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Coq: Overview
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Related lectures (27)
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Coq Workshop: Inductive Data Types and Proofs
Covers the definition of an inductive data type in Coq and how to build proofs interactively using tactics.
Data Abstraction: Modules and Specifications in Coq
Discusses data abstraction in programming, focusing on modules and specifications in Coq.
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.
Concept of Proof in Mathematics
Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.
Big-step semantics: Defining arithmetic expressions and commands
Covers the definition of a simple programming language and its big-step semantics, including arithmetic expressions and imperative commands.
Verifying Programs with Stainless
Explores the verification of programs using Stainless, focusing on functional correctness, proof assistants, and automation of reasoning tasks.
Inductive Propositions: Reasoning and Evaluation Techniques
Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.
Analysis IV: Measurable Sets and Properties
Covers the concept of outer measure and properties of measurable sets.
Proofs and Computations: A Journey Through Mathematical Theory
Explores historical mathematical proofs, decision problems, deductive systems, probabilistic and quantum proofs, and interactive proof systems.
Propositions as Types: Logic and Programming Correspondence
Explores the relationship between logic proofs and programming evidence through the Curry-Howard Correspondence.