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Lecture
Inductive Propositions: Understanding Evaluation in Coq
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Inductive Propositions: Reasoning and Evaluation Techniques
Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.
Introduction to Coq: Arithmetic Expressions and Evaluators
Covers the basics of Coq, focusing on arithmetic expressions, evaluation, and proof techniques.
Coq Workshop: Introduction to Interactive Theorem Proving
Introduces Coq, an interactive theorem assistant based on the Curry-Howard isomorphism.
Hoare Logic: Foundations and Applications
Covers Hoare Logic, its foundations, applications, and significance in program verification.
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.
Data Abstraction: Modules and Specifications in Coq
Discusses data abstraction in programming, focusing on modules and specifications in Coq.
Coq: Overview
Introduces Coq and focuses on proving the theorem and_comm step by step.
Concept of Proof in Mathematics
Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.
Polymorphism in Coq: Data Structures and Functions
Covers polymorphism in Coq, focusing on data structures and functions like lists, length, and append.
Logic Programming Techniques: Automated Proof Search and Unification
Covers logic programming concepts, focusing on automated proof search and unification techniques in Coq.