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Automated reasoners, such as SAT/SMT solvers and first-order provers, are becoming the backbones of rigorous systems engineering, being used for example in applications of system verification, program synthesis, and cybersecurity.…

Logic in Computer Science · Computer Science 2024-12-23 Robin Coutelier , Jakob Rath , Michael Rawson , Armin Biere , Laura Kovács

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

This technical report presents implementation of two symbolic model checking algorithms that use SAT/SMT Solvers, namely interpolation based model checking and k-induction based model checking. We also do a comparative analysis of these two…

Logic in Computer Science · Computer Science 2022-07-05 Tephilla Prince , Atif Abdur Rahman , Sheerazuddin Syed

Scientific software is, by its very nature, complex. It is mathematical and highly optimized which makes it prone to subtle bugs not as easily detected by traditional testing. We outline how symbolic execution can be used to write tests…

Software Engineering · Computer Science 2025-10-16 Alexander C. Wilton

Dynamic Symbolic Execution (DSE) is a key technique in program analysis, widely used in software testing, vulnerability discovery, and formal verification. In distributed AI systems, DSE plays a crucial role in identifying hard-to-detect…

Cryptography and Security · Computer Science 2025-07-08 Ruoxi Wang , Kun Li , Minghui Xu , Yue Zhang , Kaidi Xu , Chunchi Liu , Yinhao Xiao , Xiuzhen Cheng

We present a framework for symbolically executing and model checking higher-order programs with external (open) methods. We focus on the client-library paradigm and in particular we aim to check libraries with respect to any definable…

Programming Languages · Computer Science 2020-02-24 Yu-Yang Lin , Nikos Tzevelekos

State-space exploration is an essential step in many modeling and analysis problems. Its goal is to find the states reachable from the initial state of a discrete-state model described. The state space can used to answer important…

Logic in Computer Science · Computer Science 2009-12-16 Gianfranco Ciardo , Yang Zhao , Xiaoqing Jin

Incremental SAT and QBF solving potentially yields improvements when sequences of related formulas are solved. An incremental application is usually tailored towards some specific solver and decomposes a problem into incremental solver…

Logic in Computer Science · Computer Science 2015-12-04 Uwe Egly , Florian Lonsing , Johannes Oetsch

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

In the multi-agent path finding problem (MAPF) we are given a set of agents each with respective start and goal positions. The task is to find paths for all agents while avoiding collisions aiming to minimize an objective function. Two such…

Artificial Intelligence · Computer Science 2018-12-31 Pavel Surynek

Symbolic execution is a powerful systematic software analysis technique, but suffers from the high cost of constraint solving, which is the key supporting technology that affects the effectiveness of symbolic execution. Techniques like…

Software Engineering · Computer Science 2020-03-19 Junye Wen , Mujahid Khan , Meiru Che , Yan Yan , Guowei Yang

This paper describes a novel unbounded software model checking approach to find errors in programs written in the C language based on incremental SAT-solving. Instead of using the traditional assumption based API to incremental SAT solvers…

Symbolic Computation · Computer Science 2018-02-14 Marko Kleine Büning , Tomas Balyo , Carsten Sinz

In this work, we consider the problem of autonomous exploration in search of targets while respecting a fixed energy budget. The robot is equipped with an incremental-resolution symbolic perception module wherein the perception of targets…

Robotics · Computer Science 2023-09-15 Disha Kamale , Sofie Haesaert , Cristian-Ioan Vasile

Symbolic execution is a key technology in software testing, which generates test cases by collecting symbolic path constraints and then solving constraints with SMT solvers. Symbolic execution has been proven helpful in generating…

Software Engineering · Computer Science 2024-09-17 Wenhan Wang , Kaibo Liu , An Ran Chen , Ge Li , Zhi Jin , Gang Huang , Lei Ma

Symbolic execution is a classic technique for systematic bug finding, which has seen many applications in recent years but remains hard to scale. Recent work introduced ranged symbolic execution to distribute the symbolic execution task…

Software Engineering · Computer Science 2021-06-07 Shikhar Singh , Sarfraz Khurshid

Gradual verification, which supports explicitly partial specifications and verifies them with a combination of static and dynamic checks, makes verification more incremental and provides earlier feedback to developers. While an abstract,…

Programming Languages · Computer Science 2023-11-14 Conrad Zimmerman , Jenna DiVincenzo , Jonathan Aldrich

Sampling multiple candidate programs at inference time is an effective way to improve LLM code generation. However, its benefit depends on reliably selecting a correct solution from the generated pool. We observe that this selection problem…

Machine Learning · Computer Science 2026-05-13 David Cho , Yifan Wang , Fanping Sui , Ananth Grama

Many machine learning strategies designed to automate mathematical tasks leverage neural networks to search large combinatorial spaces of mathematical symbols. In contrast to traditional evolutionary approaches, using a neural network at…

We present the first correct-by-construction learning-based system for step-by-step mathematical integration. The key idea is to learn a policy, represented by a GPT transformer model, which guides the search for the right mathematical…

Machine Learning · Computer Science 2024-10-04 Mert Ünsal , Timon Gehr , Martin Vechev

Solving mathematical reasoning problems requires not only accurate access to relevant knowledge but also careful, multi-step thinking. However, current retrieval-augmented models often rely on a single perspective, follow inflexible search…

Artificial Intelligence · Computer Science 2025-11-03 Ali Asgarov , Umid Suleymanov , Aadyant Khatri