Conference Schedule

Topology, Algebra, and Categories in Logic

27–31 July 2026Kraków, Poland

Booklet Abstracts

Invited lecture Contributed talk Break or other event
Week at a glance
Time Monday Tuesday Wednesday Thursday Friday
09:00-10:00 Andrew Moshier Wesley Fussner Valeria de Paiva Serafina Lapenta Tadeusz Litak
10:00-10:30 Coffee Coffee Coffee Coffee Coffee
10:30-12:10 Contributed Contributed Contributed Contributed Contributed
12:10-14:00 Lunch Lunch Lunch Lunch Lunch
14:00-15:00 Marco Abbadini Anna Laura Suarez George Metcalfe Dirk Hofmann --
15:00-15:30 Coffee Coffee Coffee Coffee Coffee
15:30-16:35 Contributed Contributed Excursion Contributed
16:35-16:50 Break Break Break
16:50-17:55 Contributed Contributed Contributed
18:00-19:00 Discussion
19:00 Reception Conference Dinner

27 July 2026

Monday

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Time
Parallel session 1 Room TBA
Parallel session 2 Room TBA
Parallel session 3 Room TBA
Parallel session 4 Room TBA
Parallel session 5 Room TBA
08:00–08:50
Registration
08:50–09:00
Opening
Chair: Nick Galatos
09:00–10:00
Invited lecture
Andrew Moshier
10:00–10:30
Coffee break
Session 1Chair: Nick Galatos
Session 2Chair: Umberto Rivieccio
Session 3Chair: Olivia Caramello
Session 4Chair: Marcus Tressl
Session 5Chair: Krzysztof Krawczyk
10:30–11:00
Parallel session 1
#99 Room TBA

On the structure of involutive partially ordered monoids as models of multiplicative fragments of linear logic

Marta Bilkova, Peter Jipsen and Melissa Sugimoto

Parallel session 2
#33 Room TBA

Many-Valued Coalgerbaic Lindstrom's Theorem

Chun-Yu Lin

Parallel session 3
#32 Room TBA

Homological Algebra in Abelian Framed Bicategories

Augustin Albert, Jérémy Dubut and Eric Goubault

Parallel session 4
#83 Room TBA

Dual presentations of frames

Graham Manuell

Parallel session 5
#14 Room TBA

Semi-divisible rings

Chancelle Kamga, Celestin Lele, Jean Nganou and Lutz Strungmann

11:05–11:35
Parallel session 1
#130 Room TBA

Partially-ordered Płonka sums of po-algebras

José Gil-Férez, Peter Jipsen and Giuseppe Zecchini

Parallel session 2
#3 Room TBA

Interpolation in bi-intuitionistic logics

Rodrigo Nicolau Almeida and Qian Chen

Parallel session 3
#61 Room TBA

Constructing the Object of Bialgebras in a 2-Category with PIE-Limits

David Forsman

Parallel session 4
#71 Room TBA

The lattice of smooth sublocales as a Bruns-Lakser completion

Igor Arrieta and Anna Laura Suarez

Parallel session 5
#21 Room TBA

Algebraic Semantics for First-Order Relevant Logics

Nicholas Ferenz, Andrew Tedder and Max Lin

11:40–12:10
Parallel session 1
#2 Room TBA

Layer decomposition for balanced residuated partially ordered semigroups

Sándor Jenei

Parallel session 2
#16 Room TBA

A Duality Theorem for Constructive K

Jim de Groot, Ian Shillito and Ranald Clouston

Parallel session 3
#123 Room TBA

Towards a 2-categorical logic of dependent type theory

Guido Boccali

Parallel session 4
#79 Room TBA

Generalizing the d-nucleus to stably continuous frames

Sebastian Melzer, Guram Bezhanishvili, Papiya Bhattacharjee and Drew Moshier

Parallel session 5
#53 Room TBA

Closure l-monoids and their proof theory

Ludovico Fusco

12:10–14:00
Lunch break
Chair: Luca Spada
14:00–15:00
Invited lecture
Marco Abbadini
15:00–15:30
Coffee break
Session 1Chair: Adam Prenosil
Session 2Chair: Luca Carai
Session 3Chair: Luca Spada
Session 4Chair: Dirk Hoffman
Session 5Chair: Marcel Jackson
15:30–16:00
Parallel session 1
#85 Room TBA

