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Loop invariants are fundamental to reasoning about programs with loops. They establish properties about a given loop's behavior. When they additionally are inductive, they become useful for the task of formal verification that seeks to…

Many security and software testing applications require checking whether certain properties of a program hold for any possible usage scenario. For instance, a tool for identifying software vulnerabilities may need to rule out the existence…

Software Engineering · Computer Science 2018-05-03 Roberto Baldoni , Emilio Coppa , Daniele Cono D'Elia , Camil Demetrescu , Irene Finocchi

Automatically generating formal specifications including loop invariants, preconditions, and postconditions for legacy code is critical for program understanding, reuse and verification. However, the inherent complexity of control and data…

Software Engineering · Computer Science 2026-01-21 Fanpeng Yang , Xu Ma , Shuling Wang , Xiong Xu , Qinxiang Cao , Naijun Zhan , Xiaofeng Li , Bin Gu

In this paper, we introduce an interactive simulator for programs in the form of LLVM bitcode. The main features of the simulator include precise control over thread scheduling, automatic checkpoints and reverse stepping, support for…

Software Engineering · Computer Science 2019-07-10 Petr Ročkai , Jiří Barnat

Symbolic Machine Learning Prover (SMLP) is a tool and a library for system exploration based on data samples obtained by simulating or executing the system on a number of input vectors. SMLP aims at exploring the system based on this data…

Machine Learning · Computer Science 2024-02-05 Franz Brauße , Zurab Khasidashvili , Konstantin Korovin

A symbolic method for solving linear recurrences of combinatorial and statistical interest is introduced. This method essentially relies on a representation of polynomial sequences as moments of a symbol that looks as the framework of a…

Combinatorics · Mathematics 2021-01-22 E. Di Nardo , D. Senato

Obfuscation poses a persistent challenge for software engineering tasks such as program comprehension, maintenance, testing, and vulnerability detection. While compiler optimizations and third-party code often introduce transformations that…

Software Engineering · Computer Science 2025-11-25 Rong Feng , Suman Saha

Symbolic computation is an important approach in automated program analysis. Most state-of-the-art tools perform symbolic computation as interpreters and directly maintain symbolic data. In this paper, we show that it is feasible, and in…

Programming Languages · Computer Science 2019-07-10 Henrich Lauko , Petr Ročkai , Jiří Barnat

Large Language Models (LLMs) show promise as planners for embodied AI, but their stochastic nature lacks formal reasoning, preventing strict safety guarantees for physical deployment. Current approaches often rely on unreliable LLMs for…

Artificial Intelligence · Computer Science 2026-04-30 Feiyu Wu , Xu Zheng , Yue Qu , Zhuocheng Wang , Zicheng Feng , Hui Li

SMLP: Symbolic Machine Learning Prover an open source tool for exploration and optimization of systems represented by machine learning models. SMLP uses symbolic reasoning for ML model exploration and optimization under verification and…

Machine Learning · Computer Science 2024-05-17 Franz Brauße , Zurab Khasidashvili , Konstantin Korovin

We propose a novel architecture for integrating large language models (LLMs) with a persistent, interactive Lisp environment. This setup enables LLMs to define, invoke, and evolve their own tools through programmatic interaction with a live…

Programming Languages · Computer Science 2025-06-13 Jordi de la Torre

Computer algebra in Java is a promising field of development. It has not yet reached an industrial strength, in part because of a lack of good user interfaces. Using a general purpose scripting language can bring a natural mathematical…

Symbolic Computation · Computer Science 2009-06-15 Raphael Jolly , Heinz Kredel

Designing programming languages that enable intuitive and safe manipulation of data structures is a critical research challenge. Conventional destructive memory operations using pointers are complex and prone to errors. Existing type…

Programming Languages · Computer Science 2026-01-21 Jin Sano , Naoki Yamamoto , Kazunori Ueda

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

Symbolic execution is an important software analysis technique which benefits downstream tasks such as software testing and debugging. However, several limitations hinder symbolic execution from application on real-world software. One of…

Software Engineering · Computer Science 2025-11-25 Wenhan Wang , Kaibo Liu , Zeyu Sun , An Ran Chen , Ge Li , Gang Huang , Lei Ma

We present an algorithm for tests generation tools based on symbolic execution. The algorithm is supposed to help in situations, when a tool is repeatedly failing to cover some code by tests. The algorithm then provides the tool a necessary…

Symbolic Computation · Computer Science 2011-12-21 Marek Trtík

Large language models (LLMs) have reshaped the landscape of program synthesis. However, contemporary LLM-based code completion systems often hallucinate broken code because they lack appropriate context, particularly when working with…

Programming Languages · Computer Science 2024-10-14 Andrew Blinn , Xiang Li , June Hyung Kim , Cyrus Omar

In the past years, a number of static application security testing tools have been proposed which make use of so-called code property graphs, a graph model which keeps rich information about the source code while enabling its user to write…

Software Engineering · Computer Science 2022-12-12 Alexander Küchler , Christian Banse

There is an increasing need for domain-specific reasoning in modern compilers. This has fueled the use of tailored intermediate representations (IRs) based on static single assignment (SSA), like in the MLIR compiler framework. Interactive…

Programming Languages · Computer Science 2024-07-08 Siddharth Bhat , Alex Keizer , Chris Hughes , Andrés Goens , Tobias Grosser

We introduce a new technique for inferring program invariants that uses symbolic states generated by symbolic execution. Symbolic states, which consist of path conditions and constraints on local variables, are a compact description of sets…

Software Engineering · Computer Science 2019-03-29 ThanhVu Nguyen , Matthew B. Dwyer , Willem Visser
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