Graham Leigh: On the Computational Content of Classical Sequent Calculus
Explore computational interpretations of classical logic through Herbrand's Theorem, focusing on a language-theoretic representation using higher-order recursion schemes in classical sequent calculus.
An Introduction to Tensorial Logic and Dialogue Categories
An introduction to tensorial logic, exploring its relationship with dialogue games and categories. Refines linear logic and provides insights into dialogical interpretations of proofs and programs.
Orthologic with Axioms - Proof Theory and Algorithms
Explore orthologic with axioms, its proof theory, and algorithms. Discover generalized ortholattice reasoning and its applications in verification condition simplification and normalization.
Interpolation and Quantifiers in Ortholattices
Explore quantifiers and interpolation in orthologic, examining proof systems, quantifier elimination, and efficient interpolant computation for verification algorithms.
David Cerna: Proof Schema and the Refutational Complexity of Their Cut Structure
Explore proof schemas, refutational complexity, and cut structures in mathematical logic. Gain insights into CERES, ECA, and 1-SMA concepts for advanced theorem proving techniques.
Topics in Pure Model Theory - Lecture 10
Explore advanced concepts in pure model theory, including simple theory, invariant types, and symmetry, with expert insights from Itay Kaplan of The Hebrew University of Jerusalem.
Ulrich Kohlenbach - Extraction of Information from Proofs
Explore proof theory and its applications in mathematics, focusing on extracting computational content from nonconstructive proofs for practical problem-solving.
Are All True Mathematical Statements Provable? - Famous Math Problems
Explores the philosophical question of mathematical truth and provability, challenging conventional views with explicit examples of likely true but unprovable mathematical statements.
From Informal to Formal Mathematics and Back - Tools for Mathematical Transformation
Tools for transforming informal mathematics to formal and vice versa, aiming to enhance mathematical understanding. Explores Lean blueprint infrastructure and Informal Lean for collaborative formalization projects and customizable proof detailing.
Dialectica Categories for All
Explore dialectica categories and their applications in logic, mathematics, and computer science with expert Valeria de Paiva in this insightful talk.
Peculiarities of the Minimalist Foundation for Formal Mathematics
Explore the unique aspects of the Minimalist Foundation in formal mathematics, examining its peculiarities and implications for mathematical reasoning and proof construction.
The Value of Errors in Proofs
Explore the significance of errors in mathematical proofs with Avi Wigderson, delving into their role in advancing quantum information and physics research.
The Value of Errors in Proofs
Explore the significance of errors in mathematical proofs with Avi Wigderson. Gain insights into how mistakes contribute to advancing mathematical understanding and problem-solving techniques.
Where This Deadly Proof Falls Apart - Analyzing the Irrationality of sqrt(2)
Explore the classic proof of sqrt(2)'s irrationality and discover its limitations when applied to rational numbers in this insightful mathematical analysis.
Taming the Monster of Independence in Mathematics
Explore approaches to settling seemingly independent mathematical problems, focusing on Gödel's incompleteness theorem and the Continuum Hypothesis.
Cueology of Proof
Explore the art and science of constructing mathematical proofs, delving into logical reasoning, problem-solving techniques, and the foundations of formal verification.
An Introduction to Differential Linear Logic
Explore Differential Linear Logic fundamentals, key concepts, and applications in this comprehensive introduction by Marie Kerjean at CIRM's mathematical conference.
An Introduction to Mathematical Logic
Explore fundamental concepts of mathematical logic, including propositional calculus, first-order logic, and formal reasoning techniques.
On a Decomposition of WKL
Explore a mathematical decomposition of WKL!! with Takako Nemoto, delving into type theory, constructive mathematics, and geometric logics.
Mechanising Gödel-Löb Provability Logic in HOL Light
Explore the mechanisation of Gödel–Löb Provability Logic in HOL Light, delving into formal proofs and theorem verification techniques for modal logic systems.
Infinitary Combinatorics and Finitary Arithmetic
Explore recent developments in characterizing Ramsey-type combinatorial principles within reverse mathematics, focusing on proof-theoretic strength analysis.