Advancements in Proof Assistants for Education and Automation

The field of proof assistants is undergoing significant developments, particularly in the areas of education and automation. There is a growing trend towards utilizing proof assistants as a tool for teaching and learning, with a focus on creating user-friendly interfaces and interactive tutorials. This shift has the potential to make formal mathematics and computer science more accessible to a wider audience.

In terms of automation, proof assistants are being integrated with automated theorem provers to enhance proof automation capabilities. This integration is crucial for large-scale formal mathematics and software/hardware verification projects. The development of novel translation algorithms and interfaces between proof assistants and automated theorem provers is driving this advancement.

Noteworthy papers include:

  • A Graphical Interface for Category Theory Proofs in Coq, which presents a Coq plugin for graphical interface and interaction with categorical proofs.
  • Lean-auto: An Interface between Lean 4 and Automated Theorem Provers, which proposes a novel translation algorithm for proof automation in Lean 4.

Sources

Proof Assistants for Teaching: a Survey

ProofBuddy: How it Started, How it's Going

A Graphical Interface for Category Theory Proofs in Coq

Lean-auto: An Interface between Lean 4 and Automated Theorem Provers

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