Duality in Formal Languages and Logic - a unifying approach to complexity and semantics | DuaLL | Project | Results | H2020 | CORDIS

Automata minimization: a functorial approach

Author(s): Thomas Colcombet, Daniela Petrisan
Published in: Log. Methods Comput. Sci., Issue 16(1), 2020, Page(s) 1:1-1:32, ISSN 1860-5974
Publisher: Technischen Universitat Braunschweig
DOI: 10.23638/lmcs-16(1:32)2020

Negative Translations of Orthomodular Lattices and Their Logic

Author(s): Wesley Fussner, Gavin St. John
Published in: Electronic Proceedings in Theoretical Computer Science, Issue 343, 2021, Page(s) 37-49, ISSN 2075-2180
Publisher: Open Publishing Association
DOI: 10.4204/eptcs.343.3

Free Kleene algebras with domain

Author(s): Brett McLean
Published in: Journal of Logical and Algebraic Methods in Programming, Issue 117, 2020, Page(s) 100606, ISSN 2352-2208
Publisher: Elsevier
DOI: 10.1016/j.jlamp.2020.100606

A categorical duality for algebras of partial functions

Author(s): Brett McLean
Published in: Journal of Pure and Applied Algebra, Issue 225, no. 11, 2021, Page(s) 106755, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2021.106755

Coextensive varieties via Central Elements

Author(s): Botero, W. J. Zuluaga
Published in: Algebra Universalis, Issue 82, 2021, Page(s) 50, ISSN 0002-5240
Publisher: Birkhauser Verlag
DOI: 10.1007/s00012-021-00745-2

Quantifiers on languages and codensity monads

Author(s): Mai Gehrke, Daniela Petrişan, Luca Reggio
Published in: Mathematical Structures in Computer Science, Issue 30/10, 2020, Page(s) 1054-1088, ISSN 0960-1295
Publisher: Cambridge University Press
DOI: 10.1017/s0960129521000074

Priestley duality for MV-algebras and beyond

Author(s): Wesley Fussner, Mai Gehrke, Samuel J. van Gool, Vincenzo Marra
Published in: Forum Mathematicum, Issue 33/4, 2021, Page(s) 899-921, ISSN 0933-7741
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/forum-2020-0115

Poset Products as Relational Models

Author(s): Wesley Fussner
Published in: Studia Logica, 2021, ISSN 0039-3215
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11225-021-09956-z

Checking Admissibility Using Natural Dualities

Author(s): Leonardo M. Cabrer, Benjamin Freisberg, George Metcalfe, Hilary A. Priestley
Published in: ACM Transactions on Computational Logic, Issue 20/1, 2019, Page(s) 1-19, ISSN 1529-3785
Publisher: Association for Computing Machinary, Inc.
DOI: 10.1145/3275115

Codensity, profiniteness and algebras of semiring-valued measures

Author(s): Luca Reggio
Published in: Journal of Pure and Applied Algebra, Issue 224/1, 2020, Page(s) 181-205, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2019.05.002

Residuation algebras with functional duals

Author(s): Wesley Fussner, Alessandra Palmigiano
Published in: Algebra universalis, Issue 80/4, 2019, ISSN 0002-5240
Publisher: Birkhauser Verlag
DOI: 10.1007/s00012-019-0613-5

A characterisation of the category of compact Hausdorff spaces

Author(s): Vincenzo Marra, Luca Reggio
Published in: Theory and Applications of Categories, Issue vol. 35, no. 51, 2020, Page(s) 1871-1906, ISSN 1201-561X
Publisher: R. Rosebrugh

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

Author(s): Kurusch Ebrahimi-Fard, Loïc Foissy, Joachim Kock, Frédéric Patras
Published in: Advances in Mathematics, Issue 369, 2020, Page(s) 107170, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2020.107170

Some reducibility properties for pseudovarieties of the form DRH

Author(s): Célia Borlido
Published in: Communications in Algebra, Issue 46/4, 2017, Page(s) 1813-1830, ISSN 0092-7872
Publisher: Marcel Dekker Inc.
DOI: 10.1080/00927872.2017.1360328

Checking Admissibility Using Natural Dualities

Author(s): Cabrer, Leonardo M.; Freisberg, Benjamin; Metcalfe, George; Priestley, Hilary A.
Published in: ACM Transactions of Computer Systems, Issue 1, 2018, ISSN 0734-2071
Publisher: Association for Computing Machinary, Inc.