Bunched implication logic is undecidable

Nikolaos Galatos, Peter Jipsen, Søren Brinck Knudstorp and Revantha Ramanayake

Parallel session 2
#22 Room TBA

Knowledge on a Budget

Ondrej Majer, Krishna Manoorkar, Wolfgang Poiger and Igor Sedlár

Parallel session 3
#63 Room TBA

A representation theory of arboreal categories

Tomáš Jakl and Luca Reggio

Parallel session 4
#124 Room TBA

Machine Space, Exponential Spaces and Compactness

Peter Faul and Graham Manuell

Parallel session 5
#15 Room TBA

Introduction to the model theory of modules

Grzegorz Pastuszak

16:05–16:35
Parallel session 1
#143 Room TBA

The Deducibility Problem for Certain Extensions of the Full Non-Associative Lambek Calculus is Undecidable

Nick Galatos and August Sangalli

Parallel session 2
#27 Room TBA

Interpolation in Two-Dimensional Cylindric Modal Logic

Nick Bezhanishvili and Qian Chen

Parallel session 3
#120 Room TBA

Arboreal Categories from Shapes

Gabriel Goren-Roig, Tomáš Jakl and Luca Reggio

Parallel session 5
#8 Room TBA

Rewriting Systems on Arbitrary Monoids

Eduardo Magalhães

16:35–16:50
Short break
16:50–17:20
Parallel session 1
#67 Room TBA

Varieties of distributive l-pregroups

Simon Santschi and Nick Galatos

Parallel session 2
#135 Room TBA

On 1-variable fragments of modal predicate logics

Valentin Shehtman

Parallel session 3
#151 Room TBA

Examples of Arrow Algebras

Max Wehmeier and Benno van den Berg

Parallel session 4
#45 Room TBA

Localic distances and asymmetric metrization theorems

Jorge Picado

Parallel session 5
#80 Room TBA

Clonoids over finite vector spaces and related computational problems

Stefano Fioravanti, Michael Kompatcher and Bernardo Rossi

17:25–17:55
Parallel session 1
#13 Room TBA

Semi-direct products and similar constructions of residuated lattices

Michal Botur

Parallel session 2
#9 Room TBA

Being a union-splitting is decidable in modal logic

Tenyo Takahashi

Parallel session 3
#89 Room TBA

Categorical logic in difference and differential algebra

Ivan Tomasic

Parallel session 4
#69 Room TBA

Basic zero-dimensional spaces: A unifying framework for continuity and openness

João Areias and Jorge Picado

Parallel session 5
#39 Room TBA

Automata on Graph Alphabets

Hugo Bazille and Uli Fahrenberg

19:00
Reception

28 July 2026

Tuesday

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Time
Parallel session 1 Room TBA
Parallel session 2 Room TBA
Parallel session 3 Room TBA
Parallel session 4 Room TBA
Parallel session 5 Room TBA
Chair: George Metcalfe
09:00–10:00
Invited lecture
Wesley Fussner
10:00–10:30
Coffee break
Session 1Chair: George Metcalfe
Session 2Chair: Valeria de Paiva
Session 3Chair: Alexander Kurz
Session 4Chair: Tomáš Jakl
Session 5Chair: Amanda Vidal
10:30–11:00
Parallel session 1
#1 Room TBA

Decidability in integral conuclear residuated lattices

Adam Přenosil

Parallel session 2
#29 Room TBA

Axiomatization of logics complete with respect to 3-element Semi-Heyting algebras

Sebastian Stokłosa

Parallel session 3
#104 Room TBA

Evolution systems and embedding-projection pairs

Wieslaw Kubis

Parallel session 4
#86 Room TBA

Revisiting the localic Kuratowski-Mrówka theorem

Joshua Passmore

Parallel session 5
#30 Room TBA

Semiring-Valued Logics with Twist-Structure Semantics

Libor Behounek

11:05–11:35
Parallel session 1
#141 Room TBA

Algebraic proof theory for distributive sequent calculi and GBI-algebras

Christian Naess and Nick Galatos

Parallel session 2
#36 Room TBA

Cut-free Deductive Systems for Affine and Continuous Intuitionistic Logic

Guillaume Raymond Geoffroy

Parallel session 3
#108 Room TBA

Soberness as idempotent-completeness: towards a formal model theory of virtual ultracategories

