Modeling and Proving in Computational Type Theory
A textbook on modeling and proving in computational type theory using the Rocq proof assistant.
What is Modeling and Proving in Computational Type Theory?
MPCTT is a textbook project that teaches computational type theory through modeling and proving exercises using the Rocq proof assistant. It provides a structured educational resource for learning formal verification and theorem proving in a computational context. The project combines theoretical foundations with practical implementation to build proficiency in type theory.
Students, researchers, and developers interested in learning computational type theory, formal verification, and theorem proving using proof assistants.
MPCTT offers a comprehensive, hands-on approach to learning computational type theory with the Rocq proof assistant, bridging theoretical concepts with practical implementation. Its textbook format provides a structured learning path that is particularly valuable for educational settings.
Overview
Modeling and Proving in Computational Type Theory
Use Cases
Best For
- Learning computational type theory fundamentals
- Getting started with the Rocq proof assistant
- Studying formal verification techniques
- Understanding theorem proving in type theory
- Educational courses on proof assistants
- Research on computational semantics
Not Ideal For
- Practitioners needing ready-to-use verification tools for commercial software development
- Learners who prefer interactive, online coding platforms over static textbook materials
- Researchers working with proof assistants other than Rocq, such as Coq or Agda
Pros & Cons
Pros
Provides a deep dive into computational type theory, as highlighted in its emphasis on foundations and semantics from the textbook's philosophy.
Integrates practical modeling and proving exercises using the Rocq proof assistant, enabling applied learning as described in the key features.
Organized as a textbook with a progressive learning path, ideal for systematic study in educational settings.
Authored by Gert Smolka, a respected figure, ensuring reliability and depth in teaching computational type theory.
Cons
Focuses solely on the Rocq proof assistant, limiting applicability for users of other systems like Coq, as it doesn't cover broader tool ecosystems.
Assumes familiarity with formal logic and mathematics, which can be daunting for beginners without prior background, making it less accessible.
Available only as a PDF, lacking interactive features or regular updates common in modern online educational resources.
Frequently Asked Questions
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Formal Reasoning About ProgramsBook that simultaneously provides a general introduction to formal logical reasoning about the correctness of programs and to using Coq for this purpose
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