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Code metrics are easy to define, but not so easy to justify. It is hard to prove that a metric is valid, i.e., that measured numerical values imply anything on the vaguely defined, yet crucial software properties such as complexity and…

Software Engineering · Computer Science 2012-01-17 Joseph Gil , Maayan Goldstein , Dany Moshkovich

The syntax of an imperative language does not mention explicitly the state, while its denotational semantics has to mention it. In this paper we present a framework for the verification in Coq of properties of programs manipulating the…

Logic in Computer Science · Computer Science 2013-10-15 Jean-Guillaume Dumas , Dominique Duval , Burak Ekici , Damien Pous

Deductive verification is an effective method to ensure that a given system exposes the intended behavior. In spite of its proven usefulness and feasibility in selected projects, deductive verification is still not a mainstream technique.…

Software Engineering · Computer Science 2026-01-26 Lea Salome Brugger , Xavier Denis , Peter Müller

We apply to logic programming some recently emerging ideas from the field of reduction-based communicating systems, with the aim of giving evidence of the hidden interactions and the coordination mechanisms that rule the operational…

Logic in Computer Science · Computer Science 2007-05-23 Roberto Bruni , Ugo Montanari , Francesca Rossi

Invariants are key to formal loop verification as they capture loop properties that are valid before and after each loop iteration. Yet, generating invariants is a notorious task already for syntactically restricted classes of loops. Rather…

Logic in Computer Science · Computer Science 2024-02-19 S. Hitarth , George Kenison , Laura Kovács , Anton Varonka

The compactness lemma in programming language theory states that any recursive function can be simulated by a finite unrolling of the function. One important use case it has is in the logical relations proof technique for proving properties…

Programming Languages · Computer Science 2024-05-06 Matias Scharager

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

In this paper we describe how to leverage higher-order unification to type check a dependently typed language with meta-variables. The literature usually presents the unification algorithm as a standalone component, however the need to…

Programming Languages · Computer Science 2016-10-03 Francesco Mazzoli , Andreas Abel

A principled approach to the design of program verification and con- struction tools is applied to separation logic. The control flow is modelled by power series with convolution as separating conjunction. A generic construction lifts…

Logic in Computer Science · Computer Science 2014-10-17 Brijesh Dongol , Victor B. F. Gomes , Georg Struth

Formal verification techniques are widely used for detecting design flaws in software systems. Formal verification can be done by transforming an already implemented source code to a formal model and attempting to prove certain properties…

Software Engineering · Computer Science 2017-08-28 Gyula Sallai , Ákos Hajdu , Tamás Tóth , Zoltán Micskei

Technological advancement allows information to be shared in just a single click, which has enabled the rapid spread of false information. This makes automated fact-checking system necessary to ensure the safety and integrity of our online…

Artificial Intelligence · Computer Science 2025-12-02 Anab Maulana Barik , Shou Ziyi , Yang Kaiwen , Yang Qi , Shen Xin

This paper introduces the theory and practice of formal verification of self-assembling systems. We interpret a well-studied abstraction of nanomolecular self assembly, the Abstract Tile Assembly Model (aTAM), into Computation Tree Logic…

Logic in Computer Science · Computer Science 2010-07-22 Aaron Sterling

Program verification is vital for ensuring software reliability, especially in the context of increasingly complex systems. Loop invariants, remaining true before and after each iteration of loops, are crucial for this verification process.…

Programming Languages · Computer Science 2024-06-10 Chang Liu , Xiwei Wu , Yuan Feng , Qinxiang Cao , Junchi Yan

We present SilVer (Silq Verification), an automated tool for verifying behaviors of quantum programs written in Silq, which is a high-level programming language for quantum computing. The goal of the verification is to ensure correctness of…

Quantum Physics · Physics 2024-09-11 Marco Lewis , Paolo Zuliani , Sadegh Soudjani

Relational properties describe multiple runs of one or more programs. They characterize many useful notions of security, program refinement, and equivalence for programs with diverse computational effects, and they have received much…

Type-and-effect systems are a widely-used approach to program verification, verifying the result of a computation using types, and the behavior using effects. This paper extends an effect system for verifying temporal, value-dependent…

Programming Languages · Computer Science 2022-07-22 Taro Sekiyama , Hiroshi Unno

K-fold cross-validation is a widely used tool for assessing classifier performance. The reproducibility crisis faced by artificial intelligence partly results from the irreproducibility of reported k-fold cross-validation-based performance…

Machine Learning · Computer Science 2024-01-26 Attila Fazekas , Gyorgy Kovacs

Provably correct software is one of the key challenges of our software-driven society. Program synthesis -- the task of constructing a program satisfying a given specification -- is one strategy for achieving this. The result of this task…

Logic in Computer Science · Computer Science 2022-06-24 Andreas Humenberger , Daneshvar Amrollahi , Nikolaj Bjørner , Laura Kovács

Runtime Verification is a lightweight formal verification technique. It is used to verify at runtime whether the system under analysis behaves as expected. The expected behaviour is usually formally specified by means of properties, which…

Logic in Computer Science · Computer Science 2021-10-26 Angelo Ferrando , Rafael C. Cardoso

There is increasing interest in applying verification tools to programs that have bitvector operations (eg., binaries). SMT solvers, which serve as a foundation for these tools, have thus increased support for bitvector reasoning through…

Programming Languages · Computer Science 2021-08-31 Yuandong Cyrus Liu , Chengbin Pang , Daniel Dietsch , Eric Koskinen , Ton-Chanh Le , Georgios Portokalidis , Jun Xu