Gabriel Saadia and Errol Yuksel

Parallel session 4
#87 Room TBA

TD-coreflection pointfreely and its generalization to other separation axioms

Ranjitha Raviprakash, Guram Bezhanishvili, Sebastian David Melzer and Anna Laura Suarez

Parallel session 5
#58 Room TBA

Double equivalential algebras

Sławomir Przybyło

11:40–12:10
Parallel session 1
#98 Room TBA

A Non-Distributive Equivalence for Finite Pointed Brouwerian Algebras and their Algebras of Fractions

Brendan Dufty and Nikolaos Galatos

Parallel session 2
#40 Room TBA

The Eliminability of Delta in Gödel Logics

Mariami Gamsakhurdia and Matthias Baaz

Parallel session 3
#137 Room TBA

The compactness theorem for topos-valued models

Kristóf Kanalas

Parallel session 4
#25 Room TBA

Ultracontact algebras and stack systems

Rafal Gruszczynski, Luca Carai, Ivo Düntsch and Anna Laura Suarez

Parallel session 5
#127 Room TBA

On the Decidability of Comparing Many-Valued Logics: A WSkS Approach

Sérgio Marcelino

12:10–14:00
Lunch break
Chair: Jorge Picado
14:00–15:00
Invited lecture
Anna Laura Suarez
15:00–15:30
Coffee break
Session 1Chair: Serafina Lapenta
Session 2Chair: Rodrigo Nicolau Almeida
Session 3Chair: Luca Reggio
Session 4Chair: Jorge Picado
Session 5Chair: Libor Behounek
15:30–16:00
Parallel session 1
#131 Room TBA

Product Łukasiewicz Unbound Logic

Filip Jankovec

Parallel session 2
#41 Room TBA

On the theory of finite Gödel Algebras

Pedro Rodríguez Díaz and Tommaso Moraschini

Parallel session 3
#70 Room TBA

A Directed Refinement of Constructive Ordinals in Algebraic Set Theory

Benno van den Berg and Josje van der Laan

Parallel session 4
#113 Room TBA

Localic Relations with Open Cones

Nesta van der Schaaf

Parallel session 5
#97 Room TBA

Quantale-Enriched Universal Algebra: Completeness

Yiwen Ding and Alexander Kurz

16:05–16:35
Parallel session 1
#76 Room TBA

On the lattice of subvarieties of equational states

Nick Galatos, Serafina Lapenta and Sebastiano Napolitano

Parallel session 2
#50 Room TBA

Algebras and general frames for interpretability logics

Teo Šestak

Parallel session 3
#140 Room TBA

Makkai’s lost proof of projectivity of N in the free topos

Andrew Swan, Peter Lefanu Lumsdaine and Henrik Forssell

Parallel session 4
#136 Room TBA

On lifting maps to the Wallman compactification

Elena Pozzan

Parallel session 5
#88 Room TBA

Easy direct limits property in some classes of algebras

Małgorzata Jastrzębska and Emília Halušková

16:35–16:50
Short break
16:50–17:20
Parallel session 1
#17 Room TBA

Structural completeness in basic hoops and BL-algebras

Francesco Manfucci and Paolo Agliano'

Parallel session 2
#49 Room TBA

Interpolation in the Inquisitive Hierarchy

Josef von Hoffmann Doyle and Wesley Fussner

Parallel session 3
#90 Room TBA

Relative (co-)Yoneda Lemma for Categories Indexed over a Small-Generated Site

Olivia Caramello and Bruno Drieux

Parallel session 4
#35 Room TBA

Quad Rings and Quad Algebras: From Duality to Logical Perspective

Arun Kumar, Bisham Dewan and Neha Gaur

Parallel session 5
#38 Room TBA

Axiomatizing logics of finite Godel-Kripke models

Amanda Vidal and Ricardo Oscar Rodriguez

17:25–17:55
Parallel session 1
#47 Room TBA

Reasoning in the real world with BL multi-modal logic

Guillermo Badia, Carles Noguera, Alberto Paparella and Guido Sciavicco

Parallel session 2
#126 Room TBA

There are only denumerably many locally tabular bi-intermediate logics of trees and of co-trees

