This book provides an overview about the open challenges in software verification. Software verification is a branch of software engineering aiming at guaranteeing that software applications satisfy some requirements of interest. Over the years, the software verification community has proposed and considered several techniques: abstract interpretation, data-flow analysis, type systems, model checking are just a few examples. The theoretical advances have been always motivated by practical challenges that have led to an equal evolution of both these sides of software verification. Indeed, several verification tools have been proposed by the research community and any software application, in order to guarantee that certain software requirements are met, needs to integrate a verification phase in its life cycle, independently of the context of application or software size. This book is aimed at collecting contributions discussing recent advances in facing open challenges in software verification, relying on a broad spectrum of verification techniques. This book collects contributions ranging from theoretical to practical arguments, and it is aimed at both researchers in software verification and their practitioners.

This book constitutes the refereed proceedings of the 12th International Conference on Verified Software, VSTTE 2020, and the 13th International Workshop on Numerical Software Verification, NSV 2020, held in Los Angeles, CA, USA, in July 2020. Due to COVID-19 pandemic the conference was held virtually. The 13 papers presented in this volume were carefully reviewed and selected from 21 submissions. The papers describe large-scale verification efforts that involve collaboration, theory unification, tool integration, and formalized domain knowledge as well as novel experiments and case studies evaluating verification techniques and technologies. The conference was co-located with the 32nd International Conference on Computer-Aided Verification (CAV 2020).

This textbook overviews the whole spectrum of formal methods and techniques that are aimed at verifying correctness of software, and how they can be used in practice. It focuses on techniques whereby the user has some control over the properties that are being checked. More specifically, it shows a wide range of techniques covering the whole spectrum: from abstract system design to implementation, from bug finding to full proofs, and from techniques that are push-button by design and give a yes/no answer to techniques that require the user to provide explicit guidance to steer the analysis process. Topics and features: Covers a broad spectrum of software verification techniques, from model checking to annotation checking Provides numerous examples to demonstrate the techniques Focuses on how techniques can be used (and the main ideas behind how they work), as opposed to how they are implemented Explains strengths and weaknesses of the techniques, providing insight into when to use which technique in practice This unique textbook has been written primarily for master’s level students in computer science studying embedded systems and specializing in software technology. The book will also be of interest for students studying cyber security and data science technology, as well as for system or software developers interested in techniques that offer formal guarantees about software.

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This book fills the critical need for an in-depth technical reference providing the methods and techniques for building and maintaining confidence in many varities of system software. The intent is to help develop reliable answers to such critical questions as: 1) Are we building the right software for the need? and 2) Are we building the software right? Software Verification and Validation: An Engineering and Scientific Approach is structured for research scientists and practitioners in industry. The book is also suitable as a secondary textbook for advanced-level students in computer science and engineering.

This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Haifa Verification Conference, HVC 2010, held in Haifa, Israel in October 2010. The 10 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 30 submissions. The papers address all current issues, challenges and future directions of verification for hardware, software, and hybrid systems and have a research focus on hybrid methods and the migration of methods and ideas between hardware and software, static and dynamic analysis, pre- and post-silicon.

A classic treatise that defined the field of applied demand analysis, Consumer Demand in the United States: Prices, Income, and Consumption Behavior is now fully updated and expanded for a new generation. Consumption expenditures by households in the United States account for about 70% of Americaâ__s GDP. The primary focus in this book is on how households adjust these expenditures in response to changes in price and income. Econometric estimates of price and income elasticities are obtained for an exhaustive array of goods and services using data from surveys conducted by the Bureau of Labor Statistics, providing a better understanding of consumer demand. Practical models for forecasting future price and income elasticities are also demonstrated. Fully revised with over a dozen new chapters and appendices, the book revisits the original Taylor-Houthakker models while examining new material as well, such as the use of quantile regression and the stationarity of consumer preference. It also explores the emerging connection between neuroscience and consumer behavior, integrating the economic literature on demand theory with psychology literature. The most comprehensive treatment of the topic to date, this volume will be an essential resource for any researcher, student or professional economist working on consumer behavior or demand theory, as well as investors and policymakers concerned with the impact of economic fluctuations.