An open mapping theorem for finitely copresented Esakia spaces

Author(s): Samuel J. v. Gool, Luca Reggio
Published in: Topology and its Applications, Issue 240, 2018, Page(s) 69-77, ISSN 0166-8641
Publisher: Elsevier BV
DOI: 10.1016/j.topol.2018.03.006

Newton series, coinductively: a comparative study of composition

Author(s): HENNING BASOLD, HELLE HVID HANSEN, JEAN-ÉRIC PIN, JAN RUTTEN
Published in: Mathematical Structures in Computer Science, 2017, Page(s) 1-29, ISSN 0960-1295
Publisher: Cambridge University Press
DOI: 10.1017/s0960129517000159

A survey on difference hierarchies of regular languages

Author(s): Carton, Olivier; Perrin, Dominique; Pin, Jean-Éric
Published in: Logical Methods in Computer Science, Issue 1, 2018, Page(s) vol 14, ISSN 1860-5974
Publisher: Technischen Universitat Braunschweig
DOI: 10.23638/LMCS-14(1:24)2018

The κ -word problem over DRH

Author(s): Célia Borlido
Published in: Theoretical Computer Science, Issue 702, 2017, Page(s) 1-22, ISSN 0304-3975
Publisher: Elsevier BV
DOI: 10.1016/j.tcs.2017.08.008

Canonical extensions: an algebraic approach to Stone duality

Author(s): Mai Gehrke
Published in: Algebra universalis, Issue 79/3, 2018, ISSN 0002-5240
Publisher: Birkhauser Verlag
DOI: 10.1007/s00012-018-0544-6

An Isbell duality theorem for type refinement systems

Author(s): PAUL-ANDRÉ MELLIÈS, NOAM ZEILBERGER
Published in: Mathematical Structures in Computer Science, Issue 28/06, 2018, Page(s) 736-774, ISSN 0960-1295
Publisher: Cambridge University Press
DOI: 10.1017/s0960129517000068

Uniform Birkhoff

Author(s): Mai Gehrke, Michael Pinsker
Published in: Journal of Pure and Applied Algebra, Issue 222/5, 2018, Page(s) 1242-1250, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2017.06.016

A general account of coinduction up-to

Author(s): Filippo Bonchi, Daniela Petrişan, Damien Pous, Jurriaan Rot
Published in: Acta Informatica, Issue 54/2, 2017, Page(s) 127-190, ISSN 0001-5903
Publisher: Springer Verlag
DOI: 10.1007/s00236-016-0271-4

Stone duality, topological algebra, and recognition

Author(s): Mai Gehrke
Published in: Journal of Pure and Applied Algebra, Issue 220/7, 2016, Page(s) 2711-2747, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2015.12.007

On uniformly continuous functions for some profinite topologies

Author(s): Jean-Éric Pin, Pedro V. Silva
Published in: Theoretical Computer Science, Issue 658, 2017, Page(s) 246-262, ISSN 0304-3975
Publisher: Elsevier BV
DOI: 10.1016/j.tcs.2016.06.013

Commutative positive varieties of languages

Author(s): Jorge Almeida, Zoltan Ésik, Jean-Éric Pin
Published in: Acta Cybernetica, Issue 23, 2017, ISSN 0324-721X
Publisher: Szegedi Tudomanyegyetern/University of Szeged
DOI: 10.14232/actacyb.23.1.2017.7

Ultrafilters on words for a fragment of logic

Author(s): Mai Gehrke, Andreas Krebs, Jean-Éric Pin
Published in: Theoretical Computer Science, Issue 610, 2016, Page(s) 37-58, ISSN 0304-3975
Publisher: Elsevier BV
DOI: 10.1016/j.tcs.2015.08.007

Classification of categories with matrices of coefficient 2 and order n

Author(s): Samer Allouch, Carlos Simpson
Published in: Communications in Algebra, Issue 46/7, 2018, Page(s) 3079-3091, ISSN 0092-7872
Publisher: Marcel Dekker Inc.
DOI: 10.1080/00927872.2017.1404081

Complete κ-reducibility of pseudovarieties of the form DRH

Author(s): Jorge Almeida, Célia Borlido
Published in: International Journal of Algebra and Computation, Issue 27/02, 2017, Page(s) 189-235, ISSN 0218-1967
Publisher: World Scientific Publishing Co
DOI: 10.1142/S0218196717500096

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

Author(s): Vincenzo Marra, Luca Reggio
Published in: Advances in Mathematics, Issue 307, 2017, Page(s) 253-287, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2016.11.012

