hol-light

Automating interactive theorem proving for HOL Light involves using MCP tools to manage goal states, apply tactics, and search for lemmas. It exposes commands such as set_goal, goal_state, apply_tactic, and backtrack to streamline proof construction and verification.

The available commands include set_goal, goal_state, search_theorems, apply_tactic, apply_tactics, prove, backtrack, hol_help, hol_status, hol_load, and hol_type, enabling goal inspection, tactic application, theorem discovery, and proof reconstruction.

Yes, MCP tools support proof recording, configurable timeouts, checkpoint restarts, and session management for HOL Light, ensuring reproducible experiments and controlled execution limits during automated proof search and verification.

Yes, the server supports one-shot proving via the prove command and proof-like wrappers, alongside proof recording features to capture and replay proof steps for reproducible neural-assisted workflows.

The best way to integrate HOL Light with neural-assisted workflows is by connecting to the MCP server, which exposes commands for goal setting, tactic application, lemma discovery, and proof reconstruction to streamline automated theorem verification.