Research map / Large language models / Reasoning and chain of thought
interwhen: A Generalizable Framework for Steering Reasoning Models with Test-time Verification
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Proposes interwhen, a single-trajectory test-time verification framework that forks the reasoning model to extract states, runs code/formal verifiers asynchronously (with verifiers auto-synthesized from policies, including Lean/z3), and steers the model on violations.
Problem
Test-time verification of long reasoning traces: final-answer-only verification misses early errors, while branch-and-verify search multiplies compute; verifiers for process/policy compliance are scarce outside math and code.
Approach
Decouple verification from generation: periodically fork the model to extract verifiable state variables from the partial trace, run verifiers asynchronously, and intervene with feedback only on violations; verifiers are auto-generated from natural-language policies (with Lean/z3 formal checks).
Key results
- On tau2-bench telecom solo mode, Qwen3-30B-A3B-Thinking pass^4 rises from 32.17% (CoT) to 87.70% with interwhen at 96.93% of CoT tokens.
- On non-agentic tasks, interwhen reaches 97.2% on GameOf24 at 61.6% of CoT tokens versus 96.1% for Generate-Test at 116.3% tokens.
- k-Stable early stopping reduces tokens by 32.2% on Maze and 55.1% on Verina-Spec for Qwen3-30B without accuracy loss.
Surprising findings
- interwhen often reduces token usage relative to CoT on agentic tasks, attributed to verifier feedback avoiding unproductive reasoning.
- A 3B SLM extractor matches a frontier GPT-5.4 extractor within 0.4 pp on tau2-bench.
Limitations
- Verifier completeness is not guaranteed; implicit policy rules may be missed.
- Strict verifiers on vague policies can over-block tool calls, lowering helpfulness on fulfillable tasks (AgentSafetyBench).
- Extraction by LLM can err, and soundness holds only modulo extraction errors.
Experimental setup
Datasets: tau2-bench AgentSafetyBench VitaBench Maze SpatialMap GameOf24 ZebraLogic Verina
Benchmarks: tau2-bench AgentSafetyBench VitaBench Maze SpatialMap GameOf24 ZebraLogic Verina
Metrics: accuracy pass^4 avg@4 reward safety score token %
Baselines: CoT Best-of-N critic Generate-Test critic Tree of Thoughts DEER EAT Claude Haiku 4.5 GPT-5.4 Mini GPT-5.4
Builds on: LLM-Modulo Tree of Thoughts Generate-Test with critic Best-of-N
Closest papers by meaning
- MAS-ProVe: Understanding the Process Verification of Multi-Agent Systems (ICML 2026 · similarity 0.88)
- What If We Allocate Test-Time Compute Adaptively? (ICML 2026 · similarity 0.88)
- V1: Unifying Generation and Self-Verification for Parallel Reasoners (ICML 2026 · similarity 0.87)
- Rewarding Progress: Scaling Automated Process Verifiers for LLM Reasoning (ICLR 2025 · similarity 0.87)
- Variation in Verification: Understanding Verification Dynamics in Large Language Models (ICLR 2026 · similarity 0.87)
- Scaling Code-Assisted Chain-of-Thoughts and Instructions for Model Reasoning (NeurIPS 2025 · similarity 0.86)
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