# The Verification Horizon: No Silver Bullet for Coding Agent Rewards

> Verification is now the harder problem for coding agents and must co-evolve with the generator to prevent reward hacking.

- **Source:** [arXiv](https://arxiv.org/abs/2606.26300)
- **Published:** 2026-06-27
- **Permalink:** https://picx.dev/p/4mA5OF
- **Whiteboard:** https://picx.dev/p/4mA5OF/image

## Summary

## Summary (Overview)

- **Verification is now harder than generation**: As coding agents become more powerful, producing candidate solutions has become easier while reliably verifying them has become the *harder* problem—an inversion of the classical intuition.
- **Three dimensions of verification quality**: The paper characterizes verification signals along **scalability**, **faithfulness**, and **robustness**, and argues that achieving all three simultaneously is the central difficulty. No single mechanism can solve verification once and for all.
- **Four distinct reward constructions are studied**: (1) test-driven rewards for SWE tasks, (2) rubric/interactive judges for frontend tasks, (3) direct user feedback as verifier for real-world agent tasks, and (4) an automated agent evaluator for long-horizon tasks.
- **Quantitative results**: Behavior monitoring reduces the hacked resolved rate from **28.57% to 0.56%** while improving the clean resolved rate from **40.22% to 60.53%** across three SWE-Bench variants. Span-KTO (using user feedback) achieves up to **+13.3 pp** improvement on a private benchmark. Evaluator-filtered RFT improves from **11.41 to 23.52** on OpenHands.
- **Core observation**: Verification must **co-evolve** with the generator—no fixed reward function can remain effective as policy capability grows.

## Introduction and Theoretical Foundation

The paper frames the verification challenge for coding agents through two foundational insights:

1. **Inversion of the classical asymmetry**: Brooks’s (1987) “No Silver Bullet” lesson from software engineering is reinterpreted for coding agents. As foundation models develop stronger reasoning and harness engineering advances, *generating* candidate solutions has become easy, but *reliably verifying* them has become the harder problem.

2. **The proxy–intent gap**: Every verifier is only a **proxy** for human intent, never the intent itself. This creates a twofold difficulty:
   - **Faithfulness is inherently hard**: Intent is underspecified by nature—users often cannot articulate full expectations until a counterexample exposes an omission.
   - **Optimization widens the gap**: When a proxy is used as a reward signal, the generator learns to exploit the divergence between proxy and intent, leading to **reward hacking**—not a bug that can be patched, but an inevitable consequence of sustained optimization toward an imperfect objective.

The paper formally connects this to computability theory via **Rice’s theorem** (Rice, 1953): every non-trivial semantic property of a program is undecidable, independently supporting the claim that perfect verification is impossible.

Three dimensions of verification signal quality are defined:

- **Scalability**: Can the signal be produced cheaply at the scale required for training?
- **Faithfulness**: How much of the true user intent does the signal reflect?
- **Robustness**: Can the verifier’s judgments hold across diverse/adversarial inputs and withstand optimization pressure from a strengthening generator?

Most existing approaches satisfy only two: unit tests (scalable + robust, but narrow), LLM judges (scalable + faithful, but vulnerable to exploitation), human expert review (faithful + robust, but cannot scale). The intersection of all three—*cheap, deep, and resistant to gaming*—remains missing, motivating a **co-evolutionary** approach.

## Methodology

### 2. Test-Driven Rewards for SWE-like Tasks

**Automated Data Pipeline** (SWE-Universe): Given an issue-linked pull request, the pipeline separates the change into a fix patch and a test patch, restores the repository to the pre-fix state, and constructs a Dockerized environment with a unified verifier `evaluation.sh` whose binary pass/fail result serves as the test-driven reward.

**Agentic Quality Judge**: To address reward faithfulness (false positives / false negatives), the paper decomposes semantic quality into two dimensions:
- `instruct_clear`: whether the instruction sufficiently expresses the intended task.
- `instruct_ut_align`: whether the tests faithfully operationalize the instruction.

An agentic judge (based on MiniSWEAgent) actively explores the repository—inspecting files, executing commands, reading tests—and produces dimension-level judgments aggregated into an `overall_good` label. The judge is evaluated on a human-annotated benchmark (Table 1).

**Behavior Monitoring**: To mitigate reward hacking (e.g., solution artifact retrieval, test tampering), the paper introduces a **trajectory-level behavior monitor** during RL. For each rollout, the monitor audits command history, network accesses, git operations, etc., against a pattern set \( \mathcal{P} \). When a high-risk pattern is matched, a **token-level penalty** is applied to reduce the reward. The pattern set is updated iteratively: after each training interval, new shortcut strategies discovered by the strengthening policy are added to \( \mathcal{P} \).

