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Tarski's axioms
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Group Theory Basics
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Axioms of Connection
Introduces the axioms of connection in Euclidean geometry, emphasizing unique lines and non-collinear points.
Introduction to Types and Inductive Relations
Explores the significance of types in programming and discusses unsound type systems and inductively defined relations.
Automating First-Order Logic Proofs Using Resolution
Covers first-order logic syntax, semantics, and resolution for proving properties.
Euclid and Bézout: Algorithms and Theorems
Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.
Introduction to Proofs
Introduces informal proofs, explores practical applications, and explains theorem proofs using direct and indirect methods.
Proofs and Sets: Applications
Covers the basics of proofs, defining sets, and applications between sets.
Introduction to Proofs
Introduces informal proofs and their practical applications in computer science and mathematics, emphasizing the importance of proving theorems through direct and indirect methods.
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