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Coq: Introduction
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Correlations of the Liouville function
Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Fundamental Solutions
Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.
Inductive Propositions: Understanding Evaluation in Coq
Covers inductive propositions in Coq, focusing on evaluation rules for arithmetic expressions and their applications in defining partial and non-deterministic functions.
Introduction to Proof Scripting: Basics of Ltac
Introduces the basics of proof scripting in Coq, focusing on the Ltac language and its tactics for managing proofs effectively.
Propositions and Proofs
Explores propositions, proofs, and contraposition in mathematical theory, emphasizing logical rules and proof methods.
Introduction & Propositional Logic
Covers the basics of propositional logic, logical connectives, truth tables, and compound propositions.
Finite Systems Expressed with Formulas
Explores encoding finite systems with boolean functions, propositional logic, inductive invariants, and formal proof systems.
What is a Formal Proof?
Covers the concept of formal proof systems, their structure, and soundness.