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Duality in Formal Languages and Logic - a unifying approach to complexity and semantics

Publicaciones

Automata minimization: a functorial approach

Autores: Thomas Colcombet, Daniela Petrisan
Publicado en: Log. Methods Comput. Sci., Edición 16(1), 2020, Página(s) 1:1-1:32, ISSN 1860-5974
Editor: Technischen Universitat Braunschweig
DOI: 10.23638/lmcs-16(1:32)2020

Negative Translations of Orthomodular Lattices and Their Logic

Autores: Wesley Fussner, Gavin St. John
Publicado en: Electronic Proceedings in Theoretical Computer Science, Edición 343, 2021, Página(s) 37-49, ISSN 2075-2180
Editor: Open Publishing Association
DOI: 10.4204/eptcs.343.3

Free Kleene algebras with domain

Autores: Brett McLean
Publicado en: Journal of Logical and Algebraic Methods in Programming, Edición 117, 2020, Página(s) 100606, ISSN 2352-2208
Editor: Elsevier
DOI: 10.1016/j.jlamp.2020.100606

A categorical duality for algebras of partial functions

Autores: Brett McLean
Publicado en: Journal of Pure and Applied Algebra, Edición 225, no. 11, 2021, Página(s) 106755, ISSN 0022-4049
Editor: Elsevier BV
DOI: 10.1016/j.jpaa.2021.106755

Coextensive varieties via Central Elements

Autores: Botero, W. J. Zuluaga
Publicado en: Algebra Universalis, Edición 82, 2021, Página(s) 50, ISSN 0002-5240
Editor: Birkhauser Verlag
DOI: 10.1007/s00012-021-00745-2

Quantifiers on languages and codensity monads

Autores: Mai Gehrke, Daniela Petrişan, Luca Reggio
Publicado en: Mathematical Structures in Computer Science, Edición 30/10, 2020, Página(s) 1054-1088, ISSN 0960-1295
Editor: Cambridge University Press
DOI: 10.1017/s0960129521000074

Priestley duality for MV-algebras and beyond

Autores: Wesley Fussner, Mai Gehrke, Samuel J. van Gool, Vincenzo Marra
Publicado en: Forum Mathematicum, Edición 33/4, 2021, Página(s) 899-921, ISSN 0933-7741
Editor: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/forum-2020-0115

Poset Products as Relational Models

Autores: Wesley Fussner
Publicado en: Studia Logica, 2021, ISSN 0039-3215
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11225-021-09956-z

Checking Admissibility Using Natural Dualities

Autores: Leonardo M. Cabrer, Benjamin Freisberg, George Metcalfe, Hilary A. Priestley
Publicado en: ACM Transactions on Computational Logic, Edición 20/1, 2019, Página(s) 1-19, ISSN 1529-3785
Editor: Association for Computing Machinary, Inc.
DOI: 10.1145/3275115

Codensity, profiniteness and algebras of semiring-valued measures

Autores: Luca Reggio
Publicado en: Journal of Pure and Applied Algebra, Edición 224/1, 2020, Página(s) 181-205, ISSN 0022-4049
Editor: Elsevier BV
DOI: 10.1016/j.jpaa.2019.05.002

Residuation algebras with functional duals

Autores: Wesley Fussner, Alessandra Palmigiano
Publicado en: Algebra universalis, Edición 80/4, 2019, ISSN 0002-5240
Editor: Birkhauser Verlag
DOI: 10.1007/s00012-019-0613-5

A characterisation of the category of compact Hausdorff spaces

Autores: Vincenzo Marra, Luca Reggio
Publicado en: Theory and Applications of Categories, Edición vol. 35, no. 51, 2020, Página(s) 1871-1906, ISSN 1201-561X
Editor: R. Rosebrugh

Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations

Autores: Kurusch Ebrahimi-Fard, Loïc Foissy, Joachim Kock, Frédéric Patras
Publicado en: Advances in Mathematics, Edición 369, 2020, Página(s) 107170, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2020.107170

Some reducibility properties for pseudovarieties of the form DRH

Autores: Célia Borlido
Publicado en: Communications in Algebra, Edición 46/4, 2017, Página(s) 1813-1830, ISSN 0092-7872
Editor: Marcel Dekker Inc.
DOI: 10.1080/00927872.2017.1360328

Checking Admissibility Using Natural Dualities

Autores: Cabrer, Leonardo M.; Freisberg, Benjamin; Metcalfe, George; Priestley, Hilary A.
Publicado en: ACM Transactions of Computer Systems, Edición 1, 2018, ISSN 0734-2071
Editor: Association for Computing Machinary, Inc.

