Lectures related to LISA proof assistant: Formalisation and Verification

Explores historical mathematical proofs, decision problems, deductive systems, probabilistic and quantum proofs, and interactive proof systems.

Covers Hoare Logic, its foundations, applications, and significance in program verification.

Covers the approximation of functions in Sobolev spaces using smooth functions.

Covers polymorphism in Coq, focusing on data structures and functions like lists, length, and append.

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

Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.