Linear Algebra: Implications and Equivalences

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Explores encoding finite systems with boolean functions, propositional logic, inductive invariants, and formal proof systems.

Linear Algebra: Reciprocity and Equivalence

Explores reciprocity, equivalence, and proof techniques in linear algebra, emphasizing logical reasoning and mathematical rigor.

Finite Automata: Recap

Covers the fundamentals of finite automata and formal languages.

Linear Similarities and Similitudes

Explores linear similarities and similitudes, demonstrating their properties and applications in geometry.

Automated Reasoning: Formal Verification with LISA

Explores formal verification using the LISA proof assistant and the OCBSL Equivalence Checker.

Proofs and Computations: A Journey Through Mathematical Theory

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

Analysis IV: Measurable Sets and Properties

Covers the concept of outer measure and properties of measurable sets.

Coq: Overview

Introduces Coq and focuses on proving the theorem and_comm step by step.

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.

Linear Algebra: Propositions and Sets

Covers propositions indexed by vectors, proof by induction, and Cartesian products of sets.