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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

We present a method for verifying the correctness of imperative programs which is based on the automated transformation of their specifications. Given a program prog, we consider a partial correctness specification of the form $\{\varphi\}$…

Logic in Computer Science · Computer Science 2020-02-19 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Software model checkers based on under-approximations and SMT solvers are very successful at verifying safety (i.e. reachability) properties. They combine two key ideas -- (a) "concreteness": a counterexample in an under-approximation is a…

Logic in Computer Science · Computer Science 2013-06-11 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki , Edmund M. Clarke

Formal Methods are mathematically-based techniques for software design and engineering, which enable the unambiguous description of and reasoning about a system's behaviour. Autonomous systems use software to make decisions without human…

Software Engineering · Computer Science 2021-07-29 Matt Luckcuck

In this paper we promote introducing software verification and control flow graph similarity measurement in automated evaluation of students' programs. We present a new grading framework that merges results obtained by combination of these…

Artificial Intelligence · Computer Science 2012-07-02 Milena Vujosevic-Janicic , Mladen Nikolic , Dusan Tosic , Viktor Kuncak

We present an automated reasoning framework for synthesizing recursion-free programs using saturation-based theorem proving. Given a functional specification encoded as a first-order logical formula, we use a first-order theorem prover to…

Logic in Computer Science · Computer Science 2024-03-01 Petra Hozzová , Laura Kovács , Chase Norman , Andrei Voronkov

Modern separation logics allow one to prove rich properties of intricate code, e.g. functional correctness and linearizability of non-blocking concurrent code. However, this expressiveness leads to a complexity that makes these logics…

Programming Languages · Computer Science 2021-08-16 Felix A. Wolf , Malte Schwerhoff , Peter Müller

Software verification of evolving systems is challenging mainstream methodologies and tools. Formal verification techniques often conflict with the time constraints imposed by change management practices for evolving systems. Since changes…

Software Engineering · Computer Science 2013-05-02 Domenico Bianculli , Antonio Filieri , Carlo Ghezzi , Dino Mandrioli

The growing complexity and diversity of models used in the engineering of dependable systems implies that a variety of formal methods, across differing abstractions, paradigms, and presentations, must be integrated. Such an integration…

Logic in Computer Science · Computer Science 2020-07-28 Simon Foster , James Baxter , Ana Cavalcanti , Jim Woodcock , Frank Zeyda

The goal of cooperative verification is to combine verification approaches in such a way that they work together to verify a system model. In particular, cooperative verifiers provide exchangeable information (verification artifacts) to…

Software Engineering · Computer Science 2019-05-22 Dirk Beyer , Heike Wehrheim

Among formal methods, the deductive verification approach allows establishing the strongest possible formal guarantees on critical software. The downside is the cost in terms of human effort required to design adequate formal specifications…

Software Engineering · Computer Science 2018-11-28 Sylvain Dailler , Claude Marché , Yannick Moy

Noisy data, non-convex objectives, model misspecification, and numerical instability can all cause undesired behaviors in machine learning systems. As a result, detecting actual implementation errors can be extremely difficult. We…

Software Engineering · Computer Science 2017-06-28 Daniel Selsam , Percy Liang , David L. Dill

Most software verification tools can be classified into one of a number of established families, each of which has their own focus and strengths. For example, concrete counterexample generation in model checking, invariant inference in…

Logic in Computer Science · Computer Science 2015-06-30 Martin Brain , Saurabh Joshi , Daniel Kroening , Peter Schrammel

Development of formal proofs of correctness of programs can increase actual and perceived reliability and facilitate better understanding of program specifications and their underlying assumptions. Tools supporting such development have…

Logic in Computer Science · Computer Science 2020-03-17 Talia Ringer , Karl Palmskog , Ilya Sergey , Milos Gligoric , Zachary Tatlock

Certified program synthesis (aka vericoding) is the process of automatically generating a program, its formal specification, and a machine-checkable proof of their alignment from a natural-language description. Two challenges make…

Software Engineering · Computer Science 2026-04-21 Yueyang Feng , Dipesh Kafle , Vladimir Gladshtein , Vitaly Kurin , George Pîrlea , Qiyuan Zhao , Peter Müller , Ilya Sergey

Model checking is an established technique to formally verify automation systems which are required to be trusted. However, for sufficiently complex systems model checking becomes computationally infeasible. On the other hand, testing,…

Software Engineering · Computer Science 2019-07-30 Igor Buzhinsky , Valeriy Vyatkin

Automatically verifying safety properties of programs is hard, and it is even harder if the program acts upon arrays or other forms of maps. Many approaches exist for verifying programs operating upon Boolean and integer values (e.g.…

Programming Languages · Computer Science 2015-10-01 David Monniaux , Laure Gonnord

System integration testing is the process of testing a system by the stepwise integration of sub-components. Usually these sub-components are already verified to guarantee their correct functional behavior. By integration of these verified…

Software Engineering · Computer Science 2014-04-29 Susanne Kandl , Martin Elshuber

Checking software application suitability using automated software tools has become a vital element for most organisations irrespective of whether they produce in-house software or simply customise off-the-shelf software applications for…

Software Engineering · Computer Science 2015-08-05 Rajesh Mathur , Scott Miles , Miao Du

We review state-of-the-art formal methods applied to the emerging field of the verification of machine learning systems. Formal methods can provide rigorous correctness guarantees on hardware and software systems. Thanks to the availability…

Programming Languages · Computer Science 2021-04-22 Caterina Urban , Antoine Miné