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The Tactician's Web is a platform offering a large web of stronglyinterconnected, machine-checked, formal mathematical knowledge convenientlypackaged for machine learning, analytics, and proof engineering. Built on topof the Coq proof assistant, the platform exports a dataset containing a widevariety of formal theories, presented as a web of definitions, theorems, proofterms, tactics, and proof states. Theories are encoded both as a semantic graph(rendered below) and as human-readable text, each with a unique set ofadvantages and disadvantages. Proving agents may interact with Coq through thesame rich data representation and can be automatically benchmarked on a set oftheorems. Tight integration with Coq provides the unique possibility to makeagents available to proof engineers as practical tools.

The Tactician's Web of Large-Scale Formal Knowledge