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Logic Courses and Certifications

Master formal reasoning, critical thinking, and symbolic logic to sharpen analytical skills and decision-making. Explore propositional logic, first-order logic, and applications in AI through courses on Coursera, edX, and YouTube, from philosophical foundations to mathematical proofs and puzzle-solving.

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TrevTutor
Philosophical Logic - 2024 Lectures

Master propositional and predicate logic through translations, truth tables, trees, and natural deduction proofs for philosophy, mathematics, and computer science applications.
- YouTube
- 9 hours 43 minutes
- Self-Paced
- Free Video
3Blue1Brown
The AI That Solved IMO Geometry Problems - How AlphaGeometry Combines Logic and Intuition

Discover how AlphaGeometry revolutionizes mathematical problem-solving by combining logical reasoning with AI intuition to tackle Olympic-level geometry challenges.
- YouTube
- 15 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
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.
- YouTube
- 35 minutes
- Self-Paced
- Free Video
Fields Institute
What Makes a Proof Acceptable?

Explore the criteria for acceptable mathematical proofs, examining rigor, clarity, and convincing arguments in this thought-provoking lecture by Andrew Granville.
- YouTube
- 1 hour 11 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
Constructive Mathematics in Univalent Type Theory

Explore constructive mathematics within univalent type theory, delving into advanced concepts and their applications in modern mathematical foundations.
- YouTube
- 1 hour
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
Cyclic Modal Proofs

Exploring cyclic proof theory for modal fixed point logic, its applications in deriving completeness results, and its advantages over traditional finite tree proofs in applied logic.
- YouTube
- 30 minutes
- Self-Paced
- Free Video
International Centre for Theoretical Sciences
Mathematical Reasoning, Formal Proof Systems and Artificial Intelligence

Explore mathematical reasoning, formal proof systems, and AI applications in this lecture, gaining insights into the intersection of logic, mathematics, and artificial intelligence.
- YouTube
- 1 hour 15 minutes
- Self-Paced
- Free Video
Simons Institute
An Approximate Skolem Function Counter

Explores an algorithm for counting Skolem functions in quantified Boolean formulas, addressing challenges in synthesis problems and providing PAC guarantees for approximate counting.
- YouTube
- 30 minutes
- Self-Paced
- Free Video
Strange Loop Conference
War Time Proofs and Futuristic Programs

Exploring Gödel's Dialectica interpretation and its connection to linear logic type theory, revealing how past mathematical ideas influence modern programming languages and type systems.
- YouTube
- 41 minutes
- Self-Paced
- Free Video
International Centre for Theoretical Sciences
Mathematical Reasoning and Formal Proof Systems

Explore formal proof systems and mathematical reasoning techniques to enhance problem-solving skills and logical thinking in mathematics and related fields.
- YouTube
- 1 hour 17 minutes
- Self-Paced
- Free Video
Simons Institute
Consistency, Acyclicity, and Positive Semirings

Explore local vs. global consistency in probability distributions and relational databases, generalizing results using K-relations over positive semirings and acyclic hypergraphs.
- YouTube
- 38 minutes
- Self-Paced
- Free Video
Simons Institute
Compiling FO Sentences to Circuits - Upper Bounds and Lower Bounds on the Size of the Circuit

Explores compilation of Boolean formulas into circuits, focusing on provenance of FO sentences. Examines size complexity and limitations of various circuit types for model counting.
- YouTube
- 49 minutes
- Self-Paced
- Free Video
Simons Institute
Algorithmic Aspects of Semiring Provenance for Stratified Datalog

Explores semiring provenance for stratified datalog, focusing on efficient computation of greatest fixed points in absorptive semirings and circuit representations for polynomial annotations.
- YouTube
- 28 minutes
- Self-Paced
- Free Video
Simons Institute
Datalog and Equality Saturation

Explore connections between Datalog and equality saturation, covering applications, relationships to the chase, and new query evaluation techniques for optimized compiler design.
- YouTube
- 1 hour 1 minute
- Self-Paced
- Free Video
Simons Institute
Logical Interfaces to Data, Beyond Views

Explores alternative interfaces to data beyond views, discussing query-answering specifications and instance interchangeability for user classes. Examines convertibility between interface types.
- YouTube
- 35 minutes
- Self-Paced
- Free Video

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