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Hybrid Event

24th - 25th December 2026 | Toulouse, France

International Conference on Mathematical Logic and Proof Theory (ICMLPT - 26)

4

Days

4

Hrs

07

Min

02

Sec

Conference Program

Session Tracks

SDG Wheel

Aligned with

UN Sustainable Development Goals

This conference contributes to global sustainability by aligning its research discussions and academic sessions with key United Nations Sustainable Development Goals. It fosters knowledge exchange, innovation, and collaborative engagement.

Why it matters

SDG 4 — Quality Education
SDG 9 — Industry, Innovation and Infrastructure
SDG 16 — Peace, Justice and Strong Institutions
Explore All Session Tracks
Track 01
Foundations of Mathematical Logic

This track focuses on the fundamental principles underlying mathematical logic, exploring the philosophical implications and foundational issues. Participants will discuss various axiomatic systems and their roles in the development of logical frameworks.

Track 02
Proof Theory and Formal Systems

This session addresses the intricacies of proof theory, examining the structure and significance of formal systems. Researchers will present methodologies for analyzing proofs and their implications for consistency and completeness.

Track 03
Model Theory: Structures and Interpretations

This track delves into model theory, emphasizing the relationships between formal languages and their interpretations in mathematical structures. Discussions will include applications of model theory in various branches of mathematics.

Track 04
Set Theory and Its Applications

Focusing on set theory, this session will explore its foundational role in mathematics and its various applications across different fields. Topics will include cardinality, ordinals, and the axiom of choice.

Track 05
Incompleteness and Consistency in Mathematics

This track investigates the profound results of incompleteness theorems and their implications for the consistency of mathematical systems. Participants will analyze historical and contemporary perspectives on these critical issues.

Track 06
Computability and Recursive Functions

This session examines the concepts of computability and recursive functions, highlighting their significance in the realm of mathematical logic. Discussions will include Turing machines, decidability, and the limits of computation.

Track 07
Algebraic Logic: The Intersection of Logic and Algebra

This track explores the connections between algebra and logic, focusing on algebraic structures that arise from logical systems. Topics will include lattice theory, Boolean algebras, and their applications in logic.

Track 08
Descriptive Set Theory: Techniques and Applications

Focusing on descriptive set theory, this session will cover its techniques and applications in various mathematical contexts. Participants will discuss Borel and analytic sets, as well as their implications for topology and analysis.

Track 09
Higher Order Logic: Concepts and Challenges

This track addresses the complexities of higher order logic, exploring its expressive power and the challenges it presents. Participants will engage in discussions about its applications and limitations in formal reasoning.

Track 10
Connections Between Logic and Abstract Algebra

This session investigates the interplay between logical frameworks and abstract algebra, examining how algebraic structures can inform logical systems. Topics will include group theory, ring theory, and their logical implications.

Track 11
Logical Methods in Mathematics

This track highlights the various logical methods employed in mathematical reasoning and proof construction. Participants will explore innovative approaches to problem-solving and their impact on the development of mathematical theories.

2026 UPDATE

Consistent Academic Support

Science Net ensures that research activities continue without interruption in the current global situation. Participants can engage through digital and hybrid conference formats.