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math-formalizations's Introduction

math-formalizations

by Evgeny Ivashkevich

This project is focused on the formalization of some elementary mathematical theories in Coq and is intended as a compagnion to the lecture course on math formalizations and certified programming:

  1. Sort function as a demonstration of certified programming style
  2. Propositional algebra and calculus, their soundness and completeness
  3. Untyped lambda calculus
  4. Constructive axiomatics for plane Euclidean geometry (https://arxiv.org/abs/1903.05175)
  5. Hughes algorithm for list reverse function
  6. Example of Goedel's Incompleteness Theorem

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