The Languages of Isabelle: Isar, ML, and Scala

Related lectures (28)

Page 2 of 3

Covers the definition of a simple programming language and its big-step semantics, including arithmetic expressions and imperative commands.

Introduces Coq, covering defining propositions, proving theorems, and using tactics.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores optimal transport in heat equations and metric spaces.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Introduces Cartesian product and induction for proofs using integers and sets.