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P3: prove octad-model invariants as real bijections + sidecar isolation (#168)
## What & why `Proofs.idr` checked the octad only shallowly — `length allDimensions = 8` and a couple of tag values. The §5.6 frontier is the **octad invariants** themselves. New module `Verisimiser.ABI.Octad` proves the defining VeriSimDB octad properties as genuine theorems. ## Change 1. **Octad ≅ Fin 8** — `octadToFin` / `octadFromFin` with **both** round-trips, so the eight dimensions are *exactly* eight, all distinct, with no gaps: a full bijection, not merely a count. 2. **DriftCategory ≅ OctadDimension** — the asserted "drift categories biject onto octad dimensions" proven as a **real bijection** (`driftToDim` / `dimToDrift`, both round-trips). 3. **Sidecar isolation** (the core safety guarantee) — an *independently defined* per-dimension write model (`writesTarget`) is proven **consistent** with the tier classification: every Tier-1 piggyback dimension provably never writes to the target DB (`tier1NeverWritesTarget`), and every Tier-2 overlay dimension does (`tier2WritesTarget`) — so the isolation is a genuine cross-check, not a tautology. 4. **Negative controls** — distinct dimensions are genuinely distinct; at least one dimension *does* write (`writesTarget` isn't constantly `False`). ## Verification (Idris2 0.7.0) - Full ABI builds clean (all 5 modules, zero warnings); no `believe_me`/`postulate`/holes. - **Adversarial**: claiming a Tier-1 dimension writes to the target is **rejected** (`Mismatch True/False`), and a wrong bijection mapping is **rejected** (`Mismatch Metadata/Data`) — the guarantees cannot be subverted. Third of the priority-repo P3 deepenings (verisimiser #3) — completing typedqliser #1, chapeliser #2, verisimiser #3. > Note: this branch also carries the ABI↔FFI gate (`scripts/abi-ffi-gate.py` + workflow), not yet merged into `main` for this repo — it rides along. The `ABI-FFI Gate` check is green. ## CI note rust-ci / Hypatia / governance reds are pre-existing estate-infra unrelated to this change. 🤖 Generated with [Claude Code](https://claude.com/claude-code) https://claude.ai/code/session_019xMKB3T4Vo5FYC7Czx3JSH --- _Generated by [Claude Code](https://claude.ai/code/session_019xMKB3T4Vo5FYC7Czx3JSH)_ --------- Co-authored-by: Claude <noreply@anthropic.com>
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.github/workflows/abi-ffi-gate.yml

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# SPDX-License-Identifier: MPL-2.0
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# abi-ffi-gate.yml — enforce that the Zig FFI conforms to the Idris2 ABI.
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#
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# The Idris2 ABI (src/interface/abi) is the source of truth. This gate fails if
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# the Zig FFI (src/interface/ffi) drifts from it: a declared C function with no
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# export, a mismatched result-code map, or an unrendered template token. A
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# second job builds + tests the Zig FFI under the pinned Zig 0.14.0.
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name: ABI-FFI Gate
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on:
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pull_request:
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push:
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branches: [main, master]
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permissions:
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contents: read
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jobs:
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conformance:
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name: ABI ↔ FFI structural conformance
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runs-on: ubuntu-latest
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steps:
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- uses: actions/checkout@v4
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- name: Run ABI-FFI gate
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run: python3 scripts/abi-ffi-gate.py
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zig-build:
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name: Zig FFI builds + tests (Zig 0.14.0)
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runs-on: ubuntu-latest
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steps:
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- uses: actions/checkout@v4
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- name: Install Zig 0.14.0
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run: |
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curl -fsSL https://ziglang.org/download/0.14.0/zig-linux-x86_64-0.14.0.tar.xz -o /tmp/zig.tar.xz
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tar -xf /tmp/zig.tar.xz -C /tmp
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echo "/tmp/zig-linux-x86_64-0.14.0" >> "$GITHUB_PATH"
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- name: zig test FFI
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run: zig test src/interface/ffi/src/main.zig -lc

scripts/abi-ffi-gate.py

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#!/usr/bin/env python3
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# SPDX-License-Identifier: MPL-2.0
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# Copyright (c) 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
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#
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# abi-ffi-gate.py — fail (exit 1) if the Zig FFI does not conform to the Idris2
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# ABI. The Idris2 ABI is the source of truth. Checks, with no toolchain needed:
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#
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# 1. the Zig FFI carries no unrendered `{{...}}` template tokens;
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# 2. every `%foreign "C:<name>"` symbol declared anywhere in the ABI .idr
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# sources is exported by the Zig FFI (`export fn <name>`);
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# 3. the Zig `Result = enum(c_int)` and the Idris `resultToInt` agree on BOTH
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# names and integer values (the `Error`/`err` spelling is treated as one).