Miguel Martins

Parallel session 3
#92 Room TBA

Relative Points and Completions of Indexed Categories

Olivia Caramello and Gabriel Merlin

Parallel session 4
#111 Room TBA

Adjoints and the preservation of order

David Holgate, Ana Belen Avilez and Bakulikira Claude Iragi

Parallel session 5
#18 Room TBA

Symmetric Difference in Lattices With Complementation

Václav Cenker, Ivan Chajda and Helmut Länger

18:00–19:00
Open discussion

29 July 2026

Wednesday

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Time
Parallel session 1 Room TBA
Parallel session 2 Room TBA
Parallel session 3 Room TBA
Parallel session 4 Room TBA
Parallel session 5 Room TBA
Chair: Andrew Moshier
09:00–10:00
Invited lecture
Valeria de Paiva
10:00–10:30
Coffee break
Session 1Chair: Silvio Ghilardi
Session 2Chair: Valentin Shehtman
Session 3Chair: Igor Arrieta
Session 4Chair: Andrew Moshier
Session 5Chair: Sándor Jenei
10:30–11:00
Parallel session 1
#24 Room TBA

The Beth companion: making implicit operations explicit

Luca Carai, Miriam Kurtzhals and Tommaso Moraschini

Parallel session 2
#102 Room TBA

Arithmetic polytopes, ordered groups, and affine monoids: a duality theorem

Vincenzo Marra, Luca Reggio and Caterina Sioli

Parallel session 3
#125 Room TBA

Lax comma categories: descent and exponentiability

Rui Prezado

Parallel session 4
#103 Room TBA

Quantale-enriched proof theory

Andrea De Domenico, Giuseppe Greco, Alexander Kurz, Brandon Laing and Apostolos Tzimoulis

Parallel session 5
#110 Room TBA

The equivalential fragment of FLew

Gaia Petreni

11:05–11:35
Parallel session 1
#72 Room TBA

Implicit operations in reduced commutative rings

Miriam Kurtzhals, Tommaso Moraschini and Luca Carai

Parallel session 2
#64 Room TBA

Modally definable polyhedra.

Francesco Tognetti

Parallel session 3
#150 Room TBA

A double-categorical perspective (or two) on dual fibrations

Robert Morissette

Parallel session 4
#107 Room TBA

How to build categorical semantics of proofs for the basic modal Lambek logic and beyond

Peter Faul, Giuseppe Greco, Brandon Laing, Fei Liang and Apostolos Tzimoulis

Parallel session 5
#105 Room TBA

Intmax2: A Secure Blockchain Protocol Enabled by Lattice-Ordered Abelian Groups

Denisa Diaconescu, Erik Rybakken, Leona Hioki, Mario Yaksetig, Frantisek Silvasi and Julian Sutherland

11:40–12:10
Parallel session 1
#19 Room TBA

Implicit operations in varieties of commutative monoids

Luca Carai, Miriam Kurtzhals and Tommaso Moraschini

Parallel session 2
#78 Room TBA

Modal Logics of Zariski-constructible and Semialgebraic Sets

Simon Kreuzer

Parallel session 3
#129 Room TBA

A graphical calculus for categorical linear dependency

Norihiro Yamada

Parallel session 4
#134 Room TBA

Refutational Display Calculi

Andrea De Domenico, Giuseppe Greco, Alessandra Palmigiano, Andrea Sabatini and Mario Piazza

Parallel session 5
#139 Room TBA

On varieties of modular lattices with complementation

Jan Kühr

12:10–14:00
Lunch break
Chair: Sam van Gool
14:00–15:00
Invited lecture
George Metcalfe
15:00–15:30
Coffee break
15:30
Excursion

