Accepted Abstracts

The following abstracts have been accepted for presentation at TACL 2026.

Author(s) Title of abstract
Adam Přenosil Decidability in integral conuclear residuated lattices
Sándor Jenei Layer decomposition: finite residuated chains
Rodrigo Nicolau Almeida and Qian Chen Interpolation in bi-intuitionistic logics
Silvio Ghilardi and Jérémie Marquès A completeness theorem for topological doctrines
Simo Mthethwa The frame of ideals of closed subsets and its applications
Manuel Mancini, Giuseppe Metere and Federica Piazza On actions and split extensions in varieties of hoops
Eduardo Magalhães Rewriting Systems on Arbitrary Monoids
Tenyo Takahashi Being a union-splitting is decidable in modal logic
John Stokes-Waters A Model Companion for an Extension of Abelian Lattice-Ordered Groups
Marco Abbadini, Rodrigo Nicolau Almeida and Igor Arrieta A topos for étale-finite Heyting algebras
Valeria Giustarini, Nikolaos Galatos and Sara Ugolini Semiconical residuated lattices with an idempotent skeleton
Michal Botur Semi-direct products and similar constructions of residuated lattices
Chancelle Kamga, Celestin Lele, Jean Nganou and Lutz Strungmann Semi-divisible rings
Grzegorz Pastuszak Introduction to the model theory of modules
Jim de Groot, Ian Shillito and Ranald Clouston A Duality Theorem for Constructive K
Francesco Manfucci and Paolo Agliano' Structural completeness in basic hoops and BL-algebras
Václav Cenker, Ivan Chajda and Helmut Länger Symmetric Difference in Lattices With Complementation
Luca Carai, Miriam Kurtzhals and Tommaso Moraschini Implicit operations in varieties of commutative monoids
Nicholas Ferenz, Andrew Tedder and Max Lin Algebraic Semantics for First-Order Relevant Logics
Ondrej Majer, Krishna Manoorkar, Wolfgang Poiger and Igor Sedlár Knowledge on a Budget
Luca Carai and Tommaso Moraschini On the universal theory of the free pseudocomplemented distributive lattice
Luca Carai, Miriam Kurtzhals and Tommaso Moraschini The Beth companion: making implicit operations explicit
Rafal Gruszczynski, Luca Carai, Ivo Düntsch and Anna Laura Suarez Ultracontact algebras and stack systems
Constantine Tsinakis Conrad Frames and Structural Transfer from $\ell$-Groups to Prelinear Residuated Lattices
Nick Bezhanishvili and Qian Chen Interpolation in Two-Dimensional Cylindric Modal Logic
Cerene Rathilal Unicoherence in Locales
Sebastian Stokłosa Axiomatization of logics complete with respect to 3-element Semi-Heyting algebras
Libor Behounek Semiring-Valued Logics with Twist-Structure Semantics
Augustin Albert, Jérémy Dubut and Eric Goubault Homological Algebra in Abelian Framed Bicategories
Chun-Yu Lin Many-Valued Coalgerbaic Lindstrom's Theorem
Arun Kumar, Neha Gaur and Bisham Dewan A Unified Categorical Duality for Preminimal Negation and Beyond: Extending Compatibility Semantics Along Dunn's Negation Hierarchy
Arun Kumar, Bisham Dewan and Neha Gaur Quad Rings and Quad Algebras: From Duality to Logical Perspective
Guillaume Raymond Geoffroy Cut-free Deductive Systems for Affine and Continuous Intuitionistic Logic
Amanda Vidal and Ricardo Oscar Rodriguez Axiomatizing logics of finite G¨odel-Kripke models
Hugo Bazille and Uli Fahrenberg Automata on Graph Alphabets
Mariami Gamsakhurdia and Matthias Baaz The Eliminability of Delta in Gödel Logics
Pedro Rodríguez Díaz and Tommaso Moraschini On the theory of finite Gödel Algebras
Ranjan A Semantics for Modal Language Based on Subset Approximation Structure
Dmitry Bredikhin On pseudo-associative conjunctive operations on relations of rank 3
Jorge Picado Localic distances and asymmetric metrization theorems
Stefano Bonzio, Andrea Loi and Giuseppe Zecchini Topological and differentiable aspects of Clifford semigroups
Guillermo Badia, Carles Noguera, Alberto Paparella and Guido Sciavicco Reasoning in the real world with BL multi-modal logic
Josef von Hoffmann Doyle and Wesley Fussner Interpolation in the Inquisitive Hierarchy
Teo Šestak Algebras and general frames for interpretability logics
Niels Vooijs and David Fernández-Duque Enumerability of Alexandrov Dynamic Topological Logic
Ludovico Fusco Closure l-monoids and their proof theory
Umberto Rivieccio and Ramon Jansana Duality for quasi-Nelson algebras with recovery operators
James Carr Sequent Calculi in Semiring Semantics
Fosco Loregian Automata in bicategories, with an eye on Probabilistic Metrics
Sławomir Przybyło Double equivalential algebras
Manuel Mancini, Giuseppe Metere and Federica Piazza Coherent and ideal actions in ideally exact categories with an application to varieties of universal algebras
Ludovico Fusco and Francesco Paoli Enriched Płonka sums
David Forsman Constructing the Object of Bialgebras in a 2-Category with PIE-Limits
Francesco Paoli, Gandolfo Vergottini, Nicolò Zamperlin and Davide Fazio On Bochvar algebras and regular double Stone algebras
Tomáš Jakl and Luca Reggio A representation theory of arboreal categories
Francesco Tognetti Modally definable polyhedra.
