代码生成

Recent progress in neural theorem proving has been driven largely by mathematics-oriented and, more recently, by verification-condition and repository-scale benchmarks. These settings are valuable, but they do not directly test whether a model can synthesize machine-checkable proofs about concrete low-level implementations under an industrial proof-engineering stack. We address this gap with *s2n-bignum-bench*, a benchmark derived from AWS *s2n-bignum*, a formally verified library of hand-tuned big-integer assembly routines for ARM and x86. The current corpus packages $\mathbf{2{,}301}$ HOL Light proof obligations as standalone `setup.ml`/`query.txt` tasks spanning big-integer arithmetic, elliptic-curve routines, ML-KEM, SHA-3/Keccak, and shared ISA infrastructure. Each task reproduces the relevant proving environment, exposes the theorem statement to be proved, and expects a tactic expression that is accepted by HOL Light within a fixed timeout. The benchmark spans five categories so that one can separate generic HOL Light fluency from ISA-specific reasoning. We release the extraction pipeline, retrieval utilities, an offline evaluator with syntax/type pre-checking and integrity checks based on axiom-difference and forbidden-tactic detection, paired verbatim and obfuscated query variants, and a checkpointed assessment workflow to support iterative feedback-driven $\operatorname{pass}@K$ studies and future step-level proof construction workflows. Initial zero-shot baselines using GPT-5.3-based and other frontier models solve at most $\mathbf{6.35}$% of the problem set (when provided only with the goal term), highlighting the difficulty of HOL Light tactic synthesis for low-level verification obligations under trusted ISA semantics. The code to set up and use the benchmark is available at [s2n-bignum-bench](https://github.com/kings-crown/s2n-bignum-bench).

Multi-modal models require visual tokenizers that jointly capture high semantic density and fine-grained structural fidelity. Representation Autoencoders (RAEs) offer a promising direction by decoding images directly from a pre-trained semantic space using high-dimensional continuous tokens, bypassing the information bottleneck of VAEs and benefiting both visual understanding and generation. In this work, we aim to discretize these continuous vision representations to bridge the gap with language models — a non-trivial challenge, as existing quantization methods suffer from codebook collapse, failing to scale while preserving semantic coherence. We identify the root cause as **metric mismatch**: standard Euclidean codebook objectives are fundamentally misaligned with the anisotropic geometry of representation space, leading to codebook embeddings with high-variance magnitude scales and uneven angular distributions that hinder scalability. To address this, we propose **Hyper-Spherical Quantization (HSQ)** , which decouples semantic content from feature magnitude via angular routing, preventing code assignment from being dominated by scale rather than meaning. The resulting **discrete Representation Autoencoder (dRAE)** achieves high-fidelity reconstruction while preserving semantic integrity and supporting scalable discrete latent spaces. Extensive experiments demonstrate consistent performance gains as the vocabulary size scales to $131,072$, along with strong unified performance across both visual understanding and generation benchmarks.

Generating realistic human trajectories is essential for mobility simulation but remains challenging when they must generalize across cities and respect road network constraints. In practice, existing methods often suffer from three key limitations: geographic overfitting, length-rigid generation, and off-road drift when generating GPS coordinates directly. To address these issues, we propose \textbf{XTraj}, a transferable coarse-to-fine autoregressive framework for road-consistent trajectory generation. Specifically, XTraj first learns transferable road-segment representations by integrating road geometry, POI context, historical traffic intensity, and graph topology. Based on these representations, it then autoregressively generates variable-length road-segment routes under road-connectivity constraints. Finally, instead of directly regressing latitude-longitude coordinates, XTraj further refines each generated route in a route-progress space by predicting monotonic progress increments along valid road geometry, from which GPS points are recovered by interpolation. This route-aligned design naturally supports variable-length GPS generation and guarantees road-geometry consistency by construction. Experiments on two real-world vehicle trajectory datasets show that XTraj improves spatial fidelity over competitive baselines, transfers effectively to unseen cities in a zero-shot setting, and ensures road-geometry consistency by construction without any post-hoc map matching. The implementation is provided in \textbf{https://anonymous.4open.science/r/XTraj-EBE7/}.

