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We have developed a symbolic algebra approach to automatically produce, verify, and optimize computer code for the Fast Multipole Method (FMM) operators. This approach allows for flexibility in choosing a basis set and kernel, and can…

Computational Physics · Physics 2020-05-29 Jonathan P. Coles , Rebekka Bieri

Comparing relational languages by their logical expressiveness is well understood. Less well understood is how to compare relational languages by their ability to represent relational query patterns. Indeed, what are query patterns other…

Databases · Computer Science 2024-01-11 Wolfgang Gatterbauer , Cody Dunne

Data oriented applications, usually written in a high-level, general-purpose programming language (such as Java) interact with database through a coarse interface. Informally, the text of a query is built on the application side (either via…

Programming Languages · Computer Science 2016-07-15 Romain Vernoux

Conventional tools for formal hardware/software co-verification use bounded model checking techniques to construct a single monolithic propositional formula. Formulas generated in this way are extremely complex and contain a great deal of…

Formal Languages and Automata Theory · Computer Science 2020-01-07 Rajdeep Mukherjee , Saurabh Joshi , John O'Leary , Daniel Kroening , Tom Melham

Relational database applications are notoriously difficult to test and debug. Concurrent execution of database transactions may violate complex structural invariants that constraint how changes to the contents of one (shared) table affect…

Programming Languages · Computer Science 2019-08-16 Kia Rahmani , Kartik Nagar , Benjamin Delaware , Suresh Jagannathan

When neural networks are used to solve differential equations, they usually produce solutions in the form of black-box functions that are not directly mathematically interpretable. We introduce a method for generating symbolic expressions…

Machine Learning · Computer Science 2020-11-05 Maysum Panju , Ali Ghodsi

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

In the realm of sound object-oriented program analyses for information-flow control, very few approaches adopt flow-sensitive abstractions of the heap that enable a precise modeling of implicit flows. To tackle this challenge, we advance a…

Programming Languages · Computer Science 2022-11-08 Nicolas Berthier , Narges Khakpour

The goal of this paper is to provide a strong integration between constraint modelling and relational DBMSs. To this end we propose extensions of standard query languages such as relational algebra and SQL, by adding constraint modelling…

Artificial Intelligence · Computer Science 2021-06-02 Marco Cadoli , Toni Mancini

In many modern LLM applications, such as retrieval augmented generation, prompts have become programs themselves. In these settings, prompt programs are repeatedly called with different user queries or data instances. A big practical…

Computation and Language · Computer Science 2024-07-01 Tobias Schnabel , Jennifer Neville

We present the Sum-Product Probabilistic Language (SPPL), a new probabilistic programming language that automatically delivers exact solutions to a broad range of probabilistic inference queries. SPPL translates probabilistic programs into…

Programming Languages · Computer Science 2021-06-14 Feras A. Saad , Martin C. Rinard , Vikash K. Mansinghka

Explicit signaling between threads is a perennial cause of bugs in concurrent programs. While there are several run-time techniques to automatically notify threads upon the availability of some shared resource, such techniques are not…

Programming Languages · Computer Science 2018-04-10 Kostas Ferles , Jacob Van Geffen , Isil Dillig , Yannis Smaragdakis

This thesis presents an automated method for verifying security properties of protocol implementations written in the C language. We assume that each successful run of a protocol follows the same path through the C code, justified by the…

Cryptography and Security · Computer Science 2020-01-06 Mihhail Aizatulin

In the logic programming paradigm, a program is defined by a set of methods, each of which can be executed when specific conditions are met during the current state of an execution. The semantics of these programs can be elegantly…

Logic in Computer Science · Computer Science 2024-10-02 Matteo Acclavio , Roberto Maieli

We propose a symbolic generative task description language and a corresponding inference engine capable of representing arbitrary multimodal tasks as structured symbolic flows. Unlike conventional generative models that rely on large-scale…

Given recent advancements of Large Language Models (LLMs), code generation tasks attract immense attention for wide application in different domains. In an effort to evaluate and select a best model to automatically remediate system…

Computation and Language · Computer Science 2024-12-18 Ngoc Phuoc An Vo , Brent Paulovicks , Vadim Sheinin

In recent years, the surge in unstructured data analysis, facilitated by advancements in Machine Learning (ML), has prompted diverse approaches for handling images, text documents, and videos. Analysts, leveraging ML models, can extract…

Databases · Computer Science 2024-04-08 Akash Mittal , Anshul Bheemreddy , Huili Tao

A Script Language in this paper is designed to transform the original data into the target data by the computing formula. The Script Language can be translated into the corresponding SQL Language, and the computation is finally implemented…

Databases · Computer Science 2007-05-23 Qingguo Zheng

Recent advances in large language models (LLMs) have enabled the automatic generation of executable code for task planning and control in embodied agents such as robots, demonstrating the potential of LLM-based embodied intelligence.…

Artificial Intelligence · Computer Science 2025-10-27 Sanghyun Ahn , Wonje Choi , Junyong Lee , Jinwoo Park , Honguk Woo

Structured Query Language (SQL) has remained the standard query language for databases. SQL is highly optimized for processing structured data laid out in relations. Meanwhile, in the present application development landscape, it is highly…

Databases · Computer Science 2026-04-24 Udesh Kumarasinghe , Tyler Liu , Ahmed R. Mahmood , Chunwei Liu , Walid G. Aref