Papers

Total: 102 items
  • Kristopher Brown
    "A Category-theoretic Reconstruction of Logical Expressivism"
    Applied Category Theory (2026)
    arXiv:2605.24796
  • Valeria de Paiva, Mariana Feiteiro Cavalari
    "Brazilian Mathematical Community: a brief history"
    2026
    DOI:10.5281/zenodo.21129440
  • David I. Spivak
    "Compositional Dynamics in Learning and Mechanics"
    2026
    arXiv:2606.28984
  • Kevin D. Carlson, Ea E Thompson
    "Exponentiable Virtual Double Categories and Representability of Exponentials"
    2026
    arXiv:2605.20586
  • Valeria de Paiva, Peter Koepke
    "Intelligent Computer Mathematics, Proceedings of CICM 2025"
    18th International Conference, CICM 2025, Brasilia, Brazil, October 6–10, 2025, Proceedings (2026)
    [link]
  • David I. Spivak
    "Interactions that reshape the interfaces of the interacting parties"
    2026
    arXiv:2602.17917
  • Elif Uskuplu, Lawrence S Moss, Valeria de Paiva
    "KnowTeX: Visualizing Mathematical Dependencies"
    2026
    arXiv:2601.15294
  • Fabiana Avais, Valeria de Paiva, Livy Real
    "Textual Inference in Portuguese: Comparing Language Models"
    Proceedings of the 17th International Conference on Computational Processing of Portuguese (PROPOR 2026)-Vol. 2 (2026)
    [link]
  • Christian Freitas, Livy Real, Lilian Berton, Valeria de Paiva
    "Towards a Universal Dependencies Corpus for Portuguese Epidemiological Reports"
    Proceedings of the 17th International Conference on Computational Processing of Portuguese (PROPOR 2026)-Vol. 2 (2026)
    [link]
  • David I Spivak
    "Categories by Kan extension"
    2025
    arXiv:2503.21974
  • Davide Trotta, Manlio Valenti, Valeria de Paiva
    "Categorifying computable reducibilities"
    Logical Methods in Computer Science (LMCS) (2025)
    DOI:10.46298/lmcs-21(1:15)2025
    arXiv:2208.08656
  • Matteo Capucci, David Jaz Myers
    "Classifying strict discrete opfibrations with lax morphisms"
    2025
    arXiv:2510.23531
  • Elena di Lavore, Wilmer Leal, Valeria de Paiva
    "Dialectica Petri Nets"
    Fundamenta Informaticae Volume 194 (2025)
    DOI:10.46298/fi.13125
    arXiv:2105.12801
  • Jason Brown, Kevin Carlson, Sophie Libkind, David Jaz Myers
    "Comparing loose bimodules and double barrels using pseudo-models of enhanced sketches"
    2025
    arXiv:2510.23789
  • Kevin Carlson, Evan Patterson
    "Presheaves on lax double functors; Or, instances of models of double theories"
    Applied Categorical Structures 34 (30), 2026 (2025)
    DOI:10.1007/s10485-026-09866-y
    arXiv:2510.08861
  • V de Paiva, Q Gao, H Hu, P Kovalev, Y Liu, LS Moss, Z Qian
    "Math Natural Language Inference: this should be easy!"