30 July 2026

Thursday

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Time
Parallel session 1 Room TBA
Parallel session 2 Room TBA
Parallel session 3 Room TBA
Parallel session 4 Room TBA
Parallel session 5 Room TBA
Chair: Marco Abbadini
09:00–10:00
Invited lecture
Serafina Lapenta
10:00–10:30
Coffee break
Session 1Chair: Wesley Fussner
Session 2Chair: Tommaso Moraschini
Session 3Chair: Marco Abbadini
Session 4Chair: Tadeusz Litak
Session 5Chair: Stefano Fiorovanti
10:30–11:00
Parallel session 1
#6 Room TBA

On actions and split extensions in varieties of hoops

Manuel Mancini, Giuseppe Metere and Federica Piazza

Parallel session 2
#66 Room TBA

Superamalgamation for modal lattices via non-distributive dualities

Simon Lemal, Rodrigo Nicolau Almeida and Nick Bezhanishvili

Parallel session 3
#118 Room TBA

Regular epi in the regular category of rational polyhedra and Z-maps

Matías Menni and Luca Spada

Parallel session 4
#132 Room TBA

Spectral spaces from closure operators on semilattice-ordered semigroups

Damian Siejwa

Parallel session 5
#128 Room TBA

Quasi-equational bases for oriented paths

Marcel Jackson, Tomasz Kowalski and Michał Stronkowski

11:05–11:35
Parallel session 1
#10 Room TBA

A Model Companion for an Extension of Abelian Lattice-Ordered Groups

John Stokes-Waters

Parallel session 2
#147 Room TBA

Modal Measurable Logics via a Modal Loomis-Sikorski Representation Theorem

Nick Bezhanishvili, Jim de Groot and Lawrence Moss

Parallel session 3
#93 Room TBA

Conceptual completeness for geometric logic via ultraconvergence spaces

Sam van Gool, Jérémie Marquès and Umberto Tarantino

Parallel session 4
#142 Room TBA

Concerning uniform Menger quotients

Mbekezeli Nxumalo

Parallel session 5
#146 Room TBA

Maximal sublattices of finite semidistributive lattices

Kira Adaricheva, Adam Mata, Sylvia Silberger and Anna Zamojska-Dzienio

11:40–12:10
Parallel session 1
#12 Room TBA

Semiconical residuated lattices with an idempotent skeleton

Valeria Giustarini, Nikolaos Galatos and Sara Ugolini

Parallel session 2
#116 Room TBA

Esakia duality for temporal Heyting algebras

David Quinn Alvarez

Parallel session 3
#95 Room TBA

Regular hyperdoctrines as double functors

José Siqueira

Parallel session 4
#122 Room TBA

Stone Duality Proofs for Colorless Distributed Computability Theorems

Cameron Calk and Emmanuel Godard

Parallel session 5
#133 Room TBA

Conjunctive Concept Algebras -- Unnamed Perspective

Jens Koetters and Stefan Schmidt

12:10–14:00
Lunch break
Chair: Anna Laura Suarez
14:00–15:00
Invited lecture
Dirk Hofmann
15:00–15:30
Coffee break
Session 1Chair: Francesco Paoli
Session 2Chair: Jim de Groot
Session 3Chair: Matias Menni
Session 4Chair: Anna Laura Suarez
Session 5Chair: Anna Zamojska-Dzienio
15:30–16:00
Parallel session 2
#106 Room TBA

Revisiting Completeness of Fixpoint Logics

Killian Barbé, Sam van Gool and Daniela Petrişan

Parallel session 3
#117 Room TBA

Stone Duality for Monads

Richard Garner, Alyssa Renata and Nicolas Wu

Parallel session 4
#54 Room TBA

Duality for quasi-Nelson algebras with recovery operators

Umberto Rivieccio and Ramon Jansana

Parallel session 5
#138 Room TBA

A first-order extension of multi-lingual sequent calculus

Miguel Ángel Trejo-Huerta and M. Andrew Moshier

16:05–16:35
Parallel session 1
#149 Room TBA

Exactly Five Subquasivarieties of Sugihara Algebras have the Amalgamation Property

Krzysztof Krawczyk and Wesley Fussner

Parallel session 2
#121 Room TBA

Delimited control, the Casari schema, and KM

Chase Meadors

Parallel session 3
#4 Room TBA

A completeness theorem for topological doctrines

Silvio Ghilardi and Jérémie Marquès

Parallel session 4
#34 Room TBA

A Unified Categorical Duality for Preminimal Negation and Beyond: Extending Compatibility Semantics Along Dunn's Negation Hierarchy