High-dynamic-range (HDR) formats and displays are becoming increasingly prevalent, yet state-of-the-art image generators (e.g., Stable Diffusion and FLUX) typically remain limited to low-dynamic-range (LDR) output due to the lack of large-scale HDR training data. In this work, we show that existing pretrained diffusion models can be easily adapted to HDR generation without retraining from scratch. A key challenge is that HDR images are natively represented in linear RGB, whose intensity and color statistics differ substantially from those of sRGB-encoded LDR images. This gap, however, can be effectively bridged by converting HDR inputs into perceptually uniform encodings (e.g., using PU21 or PQ). Empirically, we find that LDR-pretrained variational autoencoders (VAEs) reconstruct PU21-encoded HDR inputs with fidelity comparable to LDR data, whereas linear RGB inputs cause severe degradations. Motivated by this finding, we describe an efficient adaptation strategy that freezes the VAE and finetunes only the denoiser via low-rank adaptation in a perceptually uniform space. This results in a unified computational method that supports both text-to-HDR synthesis and single-image RAW-to-HDR reconstruction. Experiments demonstrate that our perceptually encoded adaptation consistently improves perceptual fidelity, text-image alignment, and effective dynamic range, relative to previous techniques.

Large language models (LLMs) are increasingly asked not only to write static interfaces, but to construct executable interactive worlds from natural language. Browser-native 3D, commonly built with Three.js, is a natural next frontier: generated programs must integrate assets, obey spatial and physical constraints, and keep user-facing controls synchronized with hidden runtime state. Existing web-generation benchmarks and evaluators, however, largely observe only pixels or DOM nodes, while the mechanics of a Three.js world unfold inside an opaque ``. We introduce WorldCoder-Bench, a benchmark for autonomous, physically grounded 3D world synthesis. WorldCoder-Bench contains 2,026 expert-curated tasks across Simulation, Rendering, and Application scenarios, with optional `.glb` assets and hidden behavioral contracts. We further propose StateProbe, an execution-based protocol that probes generated programs in a sandboxed browser and verifies hidden, mutation-hardened contracts over runtime states and transitions. Beyond verification coverage, we report Return on Automation and Time Efficiency Multiplier to measure correctness-adjusted cost and time savings. Across nine frontier models, the best system reaches only 27.8% verification coverage on WorldCoder-Core and 19.9% on WorldCoder-Rob, with failures dominated by state-schema drift and broken interaction chains rather than missing scene elements. Utility metrics further show that cheap or fast models can still provide substantial value on easier domains. WorldCoder-Bench is available at https://anonymous.4open.science/r/WorldCoder-Bench/.

Automated failure attribution uses LLMs to identify where and why agentic systems fail. As agents become more capable, their failures become subtler, making automated attribution increasingly important. We introduce Who&When Pro, a large-scale benchmark for automated failure attribution in agentic systems. Using a strictly controlled pipeline that injects a failure only after exactly replaying a successful prefix, we construct 12,326 failed trajectories with golden labels across 3 modalities and 26 benchmarks covering various scenarios. Beyond benchmarking, we conduct extensive experiments and analyses, revealing systematic patterns in how models attribute failures across modalities, protocols, and model families, and providing empirical guidance for future automated failure attribution systems.

Token merging has emerged as an effective training-free strategy for accelerating diffusion models by reducing redundant token computation while minimizing generation degradation. A key challenge is determining which tokens can be safely merged and which should be preserved for subsequent computation. Existing method addresses this by preserving prompt-aligned foreground regions, thereby protecting semantically relevant structures. However, this text-relevance criterion overlooks background objects, local details that are not explicitly mentioned in the prompt, leading to degraded structural coherence. In this work, we propose Dynamics-aware Token Merging (DaTMe), a training-free framework that grounds token merging in the underlying diffusion dynamics. Our key insight is that token importance should reflect whether a token remains unresolved during denoising and whether it carries structural information. To this end, DaTMe constructs a dynamics-aware importance map from the Tweedie denoised estimate. The map combines a temporal signal, measuring inter-step changes in the predicted clean image, with a structural signal, capturing local high-frequency content such as boundaries and fine details. Using this map, DaTMe adaptively assigns tokens into merging roles under a given compression ratio: important tokens are preserved as anchors, while tokens that are both temporally stabilized and structurally homogeneous are selected as safe merge candidates. Experiments on PixArt-$\alpha$ and FLUX demonstrate that DaTMe maintains visual fidelity across the entire image, highlighting diffusion dynamics as an effective token-level merging decision in efficient generation.

