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Related papers: SymInfer: Inferring Program Invariants using Symbo…

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Probabilistic programming is the idea of writing models from statistics and machine learning using program notations and reasoning about these models using generic inference engines. Recently its combination with deep learning has been…

Programming Languages · Computer Science 2019-11-19 Wonyeol Lee , Hangyeol Yu , Xavier Rival , Hongseok Yang

One of the obstacles in automatic program proving is to obtain suitable loop invariants. The invariant of a loop is a weakened form of its postcondition (the loop's goal, also known as its contract); the present work takes advantage of this…

Software Engineering · Computer Science 2013-08-14 Carlo A. Furia , Bertrand Meyer

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

Program behavior may depend on parameters, which are either configured before compilation time, or provided at run-time, e.g., by sensors or other input devices. Parametric program analysis explores how different parameter settings may…

Programming Languages · Computer Science 2014-06-23 Thomas M. Gawlitza , Martin D. Schwarz , Helmut Seidl

In this paper we use pre existing language support for type modifiers and object capabilities to enable a system for sound runtime verification of invariants. Our system guarantees that class invariants hold for all objects involved in…

Programming Languages · Computer Science 2019-02-28 Isaac Oscar Gariano , Marco Servetto , Alex Potanin

We introduce MORA, an automated tool for generating invariants of probabilistic programs. Inputs to MORA are so-called Prob-solvable loops, that is probabilistic programs with polynomial assignments over random variables and parametrized…

Formal Languages and Automata Theory · Computer Science 2021-03-09 Ezio Bartocci , Laura Kovacs , Miroslav Stankovic

Nowadays, as machine-learned software quickly permeates our society, we are becoming increasingly vulnerable to programming errors in the data pre-processing or training software, as well as errors in the data itself. In this paper, we…

Programming Languages · Computer Science 2020-07-22 Caterina Urban

We can, and should, do statistical inference on simulation models by adjusting the parameters in the simulation so that the values of {\em randomly chosen} functions of the simulation output match the values of those same functions…

Methodology · Statistics 2021-11-18 Cosma Rohilla Shalizi

Decidability and synthesis of inductive invariants ranging in a given domain play an important role in many software and hardware verification systems. We consider here inductive invariants belonging to an abstract domain $A$ as defined in…

Programming Languages · Computer Science 2020-07-14 Francesco Ranzato

Simulink is a widely used model-based development environment for embedded systems. Stateflow is a component of Simulink for modeling event-driven control via hierarchical state machines and flow charts. However, Stateflow lacks an official…

Formal Languages and Automata Theory · Computer Science 2022-07-26 Shicheng Yi , Shuling Wang , Bohua Zhan , Naijun Zhan

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

We present SilVer (Silq Verification), an automated tool for verifying behaviors of quantum programs written in Silq, which is a high-level programming language for quantum computing. The goal of the verification is to ensure correctness of…

Quantum Physics · Physics 2024-09-11 Marco Lewis , Paolo Zuliani , Sadegh Soudjani

Symbolic execution uses various algorithms (matching, (anti)unification), whose executions are parameters for proof object generation. This paper proposes a generic method for generating proof objects for such parameters. We present in…

Logic in Computer Science · Computer Science 2022-09-22 Andrei Arusoaie , Dorel Lucanu

Distributed protocols are notoriously difficult to verify correctly. Proving safety typically requires inductive invariants that both imply the desired property and are preserved by every protocol transition; yet inferring such invariants…

Software Engineering · Computer Science 2026-05-26 Weining Cao , Guangyuan Wu , Yuan Yao , Hengfeng Wei , Taolue Chen , Xiaoxing Ma

Automatic verification of array manipulating programs is a challenging problem because it often amounts to the inference of in ductive quantified loop invariants which, in some cases, may not even be firstorder expressible. In this paper,…

Programming Languages · Computer Science 2021-06-03 Oren Ish Shalom , Shachar Itzhaky , Noam Rinetzky , Sharon Shoham

Parameterized systems play a crucial role in the computer field, and their security is of great significance. Formal verification of parameterized protocols is especially challenging due to its "parameterized" feature, which brings…

Logic in Computer Science · Computer Science 2025-03-25 Jiaqi Xiu , Yongjian Li

Theoretical foundations of compositional reasoning about heaps in imperative programming languages are investigated. We introduce a novel concept of compositional symbolic memory and its relevant properties. We utilize these formal…

Programming Languages · Computer Science 2019-06-27 Yurii Kostyukov , Konstantin Batoev , Dmitry Mordvinov , Michael Kostitsyn , Aleksandr Misonizhnik

Symbolic regression (SR) seeks to recover closed-form mathematical expressions that describe observed data. While existing methods have advanced the discovery of either explicit mappings (i.e., $y = f(\mathbf{x})$) or discovering implicit…

Machine Learning · Computer Science 2025-08-20 Michael Scherk , Boyuan Chen

Cyber-Physical Systems (CPS) pose new challenges to verification and validation that go beyond the proof of functional correctness based on high-level models. Particular challenges are, in particular for formal methods, its heterogeneity…

Software Engineering · Computer Science 2017-05-02 Carna Radojicic , Christoph Grimm , Axel Jantsch , Michael Rathmair

The discovery of inductive invariants lies at the heart of static program verification. Presently, many automatic solutions to inductive invariant generation are inflexible, only applicable to certain classes of programs, or unpredictable.…

Software Engineering · Computer Science 2017-06-16 Adam Betts , Nathan Chong , Pantazis Deligiannis , Alastair F. Donaldson , Jeroen Ketema