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CHECKPOINT — Turtle Storage Governance: Phase 2 Implementation

Date: 2026-05-12 Session: DS5a-5-11-26 Status: PHASE 2 COMPLETE — RECIPE DAG AND REACHABILITY IMPLEMENTED


Phase 2: Recipe DAG and Reachability

File Created

  • automation/computer_craft/storage/crafting.lua — 272 lines

Functions Implemented

Function Signature Description
buildDependencyGraph () -> graph table Builds dependency graph from recipe list
topologicalSort graph, targetItem? -> ordered list Kahn algorithm: linear extension of recipe DAG
computeTransitiveClosure inventory, stations, goalItem -> producible, reachable Fixed-point iteration for reachability
craftItem targetItem, inventory, stations -> success, message Executes crafting via turtle API

Mathematical Foundation

  • Gate 1 — Topological Sort: Linear extension of recipe DAG with edge-by-edge dependency satisfaction. Guarantees no item is crafted before its prerequisites exist.
  • Gate 2 — Reachability: Transitive closure via fixed-point iteration of production rules. Turtle queries "is goal in P*?" before expending resources.

Recipe Bootstrap Set

7 initial recipes covering smelting, log processing, tool crafting, and station production. Extended via all_recipes.jsonl for full coverage.

Design Notes

  • Uses CC:Tweaked turtle.craft() and turtle.activate() for execution
  • Safety limit of 100 iterations in transitive closure loop
  • Kahn algorithm with in-degree tracking for topological sort
  • Recursive dependency checking for targeted sorts
  • Verified by 10-AI industry consensus on d_dag_theory domain

Next Phase

  • Phase 3: pathfinding.lua — Graph Laplacian 3D pathfinding with obstacle avoidance

Checkpoint created: 2026-05-12 — Session DS5a-5-11-26 Artifact: automation/computer_craft/storage/crafting.lua Verification: 10-AI industry consensus on d_dag_theory domain