Precisely reproducing a target span verbatim within a long context is a fundamental capability test for LLMs: even when the target string is present in context, models often still drift within the span or fail to stop correctly, revealing limitations in source grounding and boundary control. This capability has broad practical relevance. For instance, code generation often requires embedding sensitive strings such as API keys exactly as they appear in context. In this work, we construct a benchmark to test exact span reproduction ability across contracts, scientific literature, code, and random sequences, and find that current models still make surprisingly frequent errors. To address this, we propose CopyGen, a lightweight copy-constrained plugin for frozen LLMs that turns copying from a byproduct of next-token prediction into a controlled process. Our key idea is to decompose copying into three distinct decisions: when to copy, how far to copy, and when to stop. Concretely, CopyGen first determines whether to enter copy mode, then predicts a tentative copy length, and finally verifies the generated span token by token. During verification, we adaptively adjust the logits of copy continuation tokens to incentivize or suppress continuation, and emit only the longest valid prefix. Across three LLM backbones and four benchmark tasks, CopyGen improves average exact match by 35% relative without model finetuning, and integrates seamlessly with SFT to further improve it by 4%, while substantially accelerating generation. These results suggest that reliable exact copying is not something LLMs obtain for free, but a decoding-time control problem that requires explicit modeling. Code is available at https://anonymous.4open.science/r/CopyGen-A65D.

A fundamental limitation of Text-to-Code is that no guarantee can be obtained about the correctness of the generated code. Therefore, to ensure its correctness, the generated code still has to be reviewed, tested, and maintained by developers. However, parsing through LLM-generated code can be tedious and time-consuming, potentially negating the productivity gains promised by AI-coding tools. To address this challenge, we present Viverra, a system that automatically produces *formally verified annotations* alongside generated code to aid user's understanding of the generated program. Given a natural-language task description, Viverra prompts an LLM to synthesize a C program together with candidate assertions expressing safety and correctness properties. It then verifies those assertions in a compositional and best-effort manner via a portfolio of bounded model checkers. Evaluation on 18 diverse programming tasks suggests that Viverra can efficiently generate code with verified assertions, and that these assertions improve users' performance on code-comprehension tasks in a user study with more than 400 participants.

We introduce VideoMDM, a diffusion-based framework that trains 3D human motion priors directly from accurate 2D poses extracted from monocular videos, without any 3D ground truth. A pretrained 2D-to-3D lifter provides approximate 3D pose sequences that serve as a noisy teacher: these are diffused, denoised by the model in 3D, and supervised in 2D by reprojecting the prediction and comparing against accurate keypoints. We show that, under mild assumptions, a depth-weighted 2D reprojection loss is equivalent in expectation to direct 3D supervision, and we adapt standard 3D motion regularizers — velocity consistency and over-parameterized representation alignment — to this 2D setting. Unlike methods that lift 2D to 3D only at inference, VideoMDM learns a coherent 3D motion manifold during training. On HumanML3D it nearly closes the gap to fully 3D-supervised MDM (FID 0.88 vs 0.54); On real video datasets Fit3D and NBA the method learns to generate motions consistently preferred by humans, with strong quantitative results.

Test-time scaling is an important mechanism for improving large language models, especially on tasks with deterministic verifiers. Code translation is a canonical example: the source program constrains valid outputs, while compilers, type check- ers, and behavioral checks provide exact pass/fail feedback. Existing approaches typically apply these verifiers only after generation, which is inefficient because early errors corrupt the autoregressive context and are rarely corrected later. We introduce Decoding Time Verification (DTV), a framework that integrates deter- ministic program verification directly into the decoding loop. DTV interleaves generation with verifier calls under a state-machine controller that enforces valid prefixes, using structural-boundary checks and structure-aware rollback to prevent error propagation while reducing wasted tokens. We evaluate DTV on C-to-Rust and JavaScript-to-TypeScript translation. Using Qwen3-4B as the primary genera- tor under matched token budgets, DTV improves pass rates from 72.3% to 82.0% on C-to-Rust and from 33.3% to 46.0% on JavaScript-to-TypeScript relative to matched self-refinement baselines, while using fewer tokens per case; the same trend largely transfers to Gemma-4-E4B. In the evaluated cost-matched grid, DTV achieves a more favorable pass-rate-cost tradeoff than post-hoc verification or sampling-based scaling. These results show that verifier-guided decoding is an effective use of inference-time compute for code translation.

Large Language Models (LLMs) demonstrate strong capability in solving scientific and mathematical problems, yet they struggle to produce valid and challenging novel problems, an essential component for advancing LLM training and enabling autonomous scientific research. Existing problem generation approaches either depend on expensive human expert involvement or adopt naive self-play paradigms, which frequently yield invalid problems due to reward hacking. This work introduces VHG, a verifier-enhanced hard problem generation framework built upon three-party self-play. By integrating an independent verifier into the conventional setter-solver duality, our design constrains the setter’s reward to be jointly determined by problem validity (evaluated by the verifier) and difficulty (assessed by the solver). We instantiate two verifier variants: a Hard symbolic verifier and a Soft LLM-based verifier, with evaluations conducted on indefinite integral tasks and general mathematical reasoning tasks. Experimental results show that VHG substantially outperforms all baseline methods by a clear margin. Our codes are anonymously available at https://github.com/VHGMath/VHG_Math.