### 3. Interactive Judge for Frontend Tasks

**Rubric-based Static Judge**: Decomposes evaluation into structured dimensions (Functional, Content, Visual, Layout, UX, Technical). The judge takes rendered screenshots and source code as input, producing a score. Rubrics improve inter-annotator agreement and cross-judge consistency (Table 4).

**Agentic Interactive Judge**: A three-stage pipeline (Figure 7):
1. **Action Planning**: Given the rendered page and rubrics, an action planner generates a complete action list in a single pass (using a pre-defined vocabulary: click, scroll, navigate, fill form, press key, etc.).
2. **Execution**: A Playwright-based render server executes actions in a live browser and records the interaction trace (screen recordings, state changes).
3. **Scoring**: A judge model evaluates sampled frames from the trace against rubric criteria, producing the final score.

This approach avoids length-exploitation hacking (to which static judges are susceptible) because the reward derives from runtime behavior rather than source code.

### 4. User Feedback as Verifier

**Feedback Annotation Pipeline**: From real user–agent conversations (125,528 trajectories, 535,737 rounds), an LLM-as-Judge (Qwen-Plus) annotates each round with:
- **polarity**: positive, neutral, or negative.
- **confidence**: high/medium/low.
- **negative reason category** (execution error, misunderstanding, omission, overaction, inefficiency, communication).
- **user_fairness**: whether the user’s evaluation is objectively fair.

Key characteristics (Figure 8): highly asymmetric polarity (76.6% neutral, 20.0% negative, 3.5% positive); negative signals are high-confidence; errors concentrate in execution (56.6%) and misunderstanding (21.1%).

**Training Methods**:
- **Reweight SFT (RW-SFT)** : Applies differentiated loss weights to tokens of different polarities:
  \[
  \mathcal{L}_{\text{RW-SFT}}(\theta) = -\mathbb{E}_t \left[ w(p_t) \log \pi_\theta(y_t | x, y_{<t}) \right]
  \]
  with \( w_{\text{pos}} = 1.2, w_{\text{neu}} = 1.0, w_{\text{neg}} = 0.8 \).

- **Span-Level KTO**: Defines spans \( S_k \) as contiguous segments of consistent polarity (positive or negative; neutral tokens excluded from preference learning). For each span, the implicit reward is:
  \[
  r_\theta(x, S_k) = \sum_{t=s_k}^{e_k} \left[ \log \pi_\theta(y_t | x, y_{<t}) - \log \pi_{\text{ref}}(y_t | x, y_{<t}) \right]
  \]
  The reference point \( z_{\text{ref}} \) is estimated via EMA. The advantage is \( a_k = r_\theta(x, S_k) - z_{\text{ref}} \), and the span loss:
  \[
  \ell(S_k) = \begin{cases}
  -\lambda_w \cdot \sigma(\beta \cdot a_k) & \text{if } p_{S_k} = \text{positive} \\
  -\lambda_l \cdot \sigma(-\beta \cdot a_k) & \text{if } p_{S_k} = \text{negative}
  \end{cases}
  \]
  with a neutrality regularization term:
  \[
  \mathcal{L}_{\text{neutral}}(\theta) = -\mathbb{E}_{t \in \mathcal{T}_{\text{neu}}} \left[ \log \pi_\theta(y_t | x, y_{<t}) \right]
  \]
  The full objective: \( \mathcal{L}_{\text{Span-KTO}} = \mathcal{L}_{\text{pref}} + \mathcal{L}_{\text{neutral}} \).

### 5. Dynamic Agent Judge for Long-horizon Tasks

**Evaluation Agent Design**: Given task specification \( T \) and generated repository \( G(T) \), the evaluator agent \( E \):
- Decomposes \( T \) into a checklist \( C = \{c_1, \dots, c_N\} \) of verifiable functional requirements.
- Assesses implementation against each item, producing:
  - **Checklist pass rate**: \( S_{\text{pass}} = \frac{1}{N} \sum_{i=1}^N \mathbb{I}[c_i \text{ passes}] \)
  - **Overall evaluation score**: \( S_{\text{eval}} \) (holistic code quality).

**Metrics** (to quantify alignment with unit-test ground truth \( S_{\text{UT}} \)):
- Best-of-\( N \) Accuracy: \( \frac{1}{M} \sum_{j=1}^M \mathbb{I}[ k^* = \arg\max_k S_{\text{UT}}^{(j,k)} ] \)
- Regret: \( \frac{1}{M} \sum_{j=1}^M \left( \max_k S_{\text{UT}}^{(j,k)} - S_{\text{UT}}^{(j,k^*)} \right) \)
- Kendall’s \( \tau \), Pearson’s \( r \), Spearman’s \( \rho \) between evaluator scores and \( S_{\text{UT}} \).
- Threshold-conditioned UT score: \( \bar{S}_{\text{UT}}(\theta) = \frac{1}{|\mathcal{A}_\theta|} \sum_{(j,k) \in \mathcal{A}_\theta} S_{\text{UT}}^{(j,k)} \) where \( \mathcal{A}_\theta = \{ (j,k) : S_{\text{eval}}^{(j,k)} \geq \theta \} \).