An open mapping theorem for finitely copresented Esakia spaces

Autores: Samuel J. v. Gool, Luca Reggio
Publicado en: Topology and its Applications, Edición 240, 2018, Página(s) 69-77, ISSN 0166-8641
Editor: Elsevier BV
DOI: 10.1016/j.topol.2018.03.006

Newton series, coinductively: a comparative study of composition

Autores: HENNING BASOLD, HELLE HVID HANSEN, JEAN-ÉRIC PIN, JAN RUTTEN
Publicado en: Mathematical Structures in Computer Science, 2017, Página(s) 1-29, ISSN 0960-1295
Editor: Cambridge University Press
DOI: 10.1017/s0960129517000159

A survey on difference hierarchies of regular languages

Autores: Carton, Olivier; Perrin, Dominique; Pin, Jean-Éric
Publicado en: Logical Methods in Computer Science, Edición 1, 2018, Página(s) vol 14, ISSN 1860-5974
Editor: Technischen Universitat Braunschweig
DOI: 10.23638/LMCS-14(1:24)2018

The κ -word problem over DRH

Autores: Célia Borlido
Publicado en: Theoretical Computer Science, Edición 702, 2017, Página(s) 1-22, ISSN 0304-3975
Editor: Elsevier BV
DOI: 10.1016/j.tcs.2017.08.008

Canonical extensions: an algebraic approach to Stone duality

Autores: Mai Gehrke
Publicado en: Algebra universalis, Edición 79/3, 2018, ISSN 0002-5240
Editor: Birkhauser Verlag
DOI: 10.1007/s00012-018-0544-6

An Isbell duality theorem for type refinement systems

Autores: PAUL-ANDRÉ MELLIÈS, NOAM ZEILBERGER
Publicado en: Mathematical Structures in Computer Science, Edición 28/06, 2018, Página(s) 736-774, ISSN 0960-1295
Editor: Cambridge University Press
DOI: 10.1017/s0960129517000068

Uniform Birkhoff

Autores: Mai Gehrke, Michael Pinsker
Publicado en: Journal of Pure and Applied Algebra, Edición 222/5, 2018, Página(s) 1242-1250, ISSN 0022-4049
Editor: Elsevier BV
DOI: 10.1016/j.jpaa.2017.06.016

A general account of coinduction up-to

Autores: Filippo Bonchi, Daniela Petrişan, Damien Pous, Jurriaan Rot
Publicado en: Acta Informatica, Edición 54/2, 2017, Página(s) 127-190, ISSN 0001-5903
Editor: Springer Verlag
DOI: 10.1007/s00236-016-0271-4

Stone duality, topological algebra, and recognition

Autores: Mai Gehrke
Publicado en: Journal of Pure and Applied Algebra, Edición 220/7, 2016, Página(s) 2711-2747, ISSN 0022-4049
Editor: Elsevier BV
DOI: 10.1016/j.jpaa.2015.12.007

On uniformly continuous functions for some profinite topologies

Autores: Jean-Éric Pin, Pedro V. Silva
Publicado en: Theoretical Computer Science, Edición 658, 2017, Página(s) 246-262, ISSN 0304-3975
Editor: Elsevier BV
DOI: 10.1016/j.tcs.2016.06.013

Commutative positive varieties of languages

Autores: Jorge Almeida, Zoltan Ésik, Jean-Éric Pin
Publicado en: Acta Cybernetica, Edición 23, 2017, ISSN 0324-721X
Editor: Szegedi Tudomanyegyetern/University of Szeged
DOI: 10.14232/actacyb.23.1.2017.7

Ultrafilters on words for a fragment of logic

Autores: Mai Gehrke, Andreas Krebs, Jean-Éric Pin
Publicado en: Theoretical Computer Science, Edición 610, 2016, Página(s) 37-58, ISSN 0304-3975
Editor: Elsevier BV
DOI: 10.1016/j.tcs.2015.08.007

Classification of categories with matrices of coefficient 2 and order n

Autores: Samer Allouch, Carlos Simpson
Publicado en: Communications in Algebra, Edición 46/7, 2018, Página(s) 3079-3091, ISSN 0092-7872
Editor: Marcel Dekker Inc.
DOI: 10.1080/00927872.2017.1404081

Complete κ-reducibility of pseudovarieties of the form DRH

Autores: Jorge Almeida, Célia Borlido
Publicado en: International Journal of Algebra and Computation, Edición 27/02, 2017, Página(s) 189-235, ISSN 0218-1967
Editor: World Scientific Publishing Co
DOI: 10.1142/S0218196717500096

