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The differentiable implementation of logic yields a seamless combination of symbolic reasoning and deep neural networks. Recent research, which has developed a differentiable framework to learn logic programs from examples, can even acquire…

Artificial Intelligence · Computer Science 2021-03-03 Hikaru Shindo , Masaaki Nishino , Akihiro Yamamoto

This paper presents a proof system for reasoning about execution time bounds for a core imperative programming language. Proof systems are defined for three different scenarios: approximations of the worst-case execution time, exact time…

Programming Languages · Computer Science 2022-10-28 Ana Carolina Silva , Manuel Barbosa , Mario Florido

The demonstrated code-understanding capability of LLMs raises the question of whether they can be used for automated program verification, a task that demands high-level abstract reasoning about program properties that is challenging for…

Formal Languages and Automata Theory · Computer Science 2024-04-26 Haoze Wu , Clark Barrett , Nina Narodytska

Concurrent systems are notoriously difficult to analyze, and technological advances such as weak memory architectures greatly compound this problem. This has renewed interest in partial order semantics as a theoretical foundation for formal…

Logic in Computer Science · Computer Science 2015-04-02 Alex Horn , Daniel Kroening

Verifying fine-grained optimistic concurrent programs remains an open problem. Modern program logics provide abstraction mechanisms and compositional reasoning principles to deal with the inherent complexity. However, their use is mostly…

Programming Languages · Computer Science 2022-11-14 Roland Meyer , Thomas Wies , Sebastian Wolff

While LLM-based agents are able to tackle a wide variety of code reasoning questions, the answers are not always correct. This prevents the agent from being useful in situations where high precision is desired: (1) helping a software…

Software Engineering · Computer Science 2025-11-17 Meghana Sistla , Gogul Balakrishnan , Pat Rondon , José Cambronero , Michele Tufano , Satish Chandra

We present a novel and well automatable approach to formal verification of C programs with underspecified semantics, i.e., a language semantics that leaves open the order of certain evaluations. First, we reduce this problem to…

Programming Languages · Computer Science 2022-08-10 Eduard Kamburjan , Nathan Wasser

We argue that verification of recursive programs by means of the assertional method of C.A.R. Hoare can be conceptually simplified using a modular reasoning. In this approach some properties of the program are established first and…

Logic in Computer Science · Computer Science 2009-07-27 Krzysztof R. Apt , Frank S. de Boer , Ernst-Rüdiger Olderog

The correctness of many algorithms and data structures depends on reachability properties, that is, on the existence of chains of references between objects in the heap. Reasoning about reachability is difficult for two main reasons. First,…

Programming Languages · Computer Science 2019-08-19 Arshavir Ter-Gabrielyan , Alexander J. Summers , Peter Müller

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-06-03 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

The work reported here introduces Defeasible Logic Programming (DeLP), a formalism that combines results of Logic Programming and Defeasible Argumentation. DeLP provides the possibility of representing information in the form of weak rules…

Artificial Intelligence · Computer Science 2007-05-23 Alejandro Javier Garcia , Guillermo Ricardo Simari

Common programming tools, like compilers, debuggers, and IDEs, crucially rely on the ability to analyse program code to reason about its behaviour and properties. There has been a great deal of work on verifying compilers and static…

Programming Languages · Computer Science 2019-07-15 Jan Stolarek , James Cheney

With the progress in deductive program verification research, new tools and techniques have become available to support design-by-contract reasoning about non-trivial programs written in widely-used programming languages. However, deductive…

Programming Languages · Computer Science 2021-07-14 Marieke Huisman , Raúl E. Monti

We develop the first (to the best of our knowledge) provably correct neural networks for a precise computational task, with the proof of correctness generated by an automated verification algorithm without any human input. Prior work on…

Machine Learning · Computer Science 2024-05-09 Rudy Bunel , Krishnamurthy Dvijotham , M. Pawan Kumar , Alessandro De Palma , Robert Stanforth

Memory corruption is a serious class of software vulnerabilities, which requires careful attention to be detected and removed from applications before getting exploited and harming the system users. Symbolic execution is a well-known method…

Cryptography and Security · Computer Science 2025-09-16 Sara Baradaran , Mahdi Heidari , Ali Kamali , Maryam Mouzarani

OCaml is particularly well-fitted for formal verification. On one hand, it is a multi-paradigm language with a well-defined semantics, allowing one to write clean, concise, type-safe, and efficient code. On the other hand, it is a language…

Logic in Computer Science · Computer Science 2021-09-07 Mário Pereira , António Ravara

In permission logics such as separation logic, the iterated separating conjunction is a quantifier denoting access permission to an unbounded set of heap locations. In contrast to recursive predicates, iterated separating conjunctions do…

Programming Languages · Computer Science 2016-05-09 Peter Müller , Malte Schwerhoff , Alexander J. Summers

Deductive verification has become a mature paradigm for the verification of industrial software. Applying deductive verification, however, requires that every function in the code base is annotated with a function contract specifying its…

Logic in Computer Science · Computer Science 2025-01-22 Jesper Amilon , Dilian Gurov , Christian Lidström , Mattias Nyberg , Gustav Ung , Ola Wingbrant

Lighthouse projects such as CompCert, seL4, IronFleet, and DeepSpec have demonstrated that full verification of entire systems is feasible by establishing a refinement relation between an abstract system specification and an executable…

Logic in Computer Science · Computer Science 2020-10-13 Christoph Sprenger , Tobias Klenze , Marco Eilers , Felix A. Wolf , Peter Müller , Martin Clochard , David Basin

We present a tool for verification of deterministic programs with shared mutable references against specifications such as assertions, preconditions, postconditions, and read/write effects. We implement our tool by encoding programs with…

Logic in Computer Science · Computer Science 2021-03-16 Georg Schmid , Viktor Kunčak