Generalized planning (GP), where a single policy solves multiple instances from a common planning domain, remains a challenging problem in AI. Abstraction plays an important role in GP, and Qualitative Numerical Planning (QNP) provides a compact abstract model for GP. However, useful QNP abstractions are difficult to construct and require substantial manual effort and expertise. We study whether QNP abstractions can be generated from PDDL domains and training instances by coupling LLM generation with symbolic reasoning. We propose a generate--debug--repair framework in which an LLM proposes abstract features and constructs a candidate QNP abstraction over the initial states, actions, and goals of the training instances. To improve reliability, we introduce verification-guided repair based on approximate soundness. Given a candidate abstraction, we solve it, validate the induced abstract instances, and apply one of two checking branches: SRCB tests an $m$-simulation relation between induced abstract and concrete instances to target approximate soundness, while PRCB tests whether the induced abstract plan refines into valid concrete solutions. Detected failures are converted into structured feedback for iterative repair. Experiments on seven GP benchmark domains with five LLMs show that verification-guided repair improves LLM-generated QNP abstractions over both single-pass generation and LLM self-repair, and helps some models produce abstractions that transfer across instances. Our results suggest that LLMs can serve as generators of symbolic abstractions for GP when coupled with formal error detection and structured repair feedback.

Large language models can now generate useful code from natural language, but their outputs still come without correctness guarantees. Verifiable code generation offers a path beyond testing by requiring models to produce not only executable code, but also formal specifications and machine-checkable proofs. Progress in this direction, however, is difficult to measure: existing benchmarks are often small, focus on only one part of the pipeline, lack ground-truth proofs or rigorous specification validation, or target verification settings far from mainstream software development. We present VeriContest, a benchmark of 946 competitive-programming problems from LeetCode and Codeforces for verifiable code generation in Rust with Verus. Each problem pairs a natural language description with expert-validated formal specifications, judge-accepted Rust code, Verus-checked proofs, and positive and negative test suites. VeriContest is constructed through a three-phase pipeline that scales from manually verified seed problems to semi-automated expansion with human-in-the-loop review. To further strengthen benchmark quality, we use testing as an additional quality-assurance layer for validating postcondition completeness. VeriContest supports both isolated and compositional evaluation of specification generation, code generation, proof generation, and end-to-end verified program synthesis. Evaluating ten state-of-the-art models reveals a sharp gap between ordinary coding ability and verifiable code generation: the strongest model reaches 92.18% on natural-language-to-code generation, but only 48.31% on specification generation, 13.95% on proof generation, and 5.29% end-to-end. These results identify proof and specification generation as the central bottlenecks for current models and establish VeriContest as a rigorous platform for measuring and training future systems that generate code with machine-checkable correctness.

In the rapidly evolving field of Electronic Design Automation (EDA), the deployment of Large Language Models (LLMs) for Register-Transfer Level (RTL) design has emerged as a promising direction. However, silicon-grade correctness remains bottlenecked by (i) limited test coverage and reliability of simulation-centric evaluation, (ii) regressions and repair hallucinations introduced by iterative debugging, and (iii) semantic drift as intent is reinterpreted across agent handoffs. In this work, we propose Veri-Sure, a multi-agent framework that establishes a design contract to align agents' intent and uses a patching mechanism guided by static dependency slicing to perform precise, localized repairs. By integrating a multi-branch verification pipeline that combines trace-driven temporal analysis with formal verification consisting of assertion-based checking and Boolean equivalence proofs, Veri-Sure helps improve functional correctness by enriching the simulation-driven debugging loop with localized diagnostic hints. We also introduce VerilogEval-v2-EXT, extending the original benchmark with 53 more industrial-grade design tasks and stratified difficulty levels, and show that Veri-Sure achieves state-of-the-art verified-correct RTL code generation performance, surpassing standalone LLMs and prior agentic systems. Code and dataset are available at https://anonymous.4open.science/r/Veri-Sure-D861.

Unifying visual perception and generation poses a fundamental dichotomy: perception extracts semantics but discards details, while generation synthesizes fine-grained structures. Thus, existing works rely on decoupled architectures, as forcing these opposing information flows into one network inevitably triggers task interference and representation collapse. To break this bottleneck, we introduce the Visual Unified Model (VUM), a native framework that unifies both capabilities within a single architecture. Our key insight is that visual perception and generation can be unified by re-envisioning Masked Image Modeling and Diffusion Processes as complementary facets of data recovery. By establishing a shared degradation space that integrates both masking and noising, VUM optimizes a joint signal recovery objective: simultaneously predicting masked patches and denoising corrupted signals. This objective enforces the dual internalization of semantic abstraction and generative synthesis. Using a shared, unified backbone, VUM delivers highly competitive performance across a diverse spectrum of tasks, encompassing image generation, visual recognition and dense prediction tasks. Codes and pretrained checkpoints will be made publicly available.

