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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

Verification of higher-order probabilistic programs is a challenging problem. We present a verification method that supports several quantitative properties of higher-order probabilistic programs. Usually, extending verification methods to…

Logic in Computer Science · Computer Science 2024-07-04 Satoshi Kura , Hiroshi Unno

We report on work in progress on automatic procedures for proving properties of programs written in higher-order functional languages. Our approach encodes higher-order programs directly as first-order SMT problems over Horn clauses. It is…

Logic in Computer Science · Computer Science 2013-06-25 Nikolaj Bjorner , Ken McMillan , Andrey Rybalchenko

Bounded model checking (BMC) is vital for finding program property violations. For unsafe programs, BMC can quickly find an execution path from an initial state to the violated state that refutes a given safety property. However, BMC…

Software Engineering · Computer Science 2022-09-22 Mohannad Aldughaim , Kaled Alshmrany , Rafael Menezes , Lucas Cordeiro , Alexandru Stancu

Verification of C++ programs has seen considerable progress in several areas, but not for programs that use these languages' mathematical libraries. The reason is that all libraries in widespread use come with no guarantees about the…

Programming Languages · Computer Science 2022-06-23 Roberto Bagnara , Michele Chiari , Roberta Gori , Abramo Bagnara

There are two kinds of higher-order extensions of model checking: HORS model checking and HFL model checking. Whilst the former has been applied to automated verification of higher-order functional programs, applications of the latter have…

Programming Languages · Computer Science 2018-03-01 Naoki Kobayashi , Takeshi Tsukada , Keiichi Watanabe

Verification problems of programs written in various paradigms (such as imperative, logic, concurrent, functional, and object-oriented ones) can be reduced to problems of solving Horn clause constraints on predicate variables that represent…

Programming Languages · Computer Science 2016-10-24 Hiroshi Unno , Sho Torii

In this report, we present the preliminary work developed for our research project for the APDC (\'Area Pr\'atica de Desenvolvimento Curricular) course. The main goal of this project is to develop a framework, on top of the Why3 tool, for…

Logic in Computer Science · Computer Science 2020-12-02 Tiago Lopes Soares

We argue that the implementation and verification of compilers for functional programming languages are greatly simplified by employing a higher-order representation of syntax known as Higher-Order Abstract Syntax or HOAS. The underlying…

Programming Languages · Computer Science 2017-02-14 Yuting Wang

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

Parallel programs in high performance computing (HPC) continue to grow in complexity and scale in the exascale era. The diversity in hardware and parallel programming models make developing, optimizing, and maintaining parallel software…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-15 Daniel Nichols , Aniruddha Marathe , Harshitha Menon , Todd Gamblin , Abhinav Bhatele

In the last three decades, memory safety issues in system programming languages such as C or C++ have been one of the significant sources of security vulnerabilities. However, there exist only a few attempts with limited success to cope…

Software Engineering · Computer Science 2021-07-05 Felipe R. Monteiro , Mikhail R. Gadelha , Lucas C. Cordeiro

We propose a general framework to allow: (a) specifying the operational semantics of a programming language; and (b) stating and proving properties about program correctness. Our framework is based on a many-sorted system of hybrid modal…

Logic in Computer Science · Computer Science 2025-12-01 Ioana Leustean , Natalia Moanga , Traian Florin Serbanuta

Abstract interpreters are complex pieces of software: even if the abstract interpretation theory and companion algorithms are well understood, their implementations are subject to bugs, that might question the soundness of their…

Programming Languages · Computer Science 2021-10-19 Lucas Franceschino , David Pichardie , Jean-Pierre Talpin

Bounded model checking is among the most efficient techniques for the automatic verification of concurrent programs. However, encoding all possible interleavings often requires a huge and complex formula, which significantly limits the…

Programming Languages · Computer Science 2018-04-04 Liangze Yin , Wei Dong , Wanwei Liu , Ji Wang

Modular deductive verification is a powerful technique capable to show that each function in a program satisfies its contract. However, function contracts do not provide a global view of which high-level (e.g. security-related properties of…

Software Engineering · Computer Science 2019-02-26 Virgile Robles , Nikolai Kosmatov , Virgile Prevosto , Louis Rilling , Pascale Le Gall

Programs that manipulate tree-shaped data structures often require complex, specialized proofs that are difficult to generalize and automate. This paper introduces a unified, foundational approach to verifying such programs. Central to our…

Programming Languages · Computer Science 2025-05-21 Marco Faella , Gennaro Parlato

Variational inference lies at the core of many state-of-the-art algorithms. To improve the approximation of the posterior beyond parametric families, it was proposed to include MCMC steps into the variational lower bound. In this work we…

Machine Learning · Statistics 2016-09-28 Christopher Wolf , Maximilian Karl , Patrick van der Smagt

We present a method for automatic inference of conditions on the initial states of a program that guarantee that the safety assertions in the program are not violated. Constrained Horn clauses (CHCs) are used to model the program and…

Logic in Computer Science · Computer Science 2018-04-18 Bishoksan Kafle , John P. Gallagher , Graeme Gange , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

The effectiveness of concolic testing deteriorates as the size of programs increases. A promising way out is to test programs modularly, e.g., on a per function or class basis. Alas, this idea hits a roadblock in modern programming…

Programming Languages · Computer Science 2020-06-23 Shu-Hung You , Robert Bruce Findler , Christos Dimoulas
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