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With recent algorithmic improvements and easy-to-use libraries, equality saturation is being picked up for hardware design, program synthesis, theorem proving, program optimization, and more. Existing work on using equality saturation for…

Programming Languages · Computer Science 2025-05-16 Jules Merckx , Alexandre Lopoukhine , Samuel Coward , Jianyi Cheng , Bjorn De Sutter , Tobias Grosser

We present egglog, a fixpoint reasoning system that unifies Datalog and equality saturation (EqSat). Like Datalog, it supports efficient incremental execution, cooperating analyses, and lattice-based reasoning. Like EqSat, it supports term…

Programming Languages · Computer Science 2023-05-17 Yihong Zhang , Yisu Remy Wang , Oliver Flatt , David Cao , Philip Zucker , Eli Rosenthal , Zachary Tatlock , Max Willsey

Recent algorithmic advances have made equality saturation an appealing approach to program optimization because it avoids the phase-ordering problem. Existing work uses external equality saturation libraries, or custom implementations that…

Programming Languages · Computer Science 2026-02-19 Jules Merckx , Alexandre Lopoukhine , Samuel Coward , Jianyi Cheng , Bjorn De Sutter , Tobias Grosser

One critical issue with large language models (LLMs) is their inability to guarantee correctness. Although this problem can be addressed by applying LLMs to formal rewrite systems, current LLMs are still far from adequate to generate sound…

Programming Languages · Computer Science 2025-11-04 Wentao Peng , Ruyi Ji , Yingfei Xiong

An e-graph efficiently represents a congruence relation over many expressions. Although they were originally developed in the late 1970s for use in automated theorem provers, a more recent technique known as equality saturation repurposes…

Programming Languages · Computer Science 2021-01-08 Max Willsey , Chandrakana Nandi , Yisu Remy Wang , Oliver Flatt , Zachary Tatlock , Pavel Panchekha

Generating high-performance code for diverse hardware and application domains is challenging. Functional array programming languages with patterns like map and reduce have been successfully combined with term rewriting to define and explore…

Programming Languages · Computer Science 2022-06-06 Thomas Koehler , Phil Trinder , Michel Steuwer

In technology mapping, the quality of the final implementation heavily relies on the circuit structure after technology-independent optimization. Recent studies have introduced equality saturation as a novel optimization approach. However,…

Hardware Architecture · Computer Science 2025-04-22 Chen Chen , Guangyu HU , Cunxi Yu , Yuzhe Ma , Hongce Zhang

Large Language Models (LLMs) have demonstrated impressive capabilities in language generation and general task performance. However, their application to spoken language understanding (SLU) remains challenging, particularly for token-level…

Computation and Language · Computer Science 2025-10-09 Shangjian Yin , Peijie Huang , Jiatian Chen , Haojing Huang , Yuhong Xu

Many compilers, synthesizers, and theorem provers rely on rewrite rules to simplify expressions or prove equivalences. Developing rewrite rules can be difficult: rules may be subtly incorrect, profitable rules are easy to miss, and rulesets…

Programming Languages · Computer Science 2021-08-25 Chandrakana Nandi , Max Willsey , Amy Zhu , Yisu Remy Wang , Brett Saiki , Adam Anderson , Adriana Schulz , Dan Grossman , Zachary Tatlock

SQL query rewriting aims to reformulate a query into a more efficient form while preserving equivalence. Most existing methods rely on predefined rewrite rules. However, such rule-based approaches face fundamental limitations: (1) fixed…

Databases · Computer Science 2025-08-18 Dongjie Xu , Yue Cui , Weijie Shi , Qingzhi Ma , Hanghui Guo , Jiaming Li , Yao Zhao , Ruiyuan Zhang , Shimin Di , Jia Zhu , Kai Zheng , Jiajie Xu

Large language models (LLMs) have shown impressive performance on general-purpose tasks, yet adapting them to specific domains remains challenging due to the scarcity of high-quality domain data. Existing data synthesis tools often struggle…

Computation and Language · Computer Science 2025-07-08 Ziyang Miao , Qiyu Sun , Jingyuan Wang , Yuchen Gong , Yaowei Zheng , Shiqi Li , Richong Zhang

Being able to effectively read scientific plots, or chart understanding, is a central part toward building effective agents for science. However, existing multimodal large language models (MLLMs), especially open-source ones, are still…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Yuwei Yang , Zeyu Zhang , Yunzhong Hou , Zhuowan Li , Gaowen Liu , Ali Payani , Yuan-Sen Ting , Liang Zheng

Large Language Models (LLMs) have redefined complex task automation with exceptional generalization capabilities. Despite these advancements, state-of-the-art methods rely on single-strategy prompting, missing the synergy of diverse…

Artificial Intelligence · Computer Science 2026-02-13 Nikhil Verma , Manasa Bharadwaj , Wonjun Jang , Harmanpreet Singh , Yixiao Wang , Homa Fashandi , Chul Lee

We introduce the third major version of Metatheory.jl, a Julia library for general-purpose metaprogramming and symbolic computation. Metatheory.jl provides a flexible and performant implementation of e-graphs and Equality Saturation (EqSat)…

Programming Languages · Computer Science 2024-06-04 Alessandro Cheli , Niklas Heim

Large language models (LLMs) have demonstrated remarkable in-context learning capabilities across diverse applications. In this work, we explore the effectiveness of LLMs for generating realistic synthetic tabular data, identifying key…

Machine Learning · Computer Science 2025-01-15 Jinhee Kim , Taesung Kim , Jaegul Choo

Designing effective control policies for autonomous systems remains a fundamental challenge, traditionally addressed through reinforcement learning or manual engineering. While reinforcement learning has achieved remarkable success, it…

Artificial Intelligence · Computer Science 2026-01-13 Ping Guo , Chao Li , Yinglan Feng , Chaoning Zhang

Most efforts to improve the reasoning capabilities of large language models (LLMs) involve either scaling the number of parameters and the size of training data, or scaling inference computation by letting models generate complex chains of…

Machine Learning · Computer Science 2025-10-10 Yeskendir Koishekenov , Aldo Lipani , Nicola Cancedda

Adapting large language models (LLMs) to a targeted task efficiently and effectively remains a fundamental challenge. Such adaptation often requires iteratively improving the model toward a targeted task, yet collecting high-quality…

Computation and Language · Computer Science 2026-04-30 Ting-Wei Li , Sirui Chen , Jiaru Zou , Yingbing Huang , Tianxin Wei , Jingrui He , Hanghang Tong

Rich textual and topological information of textual graphs need to be modeled in real-world applications such as webpages, e-commerce, and academic articles. Practitioners have been long following the path of adopting a shallow text encoder…

Computation and Language · Computer Science 2024-07-25 Yun Zhu , Yaoke Wang , Haizhou Shi , Siliang Tang

State-of-the-art hardware compilers for FPGAs often fail to find efficient mappings of high-level designs to low-level primitives, especially complex programmable primitives like digital signal processors (DSPs). New approaches apply…

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