TL;DR
This chapter provides an overview of mathematical logic and foundational principles essential for understanding and developing computational proof assistants, serving as a foundational resource for the field.
Contribution
It offers a comprehensive introduction to the logical and foundational concepts underlying computational proof systems, filling a gap in educational resources.
Findings
Clarifies key logical frameworks used in proof assistants
Summarizes foundational theories relevant to formal verification
Provides a structured overview for new researchers
Abstract
This is a draft of a chapter on mathematical logic and foundations for an upcoming handbook of computational proof assistants.
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Taxonomy
TopicsLogic, programming, and type systems · Logic, Reasoning, and Knowledge · Computability, Logic, AI Algorithms