Stone duality above dimension zero: Axiomatising the algebraic theory of C(X)

Autores: Vincenzo Marra, Luca Reggio
Publicado en: Advances in Mathematics, Edición 307, 2017, Página(s) 253-287, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2016.11.012

Languages and formations generated by D4 and Q8

Autores: Jean-Éric Pin, Xaro Soler-Escrivà
Publicado en: Theoretical Computer Science, Edición 800, 2019, Página(s) 155-172, ISSN 0304-3975
Editor: Elsevier BV
DOI: 10.1016/j.tcs.2019.10.023

Categorical combinatorics of scheduling and synchronization in game semantics

Autores: Paul-André Mellies
Publicado en: Proceedings of the ACM on Programming Languages, Edición 3/POPL, 2019, Página(s) 1-30, ISSN 2475-1421
Editor: ACM
DOI: 10.1145/3290336

Dialogue Categories and Chiralities

Autores: Paul-André Melliès
Publicado en: Publications of the Research Institute for Mathematical Sciences, Edición 52/4, 2016, Página(s) 359-412, ISSN 0034-5318
Editor: Kyoto Daigaku
DOI: 10.4171/prims/185

Difference hierarchies and duality with an application to formal languages

Autores: Célia Borlido, Mai Gehrke, Andreas Krebs, Howard Straubing
Publicado en: Topology and its Applications, Edición 273, 2020, Página(s) 106975, ISSN 0166-8641
Editor: Elsevier BV
DOI: 10.1016/j.topol.2019.106975

Sheaves and duality

Autores: Mai Gehrke, Samuel J. v. Gool
Publicado en: Journal of Pure and Applied Algebra, Edición 222/8, 2018, Página(s) 2164-2180, ISSN 0022-4049
Editor: Elsevier BV
DOI: 10.1016/j.jpaa.2017.09.004

Germinal theories in Łukasiewicz logic

Autores: Leonardo Manuel Cabrer, Daniele Mundici
Publicado en: Annals of Pure and Applied Logic, Edición 168/5, 2017, Página(s) 1132-1151, ISSN 0168-0072
Editor: Elsevier BV
DOI: 10.1016/j.apal.2016.11.009

Canonical extensions of locally compact frames

Autores: Tomáš Jakl
Publicado en: Topology and its Applications, Edición 273, 2020, Página(s) 106976, ISSN 0166-8641
Editor: Elsevier BV
DOI: 10.1016/j.topol.2019.106976

Unambiguous separators for tropical tree automata

Autores: Thomas Colcombet, and Sylvain Lombardy
Publicado en: Christophe Paul and Markus Bläser, editors, 37th International Symposium on Theoretical Aspects of Computer Science, STACS 2020, Edición March 10-13, 2020, Montpellier, France, volume 154 of LIPIcs, 2020, Página(s) 32:1–32:13
Editor: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
DOI: 10.4230/lipics.stacs.2020.32

Classification of finite semigroups and categories using computational methods

Autores: Fussner, Wesley; Ghannoum, Najwa; Jakl, Tomás; Simpson, Carlos
Publicado en: https://hal.archives-ouvertes.fr/hal-02972963, Edición 1, 2020
Editor: Conference on Artificial Intelligence and Theorem Proving

Mining counterexamples for wide-signature algebras with an Isabelle server

Autores: Fussner, Wesley; Shminke, Boris
Publicado en: 6th Conference on Artificial Intelligence and Theorem Proving, Sep 2021, Aussois, France, Edición 1, 2021
Editor: 6th Conference on Artificial Intelligence and Theorem Proving

Learning automata and transducers: A categorical approach

Autores: Thomas Colcombet, Daniela Petrisan, and Riccardo Stabile
Publicado en: Christel Baier and Jean Goubault-Larrecq, editors, 29th EACSL Annual Conference on Computer Science Logic, CSL 2021, Edición January 25-28, 2021, Ljubljana, Slovenia (Virtual Conference), volume 183 of LIPIcs, 2021, Página(s) 15:1–15:17
Editor: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
DOI: 10.4230/lipics.csl.2021.15

Comprehension and Quotient Structures in the Language of 2-Categories

Autores: Paul-André Melliès; Nicolas Rolland
Publicado en: 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020), Edición 167, 2020, Página(s) 6:1--6:18, ISBN 978-3-95977-155-9
Editor: Schloss Dagstuhl, Leibniz-Zentrum fur Informatik
DOI: 10.4230/lipics.fscd.2020.6

