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How to apply automated verification technology such as model checking and static program analysis to millions of lines of embedded C/C++ code? How to package this technology in a way that it can be used by software developers and engineers,…

Software Engineering · Computer Science 2013-01-03 Ralf Huuck

Proof-oriented programs mix computational content with proofs of program correctness. However, the human effort involved in programming and proving is still substantial, despite the use of Satisfiability Modulo Theories (SMT) solvers to…

Programming Languages · Computer Science 2024-09-06 Saikat Chakraborty , Gabriel Ebner , Siddharth Bhat , Sarah Fakhoury , Sakina Fatima , Shuvendu Lahiri , Nikhil Swamy

Being able to automatically repair programs is an extremely challenging task. In this paper, we present MintHint, a novel technique for program repair that is a departure from most of today's approaches. Instead of trying to fully automate…

Software Engineering · Computer Science 2013-09-17 Shalini Kaleeswaran , Varun Tulsian , Aditya Kanade , Alessandro Orso

Interval arithmetic is hardly feasible without directed rounding as provided, for example, by the IEEE floating-point standard. Equally essential for interval methods is directed rounding for conversion between the external decimal and…

Numerical Analysis · Mathematics 2025-10-20 M. H. van Emden , B. Moa , S. C. Somosan

A long-standing practical challenge in the optimization of higher-order languages is inlining functions with free variables. Inlining code statically at a function call site is safe if the compiler can guarantee that the free variables have…

Programming Languages · Computer Science 2013-06-11 Lars Bergstrom , Matthew Fluet , John Reppy , Nora Sandler

The aim of this paper is to present an original approach that takes advantage from the geometric features of strictly convex functions to tackle the problem of finding the minimum from another perspective. The general idea is that near the…

Optimization and Control · Mathematics 2023-07-21 E. Conti

The accuracies of modern quantum logic clocks have surpassed those of standard atomic fountain clocks. These clocks also provide a greater degree of control, because before and after clock queries, we are able to apply chosen unitary…

Quantum Physics · Physics 2011-07-28 Michael Mullan , Emanuel Knill

Probabilistic programming is a growing area that strives to make statistical analysis more accessible, by separating probabilistic modelling from probabilistic inference. In practice this decoupling is difficult. No single inference…

Programming Languages · Computer Science 2022-04-15 Maria I. Gorinova

Provably correct software is one of the key challenges in our softwaredriven society. While formal verification establishes the correctness of a given program, the result of program synthesis is a program which is correct by construction.…

Logic in Computer Science · Computer Science 2021-03-08 Andreas Humenberger , Laura Kovacs

This paper analyzes the computational complexity of validated interval methods for uncertain nonlinear systems and steady-state enclosure. Interval analysis produces guaranteed enclosures that account for uncertainty and round-off, but its…

Data Structures and Algorithms · Computer Science 2026-05-13 Rudra Prakash , S. Janardhanan , Shaunak Sen

Achieving speed and accuracy for math library functions like exp, sin, and log is difficult. This is because low-level implementation languages like C do not help math library developers catch mathematical errors, build implementations…

Programming Languages · Computer Science 2023-11-06 Ian Briggs , Yash Lad , Pavel Panchekha

We present a generic C++ design to perform efficient and exact geometric computations using lazy evaluations. Exact geometric computations are critical for the robustness of geometric algorithms. Their efficiency is also critical for most…

Computational Geometry · Computer Science 2007-05-23 Sylvain Pion , Andreas Fabri

An original approach to solving rather difficult probabilistic problems arising in studying the readout of random discrete fields and having no exact analytical solutions at the moment is proposed. Several algorithms for direct, iterative,…

Other Computer Science · Computer Science 2014-12-04 Aleksander Reznik , Vitaly Efimov , Aleksander Soloview , Andrey Torgov

This paper aims to develop a verification method for procedural programs via a transformation into Logically Constrained Term Rewriting Systems (LCTRSs). To this end, we extend transformation methods based on integer TRSs to handle…

Logic in Computer Science · Computer Science 2025-09-01 Carsten Fuhs , Cynthia Kop , Naoki Nishida

Computational models of human language often involve combinatorial problems. For instance, a probabilistic parser may marginalize over exponentially many trees to make predictions. Algorithms for such problems often employ dynamic…

Computation and Language · Computer Science 2021-09-16 Tim Vieira , Ryan Cotterell , Jason Eisner

The paper introduces a novel representation for Generalized Planning (GP) problems, and their solutions, as C++ programs. Our C++ representation allows to formally proving the termination of generalized plans, and to specifying their…

Artificial Intelligence · Computer Science 2022-06-30 Javier Segovia-Aguas , Yolanda E-Martín , Sergio Jiménez

Advancement of chip technology will make future computer chips faster. Power consumption of such chips shall also decrease. But this speed gain shall not come free of cost, there is going to be a trade-off between speed and efficiency, i.e…

Programming Languages · Computer Science 2024-04-29 Dibyendu Das , Soumyajit Dey

Deductive verification of concurrent programs under weak memory has thus far been limited to simple programs over a monolithic state space. For scalability, we also require modular techniques with verifiable library abstractions. This paper…

Logic in Computer Science · Computer Science 2021-08-21 Sadegh Dalvandi , Brijesh Dongol

The software development process for embedded systems is getting faster and faster, which generally incurs an increase in the associated complexity. As a consequence, consumer electronics companies usually invest a lot of resources in fast…

Logic in Computer Science · Computer Science 2015-09-08 Felipe R. M. Sousa , Lucas C. Cordeiro , Eddie B. de Lima Filho

Ensuring the correct functionality of systems software, given its safety-critical and low-level nature, is a primary focus in formal verification research and applications. Despite advances in verification tooling, conventional programmers…

Programming Languages · Computer Science 2025-04-04 Yiyuan Cao , Jiayi Zhuang , Houjin Chen , Jinkai Fan , Wenbo Xu , Zhiyi Wang , Di Wang , Qinxiang Cao , Yingfei Xiong , Haiyan Zhao , Zhenjiang Hu