Solving for Functional Programming over Infinite Structures, Electronic Proceedings in Theoretical Computer Science, 207, pp. 57-75, 10.4204/eptcs.207.3, https://doi.org/10.4204/eptcs.207.3.
;Szymon Toruńczyk
, 2016, LOIS: syntax and semantics, Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages, pp. 586-598, 10.1145/3009837.3009876.
;Matteo Sammartino
;Alexandra Silva
;Bartek Klin
;Michał Szynwelski, 2016, Learning nominal automata, arXiv (Cornell University), pp. 613-625, 10.1145/3009837.3009879, http://arxiv.org/abs/1607.06268.
;Antoine Mottet
, 2016, Reducts of finitely bounded homogeneous structures, and lifting tractability from finite-domain constraint satisfaction, Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science, pp. 623-632, 10.1145/2933575.2934515.
;Sławomir Lasota
;Ranko Lazić
;Jérôme Leroux
;Sylvain Schmitz
;et al., 2016, Coverability Trees for Petri Nets with Unordered Data, pp. 445-461, 10.1007/978-3-662-49630-5_26, https://inria.hal.science/hal-01252674.
, 2016, Decidability Border for Petri Nets with Data: WQO Dichotomy Conjecture, Lecture notes in computer science, pp. 20-36, 10.1007/978-3-319-39086-4_3, https://doi.org/10.1007/978-3-319-39086-4_3.
;Eryk Kopczynski
;Joanna Ochremiak;Szymon Torunczyk
, 2015, Locally Finite Constraint Satisfaction Problems, 2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science, abs 1203 1876, pp. 475-486, 10.1109/lics.2015.51.
;Konstantinos Mamouras
;Alexandra Silva
, 2015, Completeness and Incompleteness in Nominal Kleene Algebra, Lecture notes in computer science, pp. 51-66, 10.1007/978-3-319-24704-5_4.
;Konstantinos Mamouras
;Daniela Petrişan;Alexandra Silva
, 2015, Nominal Kleene Coalgebra, Lecture notes in computer science, pp. 286-298, 10.1007/978-3-662-47666-6_23.
