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Symbolic regression is a type of discrete optimization problem that involves searching expressions that fit given data points. In many cases, other mathematical constraints about the unknown expression not only provide more information…

Machine Learning · Computer Science 2021-02-16 Li Li , Minjie Fan , Rishabh Singh , Patrick Riley

Symbolic execution is a powerful verification tool for hardware designs, but suffers from the path explosion problem. We introduce a new approach, piecewise composition, which leverages the modular structure of hardware to transfer the work…

Cryptography and Security · Computer Science 2023-04-13 Kaki Ryan , Cynthia Sturton

We present a new approach to automated reasoning about higher-order programs by extending symbolic execution to use behavioral contracts as symbolic values, enabling symbolic approximation of higher-order behavior. Our approach is based on…

Programming Languages · Computer Science 2012-04-27 Sam Tobin-Hochstadt , David Van Horn

We present a method of automatically synthesizing steps to solve search problems. Given a specification of a search problem, our approach uses symbolic execution to analyze the specification in order to extract a set of constraints which…

Logic in Computer Science · Computer Science 2020-09-24 Mara Downing , Abtin Molavi , Lucas Bang

Hybrid systems exhibit both continuous and discrete behavior. Analyzing hybrid systems is known to be hard. Inspired by the idea of concolic testing (of programs), we investigate whether we can combine random sampling and symbolic execution…

Software Engineering · Computer Science 2016-09-01 Pingfan Kong , Yi Li , Xiaohong Chen , Jun Sun , Meng Sun , Jingyi Wang

We present a new approach to automated reasoning about higher-order programs by endowing symbolic execution with a notion of higher-order, symbolic values. Our approach is sound and relatively complete with respect to a first-order solver…

Programming Languages · Computer Science 2016-03-22 Phuc C. Nguyen , Sam Tobin-Hochstadt , David Van Horn

We present a symbolic-execution-based algorithm that for a given program and a given program location produces a nontrivial necessary condition on input values to drive the program execution to the given location. We also propose an…

Software Engineering · Computer Science 2016-12-13 Jan Strejček , Marek Trtík

Symbolic execution is an SMT-based software verification and testing technique. Symbolic execution requires tracking performed computations during software simulation to reason about branches in the software under test. The prevailing…

Software Engineering · Computer Science 2025-05-27 Sören Tempel , Tobias Brandt , Christoph Lüth , Christian Dietrich , Rolf Drechsler

We present SEIF, a methodology that combines static analysis with symbolic execution to verify and explicate information flow paths in a hardware design. SEIF begins with a statically built model of the information flow through a design and…

Cryptography and Security · Computer Science 2023-08-03 Kaki Ryan , Matthew Gregoire , Cynthia Sturton

Automated software verification of concurrent programs is challenging because of exponentially large state spaces with respect to the number of threads and number of events per thread. Verification techniques such as model checking need to…

Programming Languages · Computer Science 2020-04-15 Patrick Metzler , Habib Saissi , Péter Bokor , Neeraj Suri

Symbolic execution is a well established method for test input generation. Despite of having achieved tremendous success over numerical domains, existing symbolic execution techniques for heap-based programs are limited due to the lack of a…

Software Engineering · Computer Science 2019-09-17 Long H. Pham , Quang Loc Le , Quoc-Sang Phan , Jun Sun , Shengchao Qin

Message passing is the standard paradigm of programming in high-performance computing. However, verifying Message Passing Interface (MPI) programs is challenging, due to the complex program features (such as non-determinism and non-blocking…

Programming Languages · Computer Science 2020-01-20 Hengbiao Yu , Zhenbang Chen , Xianjin Fu , Ji Wang , Zhendong Su , Jun Sun , Chun Huang , Wei Dong

This paper focuses on generating test cases from timed symbolic transition systems. At the heart of the generation process are symbolic execution techniques on data and time. Test cases look like finite symbolic trees with verdicts on their…

Formal Languages and Automata Theory · Computer Science 2023-09-14 Boutheina Bannour , Arnault Lapitre , Pascale Le Gall , Thang Nguyen

Analyzing programs with loops is a challenging task, suffering from potential issues such as indeterminate number of iterations and exponential growth of control flow complexity. Loop summarization, as a static analysis method for concrete…

Programming Languages · Computer Science 2024-11-06 Kai Zhu , Chenkai Guo , Kuihao Yan , Xiaoqi Jia , Haichao Du , Qingjia Huang , Yamin Xie , Jing Tang

Large language models (LLMs) have scaled up to unlock a wide range of complex reasoning tasks with the aid of various prompting methods. However, current prompting methods generate natural language intermediate steps to help reasoning,…

Computation and Language · Computer Science 2023-10-10 Yi Hu , Haotong Yang , Zhouchen Lin , Muhan Zhang

Symbolic execution is a program analysis technique executing programs with symbolic instead of concrete inputs. This principle allows for exploring many program paths at once. Despite its wide adoption -- in particular for program testing…

Programming Languages · Computer Science 2023-10-13 Arthur Correnson , Dominic Steinhoefel

Building neural networks to query a knowledge base (a table) with natural language is an emerging research topic in deep learning. An executor for table querying typically requires multiple steps of execution because queries may have…

Machine Learning · Computer Science 2017-06-20 Lili Mou , Zhengdong Lu , Hang Li , Zhi Jin

This paper addresses the Motion Execution Gap, the disconnect between high-level symbolic task descriptions using semantic constraints and executable robot motions. Motion Statecharts are introduced as an executable symbolic representation…

Robotics · Computer Science 2026-05-13 Simon Stelter , Vanessa Hassouna , Malte Huerkamp , Michael Beetz

Symbolic execution has always been plagued by the inability to handle programs that require highly structured inputs. Most often, the symbolic execution engine gets overwhelmed by the sheer number of infeasible paths and fails to explore…

Programming Languages · Computer Science 2021-04-06 Anay Mehrotra , Ayush Bansal , Awanish Pandey , Subhajit Roy

Loop under-approximation is a technique that enriches C programs with additional branches that represent the effect of a (limited) range of loop iterations. While this technique can speed up the detection of bugs significantly, it…

Formal Languages and Automata Theory · Computer Science 2014-10-22 Daniel Kroening , Matt Lewis , Georg Weissenbacher