Formalized Mathematics
Mathematical libraries in Lean, Coq, Isabelle, and Mizar.
Formalized Mathematics. Mathematical libraries in Lean, Coq, Isabelle, and Mizar.
Foundations and canonical references
The standard treatments of formalized mathematics approach the subject from complementary angles. Avigad, Theorem Proving in Lean 4 (2021) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Pierce, Software Foundations (2010) offers an alternative presentation that complements the primary references and is useful for triangulating definitions and proof techniques.
Open methodological questions for formalized mathematics include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2021avigad-2021, demoura-2021, kong-2021, ullrich-2021
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