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Automated synthesis of inductive invariants is an important problem in software verification. Once all the invariants have been specified, software verification reduces to checking of verification conditions. Although static analyses to…

Machine Learning · Computer Science 2020-07-17 Sahil Bhatia , Saswat Padhi , Nagarajan Natarajan , Rahul Sharma , Prateek Jain

We study discrete probabilistic programs with potentially unbounded looping behaviors over an infinite state space. We present, to the best of our knowledge, the first decidability result for the problem of determining whether such a…

Logic in Computer Science · Computer Science 2022-06-22 Mingshuai Chen , Joost-Pieter Katoen , Lutz Klinkenberg , Tobias Winkler

Linear logic is a substructural logic proposed as a refinement of classical and intuitionistic logics, with applications in programming languages, game semantics, and quantum physics. We present a template for Gentzen-style linear logic…

Logic in Computer Science · Computer Science 2023-09-26 Alen Docef , Radu Negulescu , Mihai Prunescu

Conventionally, high-throughput computational materials searches start from an input set of bulk compounds extracted from material databases, and this set is screened for candidate materials for specific applications. In contrast, many…

Materials Science · Physics 2023-04-11 Rachel Woods-Robinson , Matthew K. Horton , Kristin A. Persson

We study induction on the program structure as a proof method for bisimulation-based compiler correctness. We consider a first-order language with mutually recursive function definitions, system calls, and an environment semantics. The…

Programming Languages · Computer Science 2016-11-30 Sigurd Schneider , Gert Smolka , Sebastian Hack

Runtime Monitoring is a lightweight and dynamic verification technique that involves observing the internal operations of a software system and/or its interactions with other external entities, with the aim of determining whether the system…

Logic in Computer Science · Computer Science 2017-08-25 Ian Cassar , Adrian Francalanza , Luca Aceto , Anna Ingólfsdóttir

Process supervision, using a trained verifier to evaluate the intermediate steps generated by a reasoner, has demonstrated significant improvements in multi-step problem solving. In this paper, to avoid the expensive effort of human…

Artificial Intelligence · Computer Science 2024-10-16 Zihan Wang , Yunxuan Li , Yuexin Wu , Liangchen Luo , Le Hou , Hongkun Yu , Jingbo Shang

Quantization replaces floating point arithmetic with integer arithmetic in deep neural network models, providing more efficient on-device inference with less power and memory. In this work, we propose a framework for formally verifying…

Machine Learning · Computer Science 2023-12-29 Pei Huang , Haoze Wu , Yuting Yang , Ieva Daukantas , Min Wu , Yedi Zhang , Clark Barrett

We over-approximate reachability sets in string rewriting by languages defined by admissible factors, called tiles. A sparse set of tiles contains only those that are reachable in derivations, and is constructed by completing an automaton.…

Logic in Computer Science · Computer Science 2020-03-04 Alfons Geser , Dieter Hofbauer , Johannes Waldmann

Designing quantum processors is a complex task that demands advanced verification methods to ensure their correct functionality. However, traditional methods of comprehensively verifying quantum devices, such as quantum process tomography,…

Quantum Physics · Physics 2025-08-04 Keren Li , Peng Yan , Hanru Jiang , Nengkun Yu

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We…

Logic in Computer Science · Computer Science 2015-07-15 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

A code clone is a pair of code fragments, within or between software systems that are similar. Since code clones often negatively impact the maintainability of a software system, several code clone detection techniques and tools have been…

Software Engineering · Computer Science 2020-05-05 Golam Mostaeen , Banani Roy , Chanchal Roy , Kevin Schneider , Jeffrey Svajlenko

We investigate the problem of safety verification of infinite-state parameterized programs that are formed based on a rich class of topologies. We introduce a new proof system, called parametric proof spaces, which exploits the underlying…

Logic in Computer Science · Computer Science 2026-01-27 Ruotong Cheng , Azadeh Farzan

The current verification flow of complex systems uses different engines synergistically: virtual prototyping, formal verification, simulation, emulation and FPGA prototyping. However, none is able to verify a complete architecture.…

Logic in Computer Science · Computer Science 2018-02-12 Tomas Grimm , Djones Lettnin , Michael Hübner

Most modern (classical) programming languages support recursion. Recursion has also been successfully applied to the design of several quantum algorithms and introduced in a couple of quantum programming languages. So, it can be expected…

Logic in Computer Science · Computer Science 2021-07-27 Zhaowei Xu , Mingsheng Ying , Benoît Valiron

Data visualizations typically show retrospective views of an existing dataset with little or no focus on repeatability. However, consumers of these tools often use insights gleaned from retrospective visualizations as the basis for…

Human-Computer Interaction · Computer Science 2019-11-13 David Gotz , Brandon A. Price , Annie T. Chen

Equation-based modelling is a powerful approach to tame the complexity of large-scale simulation problems. Equation-based tools automatically translate models into imperative languages. When confronted with nowadays' problems, however, well…

Unifying theories distil common features of programming languages and design methods by means of algebraic operators and their laws. Several practical concerns --- e.g., improvement of a program, conformance of code with design, correctness…

Logic in Computer Science · Computer Science 2019-07-26 David A. Naumann , Minh Ngo

Refinement types enrich a language's type system with logical predicates that circumscribe the set of values described by the type, thereby providing software developers a tunable knob with which to inform the type system about what…

Programming Languages · Computer Science 2020-10-16 Ranjit Jhala , Niki Vazou

Hoare-style verification provides a principled foundation for reasoning about the correctness of quantum programs, but existing approaches do not allow fully automatic verification. While automata-based verification scales well when…

Logic in Computer Science · Computer Science 2026-05-08 Wei-Lun Tsai , Yu-Fang Chen , Ondřej Lengál
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