Cost automata, safe schemes, and downward closures

Autores: David Barozzini, Lorenzo Clemente, Thomas Colcombet, and Pawel Parys
Publicado en: Artur Czumaj, Anuj Dawar, and Emanuela Merelli, editors, 47th International Colloquium on Automata, Languages, and Programming, ICALP 2020, Edición July 8-11, 2020, Saarbrücken, Germany (Virtual Conference), volume 168 of LIPIcs, 2020, Página(s) 109:1–109:18
Editor: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
DOI: 10.4230/lipics.icalp.2020.109

INEQUALITIES FOR ONE-STEP PRODUCTS

Autores: Branco , Mário; Pin , Jean-Eric
Publicado en: International Conference on Developments in Language Theory (DLT), Edición LNCS, volume 11088, 2018, Página(s) 156-168
Editor: Springer
DOI: 10.1007/978-3-319-98654-8_13

Up-To Techniques for Behavioural Metrics via Fibrations

Autores: Bonchi, Filippo; König, Barbara; Petrisan, Daniela
Publicado en: 29th International Conference on Concurrency Theory (CONCUR 2018), Edición 1, 2018
Editor: Dagstuhl

Automata in the Category of Glued Vector Spaces

Autores: Colcombet, Thomas; Petrişan, Daniela
Publicado en: 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), Edición 1, 2017, Página(s) 52:1-14
Editor: Dagstuhl

Automata Minimization: a Functorial Approach

Autores: Colcombet, Thomas; Petrişan, Daniela
Publicado en: 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017), Edición 1, 2017
Editor: Dagstuhl

Quantifiers on languages and codensity monads

Autores: Mai Gehrke, Daniela Petrisan, Luca Reggio
Publicado en: 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, Página(s) 1-12, ISBN 978-1-5090-3018-7
Editor: IEEE
DOI: 10.1109/LICS.2017.8005140

Stone Duality and the Substitution Principle

Autores: Célia Borlido, Silke Czarnetzki, Mai Gehrke, Andreas Krebs
Publicado en: 26th EACSL Annual Conference on Computer Science Logic (CSL 2017), 2017
Editor: Dagstuhl
DOI: 10.4230/LIPIcs.CSL.2017.13

Logic and regular cost functions

Autores: Thomas Colcombet
Publicado en: 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, Página(s) 1-4, ISBN 978-1-5090-3018-7
Editor: IEEE
DOI: 10.1109/LICS.2017.8005061

The Schützenberger product for syntactic spaces

Autores: Mai Gehrke, Daniela Petrisan, Luca Reggio
Publicado en: 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016), Edición 55, 2016, Página(s) 112:1--112:14, ISBN 978-3-95977-013-2
Editor: Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik
DOI: 10.4230/LIPIcs.ICALP.2016.112

A bifibrational reconstruction of Lawvere's presheaf hyperdoctrine

Autores: Paul-André Melliès, Noam Zeilberger
Publicado en: Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science - LICS '16, 2016, Página(s) 555-564, ISBN 9781-450343916
Editor: ACM Press
DOI: 10.1145/2933575.2934525

Duality in Computer Science

Autores: Mai Gehrke
Publicado en: Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science - LICS '16, 2016, Página(s) 12-26, ISBN 9781-450343916
Editor: ACM Press
DOI: 10.1145/2933575.2934575

Quantifiers on languages and codensity monads

Autores: Mai Gehrke, Daniela Petrisan, and Luca Reggio
Publicado en: Proceedings of the Thirty-Second Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2017), 2017
Editor: ACM

Higher-order parity automata

Autores: Paul-Andre Mellies
Publicado en: 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, Página(s) 1-12, ISBN 978-1-5090-3018-7
Editor: IEEE
DOI: 10.1109/lics.2017.8005077

Dual space of a lattice as the completion of a Pervin space

Autores: Jean-Éric Pin
Publicado en: Relational and Algebraic Methods in Computer Science 16th International Conference, RAMiCS 2017, Lyon, France, May 15-18, 2017, Proceedings, Edición 10226, 2017, ISBN 978-3-319-57417-2
Editor: Springer
DOI: 10.1007/978-3-319-57418-92

On Reachability Problems for Low-Dimensional Matrix Semigroups

Autores: Colcombet, Thomas; Worrell, James; Ouaknine, Joel; Semukhin, Pavel
Publicado en: "46th International Colloquium on Automata, Languages, and Programming (ICALP 2019), Jul 2019, Patras, Greece. ⟨10.4230/LIPIcs.ICALP.2019.44⟩", Edición 23, 2019
Editor: LIPICS
DOI: 10.4230/LIPIcs.ICALP.2019.44