Isabel Hortelano Martín and George Metcalfe Theorems of alternatives, algebraically
Simon Lemal, Rodrigo Nicolau Almeida and Nick Bezhanishvili Superamalgamation for modal lattices via non-distributive dualities
Simon Santschi and Nick Galatos Varieties of distributive l-pregroups
Fabio De Martin Polo and Han Gao A Nested Approach to Relevant Logic
João Areias and Jorge Picado Basic zero-dimensional spaces: A unifying framework for continuity and openness
Benno van den Berg and Josje van der Laan A Directed Refinement of Constructive Ordinals in Algebraic Set Theory
Igor Arrieta and Anna Laura Suarez The lattice of smooth sublocales as a Bruns-Lakser completion
Miriam Kurtzhals, Tommaso Moraschini and Luca Carai Implicit operations in reduced commutative rings
Yiwen Ding, Krishna Manoorkar, Alessandra Palmigiano, Ni Wayan Switrayni and Ruoding Wang Defeasible Reasoning on Concepts
Rodrigo Nicolau Almeida and Matteo de Berardinis Coequivalence relations and descent in modal and superintuitionistic logic
Nick Galatos, Serafina Lapenta and Sebastiano Napolitano On the lattice of subvarieties of equational states
Simon Kreuzer Modal Logics of Zariski-constructible and Semialgebraic Sets
Sebastian Melzer Generalizing the d-nucleus to stably continuous frames
Stefano Fioravanti, Michael Kompatcher and Bernardo Rossi Clonoids over finite vector spaces and related computational problems
Ana Belen Avilez Garcia Coz-Inclusions
Noemí Lubomirsky, Maria Paula Menchon and Hernán San Martín Hemi-Nelson algebras
Graham Manuell Dual presentations of frames
Timo Franssen Tense Information Logic with Incomparable Fusion and Overlap
Nikolaos Galatos, Peter Jipsen, Søren Brinck Knudstorp and Revantha Ramanayake Bunched implication logic is undecidable
Joshua Passmore Revisiting the localic Kuratowski-Mrówka theorem
Ranjitha Raviprakash TD-coreflection pointfreely and its generalization to other separation axioms
Małgorzata Jastrzębska and Emília Halušková Easy direct limits property in some classes of algebras
Ivan Tomasic Categorical logic in difference and differential algebra
Olivia Caramello and Bruno Drieux Relative (co-)Yoneda Lemma for Categories Indexed over a Small-Generated Site
Aditya Prakash Categorical Investigations of Algebraic Properties
Olivia Caramello and Gabriel Merlin Relative Points and Completions of Indexed Categories
Umberto Tarantino, Sam van Gool and Jérémie Marquès Conceptual completeness for geometric logic via ultraconvergence spaces
José Siqueira Regular hyperdoctrines as double functors
Papiya Bhattacharjee Studying Primes of an Algebraic Frame without the FIP
Yiwen Ding and Alexander Kurz Quantale-Enriched Universal Algebra: Completeness
Brendan Dufty and Nikolaos Galatos A Non-Distributive Equivalence for Finite Pointed Brouwerian Algebras and their Algebras of Fractions
Marta Bilkova, Peter Jipsen and Melissa Sugimoto On the structure of involutive partially ordered monoids as models of multiplicative fragments of linear logic
Evgeny Kuznetsov, Konstantine Razmadze and Levan Uridia Craig Interpolation in the Logic of Temporal Linear Structures
Joseph McDonald MacNeille Completion and Canonical Completion of Monadic Ortholattices
Vincenzo Marra, Luca Reggio and Caterina Sioli Arithmetic polytopes, ordered groups, and affine monoids: a duality theorem
Andrea De Domenico, Giuseppe Greco, Alexander Kurz, Brandon Laing and Apostolos Tzimoulis Quantale-enriched proof theory
Wieslaw Kubis Evolution systems and embedding-projection pairs
Denisa Diaconescu, Erik Rybakken, Leona Hioki, Mario Yaksetig, Frantisek Silvasi and Julian Sutherland Intmax2: A Secure Blockchain Protocol Enabled by Lattice-Ordered Abelian Groups
Killian Barbé, Sam van Gool and Daniela Petrişan Revisiting Completeness of Fixpoint Logics
Giuseppe Greco, Brandon Laing and Fei Liang How to build categorical semantics of proofs for the basic modal Lambek logic and beyond