    2025
    arXiv:2507.23063
  • Nelson Niu, David I. Spivak
    "Polynomial Functors: A Mathematical Theory of Interaction"
    Cambridge University Press (2025)
    DOI:10.1017/9781009576734
    arXiv:2312.00099
  • C.B. Aberlé, David I Spivak
    "Polynomial Universes and Dependent Types"
    Mathematical Foundations of Programming Semantics (2025)
    arXiv:2409.19176
  • Luke Morris, George Rauta, Kevin Carlson, James Fairbanks
    "Porous Convection in the Discrete Exterior Calculus with Geometric Multigrid"
    2025
    arXiv:2508.12501
  • L Abzianidze, V de Paiva
    "Proceedings of the 5th Workshop on Natural Logic Meets Machine Learning (NALOMA)"
    ESSLLI 2025 (2025)
  • Grigory Kondyrev, David I Spivak
    "The compact double category Int(Poly_*) models control flow and data transformations"
    2025
    arXiv:2509.05462
  • Sophie Libkind, David Jaz Myers
    "Towards a double operadic theory of systems"
    2025
    arXiv:2505.18329
  • Luiz Carlos Pereira, Elaine Pimentel, Valeria De Paiva
    "Translations and Prawitz's Ecumenical System"
    Studia Logica, vol 113,2 (2025)
    [link]
  • Valeria de Paiva, Alex Simpson
    "40th Conference on Mathematical Foundations of Programming Semantics"
    Mathematical Foundations of Programming Semantics (MFPS 2024) (2024)
    [link]
  • Rebekah Aduddell, James Fairbanks, Amit Kumar, Pablo S. Ocal, Evan Patterson, Brandon T. Shapiro
    "A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks"
    Compositionality (2024)
    DOI:10.32408/compositionality-6-2
    arXiv:2301.01445
  • Tyler Hanks, Baike She, Matthew Hale, Evan Patterson, Matthew Klawonn, James Fairbanks
    "Modeling Model Predictive Control: A Category Theoretic Framework for Multistage Control Problems"
    American Control Conference (ACC 2024) (2024)
    arXiv:2305.03820
  • Tyler Hanks, Matthew Klawonn, Evan Patterson, Matthew Hale, James Fairbanks
    "A Compositional Framework for First-Order Optimization"
    2024
    arXiv:2403.05711
  • Brandon T Shapiro, David I Spivak
    "A Polynomial Construction of Nerves for Higher Categories"
    2024
    arXiv:2405.13157
  • Shaowei Lin, Daniel Windham, Evan Miyazono
    "A Toolchain for AI-Assisted Code Specification, Synthesis and Verification"
    2024
    [link]
  • Maria Manuel Clementino, Valeria de Paiva, Jonathon Funk (eds.)
    "Bunge Festschrift: A special volume celebrating Marta Bunge's contributions to category theory"
    Theory and Applications of Categories (2024)
    [link]
  • Michael Lambert, Evan Patterson
    "Cartesian double theories: A double-categorical framework for categorical doctrines"
    Advances in Mathematics (2024)
    DOI:10.1016/j.aim.2024.109630
    arXiv:2310.05384
  • Luke Morris, Andrew Baas, Jesus Arias, Maia Gatlin, Evan Patterson, James Fairbanks
    "Decapodes: A diagrammatic tool for representing, composing, and computing spatialized partial differential equations"
    Journal of Computational Science (2024)
    DOI:10.1016/j.jocs.2024.102345
    arXiv:2401.17432
  • David I Spivak, Richard Garner, Aaron David Fairbanks
    "Functorial Aggregation"
    Journal of Pure and Applied Algebra (2024)
    arXiv:2111.10968
  • Owen Lynch, Kris Brown, James Fairbanks, Evan Patterson
    "GATlab: Modeling and Programming with Generalized Algebraic Theories"
    Mathematical Foundations of Programming Semantics (MFPS 2024) (2024)
    arXiv:2404.04837
  • Jacob Collard, Valeria de Paiva, Eswaran Subrahmanian
    "Mathematical Entities: Corpora and Benchmarks"
    2024 Joint International Conference on Computational Linguistics, Language Resources and Evaluation (LREC-COLING) (2024)
    arXiv:2406.11577
  • Mateo Capucci, Owen Lynch, David I Spivak
    "Organizing Physics with Open Energy-Driven Sys- tems"
    7th Applied Category Theory conference (2024)
    arXiv:2404.16140
  • Sophie Libkind, David I Spivak
    "Pattern runs on matter: The free monad monad as a module over the cofree comonad comonad"
    7th Applied Category Theory conference (2024)
    arXiv:2404.16321
  • Evan Patterson
    "Products in double categories, revisited"
    2024
    arXiv:2401.08990
  • S Bunge, A Ehresmann, V De Paiva
    "Remembrances of Marta Bunge"
    Theory and Applications of Categories 40, 575-578 (2024)
  • Michael Lambert, Evan Patterson
    "Representing Knowledge and Querying Data using Double-Functorial Semantics"
    Applied Category Theory 2024 (2024)
    arXiv:2403.19884
  • Davide Trotta, Jonathan Weinberger, Valeria de Paiva
    "Skolem, Gödel, and Hilbert fibrations"
    2024
    arXiv:2407.15765
  • Kevin Arlin, James Fairbanks, Tim Hosgood, Evan Patterson
    "The diagrammatic presentation of equations in categories"
    2024
    arXiv:2401.09751
  • Valeria de Paiva, Alexandre Rademaker
    "Towards a Brazilian History Knowledge Graph"
    2024
    arXiv:https://arxiv.org/abs/2403.19856
  • Luiz Carlos Pereira, Elaine Pimentel, Valeria de Paiva
    "Translations and Prawitz's Ecumenical System"
    Studia Logica (2024)
    [link]
  • Evan Patterson
    "Transposing cartesian and other structure in double categories"
    2024
    arXiv:2404.08835
  • David Spivak, Priyaa Srinivasan
    "What kind of linearly distributive category do polynomial functors form?"