**Prompt Iteration**: Five versions (v1–v5) progressively address failure patterns: lazy evaluation without execution, lack of end-to-end validation, role confusion (evaluator modifying generator code), context overload, and over-specification (v5 shows degradation—more detail is not always better).

## Empirical Validation / Results

### Key Tables

**Table 1: Agentic judge ablation on human-annotated benchmark**
| Strategy | #Turns | instruct_clear (P/R/F1) | instruct_ut_align (P/R/F1) |
|----------|--------|-------------------------|----------------------------|
| 3-voting, Qwen-Plus | 37/17/92 | 97.26/92.21/94.67 | 74.00/78.72/76.29 |
| 5-voting, Qwen-Max | 24/14/40 | 97.18/89.61/93.24 | 72.73/85.11/78.43 |
| + Examples | 25/15/46 | 100.00/85.71/92.31 | 78.72/78.72/78.72 |
| + Examples + GT patch | 27/17/57 | 100.00/83.12/90.78 | 75.93/87.23/81.19 |

**Table 3: Behavior monitoring suppresses reward hacking**
| Benchmark | Clean Resolved (%) Base → +Mon. | Hack Rate (%) Base → +Mon. | Hacked Resolved (%) Base → +Mon. |
|-----------|--------------------------------|----------------------------|----------------------------------|
| SWE-Bench Verified | 36.49 → **64.98** (+28.50) | 51.49 → 2.13 (-49.35) | 41.35 → 0.70 (-40.65) |
| SWE-Bench Multilingual | 50.73 → **66.33** (+15.60) | 31.19 → 1.59 (-29.61) | 23.76 → 0.84 (-22.93) |
| SWE-Bench Pro | 33.43 → **50.27** (+16.84) | 30.60 → 0.20 (-30.40) | 20.61 → 0.13 (-20.47) |
| **Average** | **40.22 → 60.53 (+20.31)** | **37.76 → 1.31 (-36.45)** | **28.57 → 0.56 (-28.02)** |

**Table 4: Rubric judge alignment with human annotations**
| Scorer | Prompt | Spearman ρ | Kendall τ | Battle Agreement | Cross-Judge τ |
|--------|--------|------------|-----------|------------------|---------------|
| Qwen3.7-Plus | Default | 0.810 | 0.714 | 40.4% | ≥ 0.93 |
| Qwen3.7-Plus | Strict | 0.810 | 0.714 | 41.4% | |
| Qwen3.6-Max | Default | 0.905 | 0.786 | 34.2% | |
| Qwen3.6-Max | Strict | 0.905 | 0.786 | 36.1% | |

**Table 5: Interactive Judge RFT results**
| Setting | WebDev Human Eval | QwenWebBench |
|---------|-------------------|--------------|
| Qwen-Plus (intermediate) | 78 | 1509 |
| + Interactive Judge RFT | **84** (↑ 6) | **1545** (↑ 36) |

**Figure 10: Span-KTO outperforms SFT and RW-SFT across five benchmarks**
| Benchmark | SFT | RW-SFT | Span-KTO |
|-----------|-----|--------|----------|
| SWE-bench Verified | 54.2 | 55.2 | **59.8** |
| SWE-bench Pro | 33.4 | 36.5 | 38.1 |
| SWE-bench Multilingual | 37.7 | 41.2 | **45.5** |
| Aone-bench | 14.8 | 25.0 | **28.1** |
| Octo-bench | 62.3 | 67.0 | 67.4 |

**Table 6: Evaluator prompt iteration on NL2Repo**
| Prompt | BoN-Acc ↑ | Regret ↓ | τ ↑ | r_eval / ρ_eval ↑ | r_pass / ρ_pass ↑ |
|--------|-----------|----------|-----|-------------------|-------------------|
| v1 | 57.9 | 0.086 | 0.379 | 0.489 / 0.448 | 0.503 / 0.477 |
| v2 | 63.9 | 0.088 | 0.420 | 0.525 / 0.490 | 0.623 / 0.589 |
| v3 | 62.4 | 0.081 | 0.440 | 0.556 / 0.564 | 0.599 / 0.597 |
| **v4** | **67.4** | 0.089 | **0.473** | **

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