Toledo — Equation Library of the Human–AI Readout Programme (v1.5.0): debt pass with honest statuses, Recursive Epistemic Tunnel registrations, public website, MCP server, static API, 990 coded entries, lineage, native and imported Coq, catalogue

Abstract

What this is. Toledo is the programme's single permanent home for equations and their machine checks: a public git repository (https://github.com/morrocwi/toledo) whose tagged releases are deposited under this concept DOI, an MCP server and CLI for lookup, a static read API and a public website (https://morrocwi.github.io/toledo/) that explains every status in plain language and gives AI agents the lookup-before-use rule, the install and the API contract. Founder rules: every equation is looked up here first and registered here before it is written or cited elsewhere; no AI agent in the programme may use an unregistered equation. Release v1.5.0 (counts computed from the files in the tag). 990 canonical entries (current 899, unverified 52, split 30, not_an_equation 9); 592 root rows. Debt pass, stated honestly: the 52 unverified entries were re-opened at their sources and stay unverified because the sources themselves classify them as proposed, partial or open; 111 tier values now carry a source quote and 245 remain untagged because their sources give no tag; all 210 wrapped_related entries were examined and none is derivable from the general theorem it aliases without inventing a correspondence, so each keeps that status with a recorded reason; Coq files now exist for every entry that has formal content — 119 Theta and Causal-Memory Closure readings wrapped (116 closed, 3 with named axioms) and 78 finite-model files for the Effort, Economics of Expertise, Core Epistemic Structure and Recursive Epistemic Tunnel entries — 928 Coq files built one at a time, 277 entries closed; the Causal-Memory Closure root still has no source sentence connecting it to a Genesis root, and a candidate proposition is drafted for the founder rather than asserted. New in this release: 23 readings registered from The Recursive Epistemic Tunnel v2.1 (10.5281/zenodo.22639311) with 23 occurrences on reused objects; a provenance note that the readout_genesis import anchor is a local revision whose additions are not yet on the public remote (public verification holds up to the published head); the catalogue rebuilt with typeset entry names and no overfull lines (A4, 291 pages); the MCP package 1.5.0 ships a prebuilt index. Status and limits. K0 working release. Th_coqc / closed certifies the internal consistency of stated finite models, never empirical truth; every status on the website and in the API is a readout of the registry files at the tagged commit. An AI assistant assisted under the author's direction; no AI system is an author or contributor.