Optimal transformations of games and automata using muller conditions

Autores: Antonio Casares, Thomas Colcombet, and Nathanaël Fijalkow
Publicado en: Nikhil Bansal, Emanuela Merelli, and James Worrell, editors, 48th International Colloquium on Automata, Languages, and Programming, ICALP 2021, Edición July 12- 16, 2021, Glasgow, Scotland (Virtual Conference), volume 198 of LIPIcs, 2021, Página(s) 123:1–123:14
Editor: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
DOI: 10.4230/lipics.icalp.2021

A complexity approach to tree algebras: the bounded case

Autores: Thomas Colcombet, Arthur Jaquard
Publicado en: Nikhil Bansal, Emanuela Merelli, and James Worrell, editors, 48th International Colloquium on Automata, Languages, and Programming, ICALP 2021, Edición July 12-16, 2021, Glasgow, Scotland (Virtual Conference), volume 198 of LIPIcs, 2021, Página(s) 127:1–127:13
Editor: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
DOI: 10.4230/lipics.icalp.2021.127

A Cook's tour of duality in logic: from quantifiers, through Vietoris, to measures

Autores: Gehrke, Mai; Jakl, Tomas; Reggio, Luca
Publicado en: arxiv, Edición 1, 2020
Editor: arxiv

Learning proofs for the classification of nilpotent semigroups

Autores: Simpson, Carlos
Publicado en: https://hal.archives-ouvertes.fr/hal-03251094, Edición 1, 2021
Editor: HAL archives

Automata and minimization

Autores: Thomas Colcombet, Daniela Petrisan
Publicado en: ACM SIGLOG News, Edición 4(2), April 2017, 2017, Página(s) 3-27
Editor: ACM

Stone duality for languages and complexity

Autores: Mai Gehrke, Andreas Krebs
Publicado en: ACM SIGLOG News, Edición 4(2), April 2017, 2017, Página(s) 28-53
Editor: ACM

Difference-restriction algebras of partial functions with operators: discrete duality and completion

Autores: Borlido, Célia; McLean, Brett
Publicado en: arxiv, Edición 1, 2020
Editor: arxiv

Chapter 7: Open Problems About Regular Languages, 35 Years Later

Autores: Jean-Éric Pin
Publicado en: The Role of Theory in Computer Science: Essays Dedicated to Janusz Brzozowski, 2017, Página(s) 153-175, ISBN 978-981-3148-19-2
Editor: WORLD SCIENTIFIC
DOI: 10.1142/9789813148208_0007

Chapter 8: The Dot-Depth Hierarchy, 45 Years Later

Autores: Jean-Éric Pin
Publicado en: The Role of Theory in Computer Science, 2017, Página(s) 177-201
Editor: WORLD SCIENTIFIC
DOI: 10.1142/9789813148208_0008

Universal Graphs and Good for Games Automata: New Tools for Infinite Duration Games

Autores: Thomas Colcombet, Nathanaël Fijalkow
Publicado en: Foundations of Software Science and Computation Structures - 22nd International Conference, FOSSACS 2019, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2019, Prague, Czech Republic, April 6–11, 2019, Proceedings, Edición 11425, 2019, Página(s) 1-26, ISBN 978-3-030-17126-1
Editor: Springer International Publishing
DOI: 10.1007/978-3-030-17127-8_1

A Duality Theoretic View on Limits of Finite Structures

Autores: Mai Gehrke, Tomáš Jakl, Luca Reggio
Publicado en: Foundations of Software Science and Computation Structures - 23rd International Conference, FOSSACS 2020, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020, Dublin, Ireland, April 25–30, 2020, Proceedings, Edición 12077, 2020, Página(s) 299-318, ISBN 978-3-030-45230-8
Editor: Springer International Publishing
DOI: 10.1007/978-3-030-45231-5_16

Controlling a Random Population

Autores: Thomas Colcombet, Nathanaël Fijalkow, Pierre Ohlmann
Publicado en: Foundations of Software Science and Computation Structures - 23rd International Conference, FOSSACS 2020, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020, Dublin, Ireland, April 25–30, 2020, Proceedings, Edición 12077, 2020, Página(s) 119-135, ISBN 978-3-030-45230-8
Editor: Springer International Publishing
DOI: 10.1007/978-3-030-45231-5_7

Quantificateurs et dualité

Autores: Reggio, Luca
Publicado en: https://tel.archives-ouvertes.fr/tel-02459132, Edición 2, 2018
Editor: Université Paris Diderot

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