Languages and formations generated by D4 and Q8

Author(s): Jean-Éric Pin, Xaro Soler-Escrivà
Published in: Theoretical Computer Science, Issue 800, 2019, Page(s) 155-172, ISSN 0304-3975
Publisher: Elsevier BV
DOI: 10.1016/j.tcs.2019.10.023

Categorical combinatorics of scheduling and synchronization in game semantics

Author(s): Paul-André Mellies
Published in: Proceedings of the ACM on Programming Languages, Issue 3/POPL, 2019, Page(s) 1-30, ISSN 2475-1421
Publisher: ACM
DOI: 10.1145/3290336

Dialogue Categories and Chiralities

Author(s): Paul-André Melliès
Published in: Publications of the Research Institute for Mathematical Sciences, Issue 52/4, 2016, Page(s) 359-412, ISSN 0034-5318
Publisher: Kyoto Daigaku
DOI: 10.4171/prims/185

Difference hierarchies and duality with an application to formal languages

Author(s): Célia Borlido, Mai Gehrke, Andreas Krebs, Howard Straubing
Published in: Topology and its Applications, Issue 273, 2020, Page(s) 106975, ISSN 0166-8641
Publisher: Elsevier BV
DOI: 10.1016/j.topol.2019.106975

Sheaves and duality

Author(s): Mai Gehrke, Samuel J. v. Gool
Published in: Journal of Pure and Applied Algebra, Issue 222/8, 2018, Page(s) 2164-2180, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2017.09.004

Germinal theories in Łukasiewicz logic

Author(s): Leonardo Manuel Cabrer, Daniele Mundici
Published in: Annals of Pure and Applied Logic, Issue 168/5, 2017, Page(s) 1132-1151, ISSN 0168-0072
Publisher: Elsevier BV
DOI: 10.1016/j.apal.2016.11.009

Canonical extensions of locally compact frames

Author(s): Tomáš Jakl
Published in: Topology and its Applications, Issue 273, 2020, Page(s) 106976, ISSN 0166-8641
Publisher: Elsevier BV
DOI: 10.1016/j.topol.2019.106976

Unambiguous separators for tropical tree automata

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

Classification of finite semigroups and categories using computational methods

Author(s): Fussner, Wesley; Ghannoum, Najwa; Jakl, Tomás; Simpson, Carlos
Published in: https://hal.archives-ouvertes.fr/hal-02972963, Issue 1, 2020
Publisher: Conference on Artificial Intelligence and Theorem Proving

Mining counterexamples for wide-signature algebras with an Isabelle server

Author(s): Fussner, Wesley; Shminke, Boris
Published in: 6th Conference on Artificial Intelligence and Theorem Proving, Sep 2021, Aussois, France, Issue 1, 2021
Publisher: 6th Conference on Artificial Intelligence and Theorem Proving

Learning automata and transducers: A categorical approach

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

Comprehension and Quotient Structures in the Language of 2-Categories

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

Cost automata, safe schemes, and downward closures

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

INEQUALITIES FOR ONE-STEP PRODUCTS

Author(s): Branco , Mário; Pin , Jean-Eric
Published in: International Conference on Developments in Language Theory (DLT), Issue LNCS, volume 11088, 2018, Page(s) 156-168
Publisher: Springer
DOI: 10.1007/978-3-319-98654-8_13

Up-To Techniques for Behavioural Metrics via Fibrations

Author(s): Bonchi, Filippo; König, Barbara; Petrisan, Daniela
Published in: 29th International Conference on Concurrency Theory (CONCUR 2018), Issue 1, 2018
Publisher: Dagstuhl

Automata in the Category of Glued Vector Spaces

Author(s): Colcombet, Thomas; Petrişan, Daniela
Published in: 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), Issue 1, 2017, Page(s) 52:1-14
Publisher: Dagstuhl

Automata Minimization: a Functorial Approach

Author(s): Colcombet, Thomas; Petrişan, Daniela
Published in: 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017), Issue 1, 2017
Publisher: Dagstuhl

Quantifiers on languages and codensity monads

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

Stone Duality and the Substitution Principle

Author(s): Célia Borlido, Silke Czarnetzki, Mai Gehrke, Andreas Krebs
Published in: 26th EACSL Annual Conference on Computer Science Logic (CSL 2017), 2017
Publisher: Dagstuhl
DOI: 10.4230/LIPIcs.CSL.2017.13