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#
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# Usage: python3 scripts/abi-ffi-gate.py [repo_root] (defaults to cwd)
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import os
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import re
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import sys
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import glob
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def camel_to_snake(s):
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return re.sub(r"(?<!^)(?=[A-Z])", "_", s).lower()
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def canon_rc(name):
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n = name.lower()
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return "error" if n in ("err", "error") else n
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def find_result_enum(zig):
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"""Return {variant: value} for the C-ABI Result enum, or {}."""
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best = {}
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for m in re.finditer(r"enum\s*\(\s*c_int\s*\)\s*\{(.*?)\}", zig, re.S):
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body = m.group(1)
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variants = {}
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for vm in re.finditer(r'@?"?([A-Za-z_][A-Za-z0-9_]*)"?\s*=\s*(\d+)', body):
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variants[canon_rc(vm.group(1))] = int(vm.group(2))
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# The Result enum is the one starting at ok = 0.
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if variants.get("ok") == 0 and len(variants) > len(best):
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best = variants
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return best
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def main():
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root = sys.argv[1] if len(sys.argv) > 1 else "."
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name = os.path.basename(os.path.abspath(root))
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abi_dir = os.path.join(root, "src/interface/abi")
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zig_path = os.path.join(root, "src/interface/ffi/src/main.zig")
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errs = []
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idr_files = [
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p for p in glob.glob(os.path.join(abi_dir, "**", "*.idr"), recursive=True)
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if os.sep + "build" + os.sep not in p
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]
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if not idr_files:
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print(f"ABI-FFI GATE: SKIP ({name}) — no Idris2 ABI .idr files under {abi_dir}")
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return 0
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if not os.path.exists(zig_path):
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print(f"ABI-FFI GATE: FAIL ({name}) — no Zig FFI at {zig_path}")
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return 1
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idr = "\n".join(open(p, encoding="utf-8").read() for p in idr_files)
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zig = open(zig_path, encoding="utf-8").read()
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# 1. unrendered template tokens
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toks = sorted(set(re.findall(r"\{\{[A-Za-z0-9_]+\}\}", zig)))
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if toks:
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errs.append(f"Zig FFI has unrendered template tokens: {toks}")
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# 2. foreign C symbols must be exported
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csyms = sorted(set(re.findall(r"C:([A-Za-z0-9_]+)", idr)))
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exports = set(re.findall(r"export fn ([A-Za-z0-9_]+)", zig))
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missing = [s for s in csyms if s not in exports]
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if missing:
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errs.append(f"{len(missing)} ABI function(s) not exported by the Zig FFI: {missing}")
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# 3. result-code map (names + values) must agree
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idr_rc = {}
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for m in re.finditer(r"resultToInt\s+([A-Za-z0-9]+)\s*=\s*(\d+)", idr):
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idr_rc[canon_rc(camel_to_snake(m.group(1)))] = int(m.group(2))
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zig_rc = find_result_enum(zig)
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if idr_rc and not zig_rc:
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errs.append("no Zig `enum(c_int)` Result block (with `ok = 0`) found to compare result codes")
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elif idr_rc and zig_rc and idr_rc != zig_rc:
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errs.append(
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"Result-code map differs (name or value):\n"
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f" Idris resultToInt: {dict(sorted(idr_rc.items()))}\n"
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f" Zig Result enum: {dict(sorted(zig_rc.items()))}"
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)
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if errs:
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print(f"ABI-FFI GATE: FAIL ({name})")
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for e in errs:
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print(" - " + e)
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return 1
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print(f"ABI-FFI GATE: OK ({name}) — {len(csyms)} ABI functions exported, "
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f"{len(idr_rc)} result codes match")
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return 0
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if __name__ == "__main__":
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sys.exit(main())
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-- SPDX-License-Identifier: MPL-2.0
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-- Copyright (c) 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
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--
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||| Semantic octad-model invariants for VeriSimiser.
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|||
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||| `Proofs.idr` checks the octad only shallowly (`length allDimensions = 8`,
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||| a couple of tag values). This module proves the *defining* invariants of the
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||| VeriSimDB octad model as genuine theorems:
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|||
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||| 1. Octad ≅ Fin 8 — the eight dimensions are exactly eight, all distinct and
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||| with no gaps: a full bijection (both round-trips), not just a count.