    2024
    arXiv:2407.01849
  • Angeline Aguinaldo, Evan Patterson, James Fairbanks, Jaime Ruiz
    "A Categorical Representation Language and Computational System for Knowledge-Based Planning"
    2023 AAAI Fall Symposium on Unifying Representations for Robot Application Development (2023)
    arXiv:2305.17208
  • David I. Spivak, Brandon Shapiro
    "All Concepts are Cat^#"
    2023
    arXiv:2305.02571
  • Valeria de Paiva, Paolo Baldan
    "CALCO 2023 Proceedings"
    LIPIcs, Volume 270 (2023)
    [link]
  • Eloize Rossi Marques Seno, Valéria de Paiva, Vládia Pinheiro
    "Capítulo 9 Semântica com Técnicas Simbólicas"
    2023
    [link]
  • Kristopher Brown, Evan Patterson, Tyler Hanks, James Fairbanks
    "Computational category-theoretic rewriting"
    Journal of Logical and Algebraic Methods in Programming (2023)
    DOI:10.1016/j.jlamp.2023.100888
    arXiv:2111.03784
  • David Jaz Myers, David I Spivak
    "Dirichlet polynomials form a topos"
    The Graduate Journal of Mathematics (2023)
    arXiv:2003.04827
  • Kris Brown, David I. Spivak
    "Dynamic Tracing: a graphical language for rewriting protocols"
    2023
    arXiv:2304.14950
  • Rodrigo Veiga, Markus Endler, Valeria de Paiva
    "Extracting Blockchain Concepts from Text"
    2023
    arXiv:2305.10408
  • Valeria de Paiva, Qiyue Gao, Pavel Kovalev, Lawrence S. Moss
    "Extracting Mathematical Concepts with Large Language Models"
    2023
    arXiv:2309.00642
  • Lucy Horowitz, Valeria de Paiva
    "MathGloss: Building mathematical glossaries from text"
    2023
    arXiv:2311.12649
  • Jacob Collard, Valeria de Paiva, Eswaran Subrahmanian
    "Parmesan: mathematical concept extraction for education"
    2023
    arXiv:2307.06699
  • Singapore Ministry of Communications and Information & Smart Nation Group, in partnership with Topos Institute
    "Preliminary Conversations Towards AI for the Global Good: The SCAI Questions"
    Proceedings of the Singapore Conference on AI for the Global Good, 4-6 December 2023, Singapore (2023)
    [link]
  • Stergios Chatzikyriakidis, Valeria de Paiva
    "Proceedings of the 4th Natural Logic Meets Machine Learning Workshop (NALOMA)"
    ACL Anthology (2023)
    [link]
  • Evan Patterson
    "Structured and decorated cospans from the viewpoint of double category theory"
    Applied Category Theory 2023 (2023)
    DOI:10.4204/EPTCS.397.13
    arXiv:2304.00447
  • Brandon Shapiro, David Spivak
    "Structures on Categories of Polynomials"
    2023
    arXiv:2305.00167
  • Evan Patterson, Andrew Baas, Timothy Hosgood, James Fairbanks
    "A diagrammatic view of differential equations in physics"
    Mathematics in Engineering (2022)
    DOI:10.3934/mine.2023036
    arXiv:2204.01843
  • Sophie Libkind, Andrew Baas, Micah Halter, Evan Patterson, James Fairbanks
    "An Algebraic Framework for Rapid Epidemic Modeling"
    Proceedings of the Royal Society A (2022)
    DOI:10.1098/rsta.2021.0309
    arXiv:2203.16345
  • John Baez, Simon Cho, Daniel Cicala, Nina Otter, Valeria de Paiva
    "Applied category theory in chemistry, computing, and social networks"
    Notices of the American Mathematical Society (2022)
