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Eidoku Gate

Eidoku

Feasibility gate for generated reasoning.
Author: Shinobu Miya ORCID: 0009-0002-0322-7342 X: @ShinobuMiyaCPM
> EIDOKU ALERT: STRUCTURAL FEASIBILITY

> Likelihood ≠ Validity

> Hallucination is treated as a structural failure (constraint violation)

> Outcome is explicit: ACCEPT / REJECT / UNK

arXiv Code System-2 FW
Eidoku is a post-generation verification gate that evaluates structural feasibility of LLM outputs under explicit constraints. When no candidate satisfies the constraints, returning UNK is a valid outcome.

1. Overview

Eidoku evaluates generated outputs as candidates in a constraint system. Its objective is not “truth in general” but feasibility under stated constraints. This makes hallucinations visible as violations rather than “low-confidence answers”.

Design goal: replace “plausible text” with an explicit decision boundary: outputs that do not satisfy constraints are deterministically rejected (or marked UNK).

2. What Eidoku Checks

Eidoku assigns a violation cost to each candidate by combining multiple structural signals. (Exact definitions are in the paper; this page provides the minimal operational picture.)

  • Structural: unsupported entity transitions / broken dependency edges
  • Geometric: abnormal deformation in local embedding neighborhood
  • Logical: entailment/contradiction signals (e.g., NLI-style checks)
Candidate score (sketch):   J = Σ (local violation cost)   → compare to τc / threshold

3. Pipeline Role

System-1 (LLM) generates candidates

Eidoku computes violation costs under an active profile

Gate: accept if feasible, otherwise reject / UNK

Pass accepted outputs to downstream execution / delivery

Eidoku is designed to plug into System-2 FW as a verifier module, but it can also be used as a standalone gate for LLM outputs.

4. Claims

  • Eidoku enforces feasibility constraints post-generation (model-agnostic)
  • Rejection/abstention is an explicit, valid output state
  • Hallucinations are operationalized as structural violations
Non-claims: Eidoku does not prove truth in general, and does not replace domain expertise. It is a decision gate under explicit profiles.