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||| 2. DriftCategory ≅ OctadDimension — the asserted "drift categories biject
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||| onto octad dimensions" proven as a real bijection.
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||| 3. Sidecar isolation — the per-dimension write model agrees with the tier
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||| classification: every Tier-1 (piggyback) dimension provably never writes
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||| to the target database, and every Tier-2 (overlay) dimension does.
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module Verisimiser.ABI.Octad
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import Verisimiser.ABI.Types
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import Data.Fin
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import Data.Vect
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%default total
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--------------------------------------------------------------------------------
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-- 1. Octad ≅ Fin 8 (exactly eight distinct dimensions, no gaps)
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--------------------------------------------------------------------------------
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||| Ordinal position of each octad dimension (matches `octadToInt`).
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public export
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octadToFin : OctadDimension -> Fin 8
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octadToFin Data = 0
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octadToFin Metadata = 1
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octadToFin Provenance = 2
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octadToFin Lineage = 3
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octadToFin Constraints = 4
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octadToFin AccessControl = 5
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octadToFin Temporal = 6
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octadToFin Simulation = 7
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||| Inverse: recover the dimension from its ordinal.
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public export
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octadFromFin : Fin 8 -> OctadDimension
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octadFromFin FZ = Data
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octadFromFin (FS FZ) = Metadata
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octadFromFin (FS (FS FZ)) = Provenance
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octadFromFin (FS (FS (FS FZ))) = Lineage
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octadFromFin (FS (FS (FS (FS FZ)))) = Constraints
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octadFromFin (FS (FS (FS (FS (FS FZ))))) = AccessControl
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octadFromFin (FS (FS (FS (FS (FS (FS FZ)))))) = Temporal
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octadFromFin (FS (FS (FS (FS (FS (FS (FS FZ))))))) = Simulation
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||| Round-trip 1: every dimension survives ordinal encode/decode (injective).
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export
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octadFinInverseL : (d : OctadDimension) -> octadFromFin (octadToFin d) = d
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octadFinInverseL Data = Refl
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octadFinInverseL Metadata = Refl
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octadFinInverseL Provenance = Refl
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octadFinInverseL Lineage = Refl
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octadFinInverseL Constraints = Refl
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octadFinInverseL AccessControl = Refl
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octadFinInverseL Temporal = Refl
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octadFinInverseL Simulation = Refl
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||| Round-trip 2: every ordinal in [0,8) names a dimension (surjective, no gaps).
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export
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octadFinInverseR : (i : Fin 8) -> octadToFin (octadFromFin i) = i
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octadFinInverseR FZ = Refl
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octadFinInverseR (FS FZ) = Refl
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octadFinInverseR (FS (FS FZ)) = Refl
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octadFinInverseR (FS (FS (FS FZ))) = Refl
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octadFinInverseR (FS (FS (FS (FS FZ)))) = Refl
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octadFinInverseR (FS (FS (FS (FS (FS FZ))))) = Refl
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octadFinInverseR (FS (FS (FS (FS (FS (FS FZ)))))) = Refl
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octadFinInverseR (FS (FS (FS (FS (FS (FS (FS FZ))))))) = Refl
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--------------------------------------------------------------------------------
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-- 2. DriftCategory ≅ OctadDimension (the asserted bijection, made real)
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--------------------------------------------------------------------------------
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||| Each drift category detects inconsistency in exactly one octad dimension,
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||| paired by ordinal.
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public export
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driftToDim : DriftCategory -> OctadDimension
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driftToDim Structural = Data
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driftToDim SemanticDrift = Metadata
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driftToDim TemporalDrift = Provenance
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driftToDim Statistical = Lineage
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driftToDim Referential = Constraints
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driftToDim ProvenanceDrift = AccessControl
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driftToDim SpatialDrift = Temporal
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driftToDim EmbeddingDrift = Simulation
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||| Inverse pairing.
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public export
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dimToDrift : OctadDimension -> DriftCategory
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dimToDrift Data = Structural
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dimToDrift Metadata = SemanticDrift
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dimToDrift Provenance = TemporalDrift
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dimToDrift Lineage = Statistical
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dimToDrift Constraints = Referential
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dimToDrift AccessControl = ProvenanceDrift
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dimToDrift Temporal = SpatialDrift
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dimToDrift Simulation = EmbeddingDrift
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||| The drift↔octad correspondence is a genuine bijection (round-trip 1).