Learning from past experience requires forming abstractions that can be reused in future problems. Recent work on agentic-memory systems has explored a practical route to continuously improving LLM agents after deployment without parameter updates: a textual abstraction is derived from each history and stored in memory, then continuously updated with more interactions. Yet we show that such textual abstractions produced by today's LLMs are often faulty, even when derived from useful experiences. Over time, the memory becomes less useful and even harmful. More surprisingly, even when abstracting from ground-truth solutions, GPT-5.4 fails on 54% of a set of ARC-AGI problems it had previously solved without memory. We attribute this to the iterative update process: the same trajectories yield qualitatively different memories under different update schedules, while an episodic-only control over those trajectories remains competitive with the consolidators we test---pinning the failure on the consolidation step, not the underlying experience. In our ARC-AGI Stream environment designed to trace memory consolidation behavior, when agents are given additional actions, they tend to keep episodic memory and double the accuracy of their forced-consolidation counterparts; removing consolidation entirely (episodic management only) matches this auto mode. These results suggest that current LLMs should not recursively rewrite their own experience into stable long-term knowledge. Robust agent memory should treat raw episodes as first-class evidence and make abstraction selective, delayed, and explicitly gated rather than mandatory after every interaction.

In this work, we focus on extending SHARP, the popular photorealistic view synthesis method, for universal monocular rendering across diverse camera systems, such as large-field-of-view fisheye lenses. To overcome the pinhole-specific assumptions of SHARP, our key idea is to align various images in a unified omnidirectional latent space. Thus, we propose UniSHARP, which performs implicit alignment in both feature and Gaussian spaces. Specifically, 2D semantic embeddings and 3D spatial features are jointly encoded and decoded by UniK3D to support Gaussian construction, while a ray-based universal representation organizes Gaussian primitives along rays and radial distances. To comprehensively evaluate our method, we construct a benchmark covering diverse imaging systems, including pinhole, fisheye and panoramic cameras, across various scenes. The benchmark is further stratified by field of view, spanning narrow perspective, wide-FoV, fisheye, and full panoramic settings. Extensive experiments on the proposed benchmark demonstrate the effectiveness of UniSHARP, outperforming alternative methods by a large margin. Our models, training code, and dataset will be publicly available.

Unified multimodal models (UMMs) aim to integrate understanding and generation within a single architecture. However, it remains underexplored how to effectively coordinate these two capabilities for more effective and efficient reasoning. Existing coordination approaches either perform coupling during training, without explicit inference-time coordination, or impose a fixed coordination pattern for all inputs. In this work, we show that multimodal tasks exhibit substantial coordination-path diversity: different inputs favor different coordination paths. This suggests that exploiting such diversity is key to improving performance. We propose UniPath, a framework for adaptively modeling and exploiting coordination-path diversity. Instead of enforcing a single coordination pattern, we represent task solving as the selection and execution of a path, ranging from direct answering to textual inference, visual-thought construction, and hypothesis-based exploration. We construct role-aligned trajectories to train a path-conditioned executor and introduce a lightweight planner mechanism to enable input-dependent path selection. Experiments show that leveraging coordination-path diversity improves performance over fixed coordination strategies while providing interpretable intermediate behaviors. The code is available at: https://anonymous.4open.science/r/UniPath.

Current video-to-4D methods struggle with complex topology changes, transparent materials, thin structures, and inner surfaces. We present Trellis4D, a dynamic mesh generation framework by inheriting the expressive representation of Trellis2, adapting it from image-to-3D to video-conditioned 4D generation. Our design arises from two key questions: (a) how to enable Trellis2's frame-local attention to share information across frames while preserving its pretrained quality on rare cases such as transparent objects and inner surfaces, and (b) how to inject temporal information into a purely 3D positional encoding without breaking pretrained capabilities. We address (a) with a sliding-window cross-frame attention and anchor on the first frame. The first frame is generated by the base Trellis2 model and injected into our model, letting it inherit Trellis2's quality in rare cases through cross-frame attention. We address (b) with a 4D temporal encoding that repurposes redundant low-frequency spatial RoPE bands for time, extending the encoding from 3D with no additional parameters. Extensive experiments show the effectiveness of Trellis4D for high-quality dynamic mesh generation on ActionBench and our own challenging complex dynamics set.