    DOI:10.1090/noti2422
    [link]
  • John Baez, Xiaoyan Li, Sophie Libkind, Nathaniel Osgood, Evan Patterson
    "Compositional Modeling with Stock and Flow Diagrams"
    Applied Category Theory 2022 (2022)
    DOI:10.4204/EPTCS.380.5
    arXiv:2205.08373
  • Kristopher Brown, Evan Patterson, Tyler Hanks, James Fairbanks
    "Computational category-theoretic rewriting"
    Proceedings of the 2022 International Conference on Graph Transformation (2022)
    DOI:10.1007/978-3-031-09843-7_9
    arXiv:2111.03784
  • Aikaterini-Lida Kalouli, Hai Hu, Alexander Frank Webb, Lawrence S. Moss, Valeria de Paiva
    "Curing the SICK and other NLI maladies"
    Computational Linguistics (2022)
  • Davide Trotta, Matteo Spadetto, Valeria de Paiva
    "Dialectica Logical Principles"
    International Symposium on Logical Foundations of Computer Science (2022)
    DOI:10.1007/978-3-030-93100-1_22
    arXiv:2109.08064
  • Davide Trotta, Matteo Spadetto, Valeria de Paiva
    "Dialectica Logical Principles: not only rules"
    Journal of Logic and Computation. (2022)
    DOI:10.1093/logcom/exac079
  • Davide Trotta, Matteo Spadetto, Valeria de Paiva
    "Dialectica Principles via Gödel Doctrines"
    Theoretical Computer Science (2022)
    DOI:10.1016/j.tcs.2023.113692
    arXiv:2205.07093
  • Brandon T. Shapiro, David I. Spivak
    "Duoidal Structures for Compositional Dependence"
    2022
    arXiv:2210.01962
  • Brandon T. Shapiro, David I. Spivak
    "Dynamic operads, dynamic categories: From deep learning to prediction markets"
    Applied Category Theory 2022 (2022)
    arXiv:2205.03906
  • Brandon T. Shapiro
    "Enrichment of Algebraic Higher Categories"
    2022
    arXiv:2205.12235
  • Jacob Collard, Valeria de Paiva, Brendan Fong, Eswaran Subrahmanian
    "Extracting Mathematical Concepts from Text"
    8th Workshop on Noisy User-generated Text (W-NUT) (2022)
    arXiv:2208.1383
  • Joshua Meyers, David I. Spivak, Ryan Wisnesky
    "Fast Left Kan Extensions Using The Chase"
    Journal of Automated Reasoning (2022)
    DOI:10.1007/s10817-022-09634-2
    arXiv:2205.02425
  • Valeria de Paiva, Aikaterini-Lida Kalouli, Livy Real
    "Of Seringueiros and Sambistas: Occupation Mappings in Historical Text"
    2nd DHandNLP (2022)
    [link]
  • David I. Spivak
    "Polynomial functors and Shannon entropy"
    2022
    arXiv:2201.12878
  • C Trojahn, M Finatto, R Vieira, V Paiva
    "Proceedings of the Second Workshop on Digital Humanities and Natural Language Processing"
    PROPOR (2022)
    [link]
  • David I. Spivak
    "A reference for categorical structures on Poly"
    2021
    arXiv:2202.00534
  • E Pimentel, LC Pereira, V de Paiva
    "An ecumenical notion of entailment"
    Synthese 198 (Suppl 22), 5391-5413 (2021)
    [link]
  • Aikaterini-Lida Kalouli, Livy Real, Annebeth Buis, Martha Palmer, Valeria de Paiva
    "Annotation Difficulties in Natural Language Inference"
    Simpósio Brasileiro de Tecnologia da Informação e da Linguagem Humana (STIL) (2021)
    DOI:10.5753/stil.2021.17804
  • Evan Patterson, Owen Lynch, James Fairbanks
    "Categorical Data Structures for Technical Computing"
    Compositionality (2021)
