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The Series Finale of Online Education: Coursera Acquires Udemy

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Proof Theory

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Explore the foundations of mathematical logic by mastering proof techniques, formal systems, and automated reasoning. Learn to construct and analyze rigorous arguments using tools like Isabelle/HOL and proof assistants, with accessible video lessons from leading mathematicians on YouTube and edX.

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Hausdorff Center for Mathematics
Proof Theory for Quantified Monotone Modal Logics

Explores proof-theoretic aspects of quantified non-normal modal logics, introducing labelled sequent calculi and examining their properties, completeness, and applications to neighborhood frames.
- YouTube
- 22 minutes
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ACM SIGPLAN
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.
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Centre International de Rencontres Mathématiques
Recursive Inequalities in Applied Proof Theory

Explore recursive inequalities in applied proof theory, delving into advanced mathematical concepts and their practical applications.
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
First-Order Strength of Ramsey's Theorem for Pairs - From the Perspective of Proof Theory

Explore proof-theoretic strength of Ramsey's theorem for pairs through model-theoretic conservation theorems and polynomial-size proof transformations in reverse mathematics.
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Hausdorff Center for Mathematics
Proofs and Computation Workshop

Explore advanced proof theory, reverse mathematics, and computational logic through expert talks on fixed points, modal proofs, and constructive mathematics.
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ACM SIGPLAN
Interpolation and Quantifiers in Ortholattices

Explore quantifiers and interpolation in orthologic, examining proof systems, quantifier elimination, and efficient interpolant computation for verification algorithms.
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Centre International de Rencontres Mathématiques
From Axioms to Synthetic Inference Rules via Focusing

Explore the connection between axioms and synthetic inference rules through focusing, as presented by Dale Miller in this mathematical conference talk.
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ACM SIGPLAN
Automated Lemma Synthesis in Symbolic-Heap Separation Logic

Discover an automated framework for synthesizing lemmas in symbolic-heap separation logic, enabling effective verification of memory-safety in programs handling complex data structures.
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Topos Institute
Articulating the Structure of Reasons

Explore how semantic inferentialism understands propositional content through reason relations, examining both proof-theoretic and model-theoretic approaches to substructural logic.
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Hausdorff Center for Mathematics
Diagrams and Proofs in Mathematics

Explore the intersection of visual reasoning and mathematical proofs, examining how diagrams enhance understanding and facilitate logical arguments in mathematics.
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
The Fractal Goodstein Principle

Explore a novel Goodstein process using hierarchical base representations that achieves Bachmann-Howard strength while avoiding non-elementary functions in natural number notation systems.
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Topos Institute
Classical and Constructive Logics Together: Ecumenical Systems

Explore Ecumenical Logic systems that combine classical and intuitionistic logic, examining their proof theoretical properties and potential for enhancing interoperability between proof assistants.
- YouTube
- 59 minutes
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ACM SIGPLAN
An Isabelle/HOL Framework for Synthetic Completeness Proofs

Explore an abstract framework in Isabelle/HOL for mechanizing completeness proofs across different logics, featuring a transfinite version of Lindenbaum's lemma and techniques for building maximal consistent sets.
- YouTube
- 31 minutes
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Schmid College, Chapman University
Proof Theoretic Pluralism and Harmony

Explore proof-theoretic pluralism through harmony conditions, examining how multiple notions of uniqueness create three-level logical variance while preserving balance.
- YouTube
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Wolfram
Searching for Holes in the Proof Space

Explore multiway graphs to map proof spaces and discover continuous transformations between theorem proof paths in mathematical logic.
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