Arun Kumar, Neha Gaur and Bisham Dewan

Parallel session 5
#73 Room TBA

Defeasible Reasoning on Concepts

Yiwen Ding, Krishna Manoorkar, Alessandra Palmigiano, Ni Wayan Switrayni and Ruoding Wang

16:35–16:50
Short break
16:50–17:20
Parallel session 1
#65 Room TBA

Theorems of alternatives, algebraically

Isabel Hortelano Martín and George Metcalfe

Parallel session 2
#84 Room TBA

Tense Information Logic with Incomparable Fusion and Overlap

Timo Franssen

Parallel session 3
#11 Room TBA

A topos for étale-finite Heyting algebras

Marco Abbadini, Rodrigo Nicolau Almeida and Igor Arrieta

Parallel session 4
#28 Room TBA

Unicoherence in Locales

Cerene Rathilal

Parallel session 5
#148 Room TBA

Biquasiintuitionistic logic and related structures

Benjamin Engel and Ryshard-Pavel Kostecki

17:25–17:55
Parallel session 1
#114 Room TBA

A generic construction of free algebras in varieties of Hilbert algebras and Brouwerian semilattices

Tomasz Kowalski and Katarzyna Słomczyńska

Parallel session 2
#100 Room TBA

Craig Interpolation in the Logic of Temporal Linear Structures

Evgeny Kuznetsov, Konstantine Razmadze and Levan Uridia

Parallel session 3
#74 Room TBA

Coequivalence relations and descent in modal and superintuitionistic logic

Rodrigo Nicolau Almeida and Matteo de Berardinis

Parallel session 5
#44 Room TBA

On pseudo-associative conjunctive operations on relations of rank 3

Dmitry Bredikhin

19:00
Conference dinner

31 July 2026

Friday

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Time
Parallel session 1 Room TBA
Parallel session 2 Room TBA
Parallel session 3 Room TBA
Parallel session 4 Room TBA
Parallel session 5 Room TBA
Chair: Nick Bezhanishvili
09:00–10:00
Invited lecture
Tadeusz Litak
10:00–10:30
Coffee break
Session 1Chair: Marta Bilkova
Session 2Chair: Nick Bezhanishvili
Session 3Chair: Kira Adaricheva
Session 4Chair: Giuseppe Greco
Session 5Chair: --
10:30–11:00
Parallel session 1
#62 Room TBA

On Bochvar algebras and regular double Stone algebras

Francesco Paoli, Gandolfo Vergottini, Nicolò Zamperlin and Davide Fazio

Parallel session 2
#101 Room TBA

MacNeille Completion and Canonical Completion of Monadic Ortholattices

Joseph McDonald

Parallel session 3
#112 Room TBA

Lifting structure from states to propositions: the various Day extensions available

Joshua Wrigley and Edmund Robinson

Parallel session 4
#68 Room TBA

A Nested Approach to Relevant Logic

Fabio De Martin Polo and Han Gao

11:05–11:35
Parallel session 1
#60 Room TBA

Enriched Płonka sums

Ludovico Fusco and Francesco Paoli

Parallel session 2
#145 Room TBA

Constructive Quantum Logics

Guillaume Massas

Parallel session 3
#59 Room TBA

Coherent and ideal actions in ideally exact categories with an application to varieties of universal algebras

Manuel Mancini, Giuseppe Metere and Federica Piazza

Parallel session 4
#55 Room TBA

Sequent Calculi in Semiring Semantics

James Carr

11:40–12:10
Parallel session 1
#46 Room TBA

Topological and differentiable aspects of Clifford semigroups

Stefano Bonzio, Andrea Loi and Giuseppe Zecchini

Parallel session 2
#23 Room TBA

On the universal theory of the free pseudocomplemented distributive lattice

Luca Carai and Tommaso Moraschini

12:10–14:00
Lunch break
Chair: Tomasz Kowalski
14:00–15:00
Invited lecture
--
15:00–15:30
Coffee break

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