Gabriel Saadia and Errol Yuksel Soberness as idempotent-completeness: towards a formal model theory of virtual ultracategories
Matthew James Lynn and Gerhard Lakemeyer Towards a Computational Approach to Combining Coalgebraic Logics
Gaia Petreni The equivalential fragment of FLew
David Holgate, Ana Belen Avalez and Bakulukira Claude Iragi Adjoints and the preservation of order
Joshua Wrigley and Edmund Robinson Lifting structure from states to propositions: the various Day extensions available
Nesta van der Schaaf Localic Relations with Open Cones
Tomasz Kowalski and Katarzyna Słomczyńska A generic construction of free algebras in varieties of Hilbert algebras and Brouwerian semilattices
Arturo De Faveri Rings and Boolean Algebras as Algebraic Theories
David Quinn Alvarez Esakia duality for temporal Heyting algebras
Richard Garner, Alyssa Renata and Nicolas Wu Stone Duality for Monads
Matías Menni and Luca Spada Regular epi in the regular category of rational polyhedra and Z-maps
Gabriel Goren-Roig, Tomáš Jakl and Luca Reggio Arboreal Categories from Shapes
Chase Meadors Delimited control, the Casari schema, and KM
Cameron Calk and Emmanuel Godard Stone Duality Proofs for Colorless Distributed Computability Theorems
Guido Boccali TOWARDS A 2-CATEGORICAL LOGIC OF DEPENDENT TYPE THEORY
Peter Faul and Graham Manuell Machine Space, Exponential Spaces and Compactness
Rui Prezado Lax comma categories: descent and exponentiability
Miguel Martins There are only countably many locally finite varieties of bi-Gödel algebras
Sérgio Marcelino On the Decidability of Comparing Many-Valued Logics: A WSkS Approach
Marcel Jackson, Tomasz Kowalski and Michał Stronkowski Quasi-equational bases for oriented paths
Norihiro Yamada A graphical calculus for categorical linear dependency
José Gil-Férez, Peter Jipsen and Giuseppe Zecchini Partially-ordered Płonka sums of po-algebras
Filip Jankovec Product Łukasiewicz Unbound Logic
Damian Siejwa Spectral spaces from closure operators on semilattice-ordered semigroups
Jens Koetters and Stefan Schmidt Conjunctive Concept Algebras -- Unnamed Perspective
Andrea De Domenico, Giuseppe Greco, Alessandra Palmigiano, Andrea Sabatini and Mario Piazza Refutational Display Calculi
Valentin Shehtman On 1-variable fragments of modal predicate logics
Elena Pozzan WO and WC-maps and the Wallman Compactification
Kristóf Kanalas The compactness theorem for topos-valued models
Miguel Ángel Trejo-Huerta and M. Andrew Moshier A first-order extension of multi-lingual sequent calculus
Jan Kühr On varieties of modular lattices with complementation
Andrew Swan, Peter Lefanu Lumsdaine and Henrik Forssell Makkai’s lost proof of projectivity of N in the free topos
Christian Naess and Nick Galatos Algebraic proof theory for distributive sequent calculi and GBI-algebras
Mbekezeli Nxumalo and Mbekezeli Nxumalo Concerning uniform Menger quotients
Nick Galatos and August Sangalli The Deducibility Problem for Certain Extensions of the Full Non-Associative Lambek Calculus is Undecidable
Kempton Albee and Nick Galatos Amalgamation for finitely generated varieties of semilinear idempotent residuated lattices
Guillaume Massas Constructive Quantum Logics
Kira Adaricheva, Adam Mata, Sylvia Silberger and Anna Zamojska-Dzienio Maximal sublattices of finite semidistributive lattices
Nick Bezhanishvili, Jim de Groot and Lawrence Moss Modal Measurable Logics via a Modal Loomis-Sikorski Representation Theorem
Benjamin Engel and Ryshard-Pavel Kostecki Biquasiintuitionistic logic and related structures
Krzysztof Krawczyk and Wesley Fussner Exactly Five Subquasivarieties of Sugihara Algebras have the Amalgamation Property
Robert Morissette A double-categorical perspective (or two) on dual fibrations
Max Wehmeier and Benno van den Berg Examples of Arrow Algebras

No accepted abstracts match this filter.