    DOI:10.32408/compositionality-4-5
    arXiv:2106.04703
  • Nelson Niu, David I. Spivak
    "Collectives: Compositional protocols for contributions and returns"
    2021
    arXiv:2112.11518
  • Toby St. Clere Smithe
    "Compositional Active Inference I: Bayesian Lenses. Statistical Games"
    2021
    arXiv:2109.04461
  • John C. Baez, Owen Lynch, Joe Moeller
    "Compositional Thermostatics"
    2021
    arXiv:2111.10315
  • David I. Spivak, Timothy Hosgood
    "Deeply Interactive Learning Systems"
    SIAM News Blog (2021)
    arXiv:2111.01297
    [link]
  • Valeria de Paiva
    "Dialectica Comonads"
    9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021) (2021)
    DOI:10.4230/LIPIcs.CALCO.2021.3
  • Elena Di Lavore, Wilmer Leal, Valeria de Paiva
    "Dialectica Petri Nets"
    2021
    arXiv:2105.12801
  • David I. Spivak, Timothy Hosgood
    "Dirichlet polynomials and entropy"
    Entropy (2021)
    DOI:10.3390/e23081085
    arXiv:2107.04832
  • Luiz Carlos Pereira, Elaine Pimentel, Valeria de Paiva
    "Duas Negações Ecumênicas"
    De Mathematicae atque Philosophicae Elegantia: Notas Festivas para Abel Lassalle Casanave (2021)
  • David I. Spivak
    "Functorial aggregation"
    2021
    arXiv:2111.10968
  • tslil clingman, Brendan Fong, David I. Spivak
    "Graphical Regular Logic: the complete 2-dimensional picture"
    ACT21 (2021)
    [link]
  • Valeria de Paiva, Sergei Artemov
    "Intuitionistic Modal Logic and Applications Proceedings (IMLA 2017)"
    Journal of Applied Logics (2021)
    [link]
  • Valeria de Paiva, Samuel G. da Silva
    "Kolmogorov-Veloso Problems and Dialectica Categories"
    Chapter in book 'A Question is More Illuminating than an Answer. A Festschrift for Paulo A. S. Veloso' (2021)
    arXiv:2107.07854
  • David I. Spivak
    "Learners’ languages"
    2021
    arXiv:2103.01189
  • Sophie Libkind, Andrew Baas, Evan Patterson, James Fairbanks
    "Operadic Modeling of Dynamical Systems: Mathematics and Computation"
    Applied Category Theory 2021 (2021)
    DOI:10.4204/EPTCS.372.14
    arXiv:2105.12282
  • Ugo Dal Lago, Valeria de Paiva
    "Proceedings of 2020 Joint Workshop Linearity & Trends on Linear Logic and Applications"
    Summer of LoVE (Logic and Verification), Paris, France, online (2021)
    DOI:10.4204/EPTCS.353
    arXiv:2112.14305
    [link]
  • Toby St. Clere Smithe
    "Some Notions of (Open) Dynamical System on Polynomial Interfaces"
    2021
    arXiv:2108.11137
  • Brendan Fong, Alberto Speranzon, David I. Spivak
    "Temporal Landscapes: A Graphical Logic of Behavior"
    ACT21 (2021)
    arXiv:1904.01081
    [link]
  • Davide Trotta, Matteo Spadetto, Valeria de Paiva
    "The Gödel Fibration"
    46th International Symposium on Mathematical Foundations of Computer Science (2021)
    DOI:10.4230/LIPIcs.MFCS.2021.87
    arXiv:2104.14021
  • Valeria de Paiva, Livy Real
    "Towards FraCaS-BR"
    OpenCor (2021)
    [link]
  • Paul Tarau, Valeria de Paiva
    "Deriving Theorems in Implicational Linear Logic, Declaratively"
    EPTCS (2020)
    DOI:10.4204/EPTCS.325.18
    arXiv:2009.10241
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