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We propose a novel mechanism of defining data structures using intrinsic definitions that avoids recursion and instead utilizes monadic maps satisfying local conditions. We show that intrinsic definitions are a powerful mechanism that can…

Programming Languages · Computer Science 2024-05-01 Adithya Murali , Cody Rivera , P. Madhusudan

We report on the automation of a technique to prove the correctness of program transformations in higher-order program calculi which may permit recursive let-bindings as they occur in functional programming languages. A program…

Logic in Computer Science · Computer Science 2019-02-25 David Sabel

This paper presents a novel approach to automatically verify properties of pure data-parallel programs with non-linear indexing -- expressed as pre- and post-conditions on functions. Programs consist of nests of second-order array…

Programming Languages · Computer Science 2025-07-01 Nikolaj Hey Hinnerskov , Robert Schenck , Cosmin E. Oancea

Programmers often use an iterative process of hypothesis generation ("perhaps this function is called twice?") and hypothesis testing ("let's count how many times this breakpoint fires") to understand the behavior of unfamiliar or…

Programming Languages · Computer Science 2026-04-14 Shardul Chiplunkar , Clément Pit-Claudel

Model checking temporal properties of software is algorithmically hard. To be practically feasible, it usually requires the creation of simpler, abstract models of the software, over which the properties are checked. However, creating…

Formal Languages and Automata Theory · Computer Science 2025-03-17 Jesper Amilon , Dilian Gurov

Interrupts have been widely used in safety-critical computer systems to handle outside stimuli and interact with the hardware, but reasoning about interrupt-driven software remains a difficult task. Although a number of static verification…

Programming Languages · Computer Science 2017-09-29 Chungha Sung , Markus Kusano , Chao Wang

Specification languages are essential in deductive program verification, but they are usually based on first-order logic, hence less expressive than the programs they specify. Recently, trace specification logics with fixed points that are…

Logic in Computer Science · Computer Science 2025-11-18 Niklas Heidler , Reiner Hähnle

We establish fundamental and general techniques for formal verification of quantum protocols. Quantum protocols are novel communication schemes involving the use of quantum-mechanical phenomena for representation, storage and transmission…

Quantum Physics · Physics 2007-05-23 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

Relational program verification is a variant of program verification where one can reason about two programs and as a special case about two executions of a single program on different inputs. Relational program verification can be used for…

Programming Languages · Computer Science 2019-10-23 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Pierre-Yves Strub

The paper proposes a control-theoretic framework for verification of numerical software systems, and puts forward software verification as an important application of control and systems theory. The idea is to transfer Lyapunov functions…

Systems and Control · Computer Science 2011-08-30 Mardavij Roozbehani , Alexandre Megretski , Eric Feron

This work utilizes the plethora of work on verification of sequential programs for the purpose of verifying concurrent programs. We reduce the verification of a concurrent program to a series of verification tasks of sequential programs.…

Programming Languages · Computer Science 2021-06-03 Dan Rasin , Orna Grumberg , Sharon Shoham

We study the uniform verification problem for infinite state processes, which consists of proving that the parallel composition of an arbitrary number of processes satisfies a temporal property. Our practical motivation is to build a…

Logic in Computer Science · Computer Science 2014-01-10 Alejandro Sánchez , César Sánchez

Model-checking is one of the most powerful techniques for verifying systems and programs, which since the pioneering results by Knapik et al., Ong, and Kobayashi, is known to be applicable to functional programs with higher-order types…

Logic in Computer Science · Computer Science 2023-09-01 Ugo Dal Lago , Alexis Ghyselen

We introduce a new methodology based on refinement for testing the functional correctness of hardware and low-level software. Our methodology overcomes several major drawbacks of the de facto testing methodologies used in industry: (1) it…

Logic in Computer Science · Computer Science 2017-03-17 Mitesh Jain , Panagiotis Manolios

There are two ways to check if a program is correct, namely execute it or review it. While executing a program is the ultimate test for its correctness reviewing the program can occur earlier in its development and find problems if done…

Software Engineering · Computer Science 2024-07-03 Scott Ballentine , Eitan Farchi

Reading code is an essential activity in software maintenance and evolution. Several studies with human subjects have investigated how different factors, such as the employed programming constructs and naming conventions, can impact code…

Software Engineering · Computer Science 2021-10-05 Delano Oliveira , Reydne Bruno , Fernanda Madeiral , Fernando Castor

Reynold's parametricity theory captures the property that parametrically polymorphic functions behave uniformly: they produce related results on related instantiations. In dependently-typed programming languages, such relations and…

Logic in Computer Science · Computer Science 2017-07-13 Abhishek Anand , Greg Morrisett

Boyer and Moore have discussed a recursive function that puts conditional expressions into normal form [1]. It is difficult to prove that this function terminates on all inputs. Three termination proofs are compared: (1) using a measure…

Logic in Computer Science · Computer Science 2009-09-25 Lawrence C. Paulson

Contracts specifying a procedure's behavior in terms of pre- and postconditions are essential for scalable software verification, but cannot express any constraints on the events occurring during execution of the procedure. This…

Software Engineering · Computer Science 2022-11-22 Richard Bubel , Dilian Gurov , Reiner Hähnle , Marco Scaletta

Statistical methods have been widely misused and misinterpreted in various scientific fields, raising significant concerns about the integrity of scientific research. To mitigate this problem, we propose a tool-assisted method for formally…

Software Engineering · Computer Science 2025-06-05 Yusuke Kawamoto , Kentaro Kobayashi , Kohei Suenaga
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