Logic and regular cost functions

Author(s): Thomas Colcombet
Published in: 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, Page(s) 1-4, ISBN 978-1-5090-3018-7
Publisher: IEEE
DOI: 10.1109/LICS.2017.8005061

The Schützenberger product for syntactic spaces

Author(s): Mai Gehrke, Daniela Petrisan, Luca Reggio
Published in: 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016), Issue 55, 2016, Page(s) 112:1--112:14, ISBN 978-3-95977-013-2
Publisher: Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik
DOI: 10.4230/LIPIcs.ICALP.2016.112

A bifibrational reconstruction of Lawvere's presheaf hyperdoctrine

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

Duality in Computer Science

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

Quantifiers on languages and codensity monads

Author(s): Mai Gehrke, Daniela Petrisan, and Luca Reggio
Published in: Proceedings of the Thirty-Second Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2017), 2017
Publisher: ACM

Higher-order parity automata

Author(s): Paul-Andre Mellies
Published in: 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, Page(s) 1-12, ISBN 978-1-5090-3018-7
Publisher: IEEE
DOI: 10.1109/lics.2017.8005077

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

Author(s): Jean-Éric Pin
Published in: Relational and Algebraic Methods in Computer Science 16th International Conference, RAMiCS 2017, Lyon, France, May 15-18, 2017, Proceedings, Issue 10226, 2017, ISBN 978-3-319-57417-2
Publisher: Springer
DOI: 10.1007/978-3-319-57418-92

On Reachability Problems for Low-Dimensional Matrix Semigroups

Author(s): Colcombet, Thomas; Worrell, James; Ouaknine, Joel; Semukhin, Pavel
Published in: "46th International Colloquium on Automata, Languages, and Programming (ICALP 2019), Jul 2019, Patras, Greece. ⟨10.4230/LIPIcs.ICALP.2019.44⟩", Issue 23, 2019
Publisher: LIPICS
DOI: 10.4230/LIPIcs.ICALP.2019.44

Optimal transformations of games and automata using muller conditions

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

A complexity approach to tree algebras: the bounded case

Author(s): Thomas Colcombet, Arthur Jaquard
Published in: Nikhil Bansal, Emanuela Merelli, and James Worrell, editors, 48th International Colloquium on Automata, Languages, and Programming, ICALP 2021, Issue July 12-16, 2021, Glasgow, Scotland (Virtual Conference), volume 198 of LIPIcs, 2021, Page(s) 127:1–127:13
Publisher: 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

Author(s): Gehrke, Mai; Jakl, Tomas; Reggio, Luca
Published in: arxiv, Issue 1, 2020
Publisher: arxiv

Learning proofs for the classification of nilpotent semigroups

Author(s): Simpson, Carlos
Published in: https://hal.archives-ouvertes.fr/hal-03251094, Issue 1, 2021
Publisher: HAL archives

Automata and minimization

Author(s): Thomas Colcombet, Daniela Petrisan
Published in: ACM SIGLOG News, Issue 4(2), April 2017, 2017, Page(s) 3-27
Publisher: ACM

Stone duality for languages and complexity

Author(s): Mai Gehrke, Andreas Krebs
Published in: ACM SIGLOG News, Issue 4(2), April 2017, 2017, Page(s) 28-53
Publisher: ACM

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

Author(s): Borlido, Célia; McLean, Brett
Published in: arxiv, Issue 1, 2020
Publisher: arxiv

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

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

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

Author(s): Jean-Éric Pin
Published in: The Role of Theory in Computer Science, 2017, Page(s) 177-201
Publisher: WORLD SCIENTIFIC
DOI: 10.1142/9789813148208_0008

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

Author(s): Thomas Colcombet, Nathanaël Fijalkow
Published in: 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, Issue 11425, 2019, Page(s) 1-26, ISBN 978-3-030-17126-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-17127-8_1

A Duality Theoretic View on Limits of Finite Structures

Author(s): Mai Gehrke, Tomáš Jakl, Luca Reggio
Published in: 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, Issue 12077, 2020, Page(s) 299-318, ISBN 978-3-030-45230-8
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-45231-5_16

Controlling a Random Population

Author(s): Thomas Colcombet, Nathanaël Fijalkow, Pierre Ohlmann
Published in: 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, Issue 12077, 2020, Page(s) 119-135, ISBN 978-3-030-45230-8
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-45231-5_7

Quantificateurs et dualité

Author(s): Reggio, Luca
Published in: https://tel.archives-ouvertes.fr/tel-02459132, Issue 2, 2018
Publisher: Université Paris Diderot

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

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