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export
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driftDimInverseL : (c : DriftCategory) -> dimToDrift (driftToDim c) = c
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driftDimInverseL Structural = Refl
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driftDimInverseL SemanticDrift = Refl
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driftDimInverseL TemporalDrift = Refl
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driftDimInverseL Statistical = Refl
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driftDimInverseL Referential = Refl
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driftDimInverseL ProvenanceDrift = Refl
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driftDimInverseL SpatialDrift = Refl
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driftDimInverseL EmbeddingDrift = Refl
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||| …and round-trip 2.
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export
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driftDimInverseR : (d : OctadDimension) -> driftToDim (dimToDrift d) = d
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driftDimInverseR Data = Refl
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driftDimInverseR Metadata = Refl
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driftDimInverseR Provenance = Refl
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driftDimInverseR Lineage = Refl
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driftDimInverseR Constraints = Refl
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driftDimInverseR AccessControl = Refl
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driftDimInverseR Temporal = Refl
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driftDimInverseR Simulation = Refl
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--------------------------------------------------------------------------------
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-- 3. Sidecar isolation: the write model agrees with the tier classification
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--------------------------------------------------------------------------------
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||| Whether augmenting a given octad dimension writes to the *target* database.
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||| Defined per-dimension (independently of `dimensionTier`): the three
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||| read-path/sidecar dimensions never touch the target; the overlay dimensions
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||| add storage alongside it.
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public export
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writesTarget : OctadDimension -> Bool
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writesTarget Provenance = False -- piggyback: append-only provenance sidecar
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writesTarget Temporal = False -- piggyback: read-path temporal snapshots
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writesTarget Constraints = False -- piggyback: read-path drift observation
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writesTarget Data = True
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writesTarget Metadata = True
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writesTarget Lineage = True
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writesTarget AccessControl = True
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writesTarget Simulation = True
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||| SIDECAR ISOLATION (the core safety guarantee): every Tier-1 (piggyback)
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||| dimension provably never writes to the target database. This proves the
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||| independently-defined write model is *consistent* with the tier model — a
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||| real cross-check, not a tautology.
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export
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tier1NeverWritesTarget : (d : OctadDimension) ->
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dimensionTier d = Tier1 -> writesTarget d = False
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tier1NeverWritesTarget Provenance _ = Refl
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tier1NeverWritesTarget Temporal _ = Refl
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tier1NeverWritesTarget Constraints _ = Refl
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tier1NeverWritesTarget Data Refl impossible
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tier1NeverWritesTarget Metadata Refl impossible
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tier1NeverWritesTarget Lineage Refl impossible
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tier1NeverWritesTarget AccessControl Refl impossible
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tier1NeverWritesTarget Simulation Refl impossible
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||| Dual: every Tier-2 (overlay) dimension does write to the target — so the
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||| isolation above is not vacuous (the two tiers genuinely partition by write
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||| behaviour).
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export
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tier2WritesTarget : (d : OctadDimension) ->
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dimensionTier d = Tier2 -> writesTarget d = True
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tier2WritesTarget Data _ = Refl
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tier2WritesTarget Metadata _ = Refl
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tier2WritesTarget Lineage _ = Refl
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tier2WritesTarget AccessControl _ = Refl
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tier2WritesTarget Simulation _ = Refl
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tier2WritesTarget Provenance Refl impossible
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tier2WritesTarget Temporal Refl impossible
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tier2WritesTarget Constraints Refl impossible
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--------------------------------------------------------------------------------
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-- Negative controls (the invariants are non-vacuous)
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--------------------------------------------------------------------------------
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||| Distinct dimensions are genuinely distinct — the ordinal tagging cannot
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||| collide two dimensions onto one slot.
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export
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dataNotMetadata : Not (Data = Metadata)
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dataNotMetadata Refl impossible
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||| Sidecar isolation has real content: at least one dimension *does* write to
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||| the target, so `writesTarget` is not constantly `False`.
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export
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dataDoesWrite : writesTarget Data = True
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dataDoesWrite = Refl

src/interface/abi/verisimiser-abi.ipkg

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@@ -9,3 +9,4 @@ modules = Verisimiser.ABI.Types
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, Verisimiser.ABI.Layout
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, Verisimiser.ABI.Foreign
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, Verisimiser.ABI.Proofs
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, Verisimiser.ABI.Octad

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