This book constitutes the refereed proceedings of the Third International Symposium on Unifying Theories of Programming, UTP 2010, held in Shanghai, China, in November 2010, in conjunction with the 12th International Conference on Formal Engineering Methods, ICFEM 2010. The 12 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 25 submissions. Based on the pioneering work on unifying theories of programming of Tony Hoare, He Jifeng, and others, the aims of this Symposium series are to continue to reaffirm the significance of the ongoing UTP project, to encourage efforts to advance it by providing a focus for the sharing of results by those already actively contributing, and to raise awareness of the benefits of such a unifying theoretical framework among the wider computer science and software engineering communities.

This book constitutes the thoroughly refereed post-proceedings of the First International Symposium on Unifying Theories of Programming, UTP 2006, held at Walworth Castle, County Durham, UK, in February 2006. The book presents 14 revised full papers. Based on the pioneering work on unifying theories of programming by Tony Haare and Jifeng He, UTP 2006 focused on the most significant results and raised awareness of the benefits of unifying theoretical frameworks.

This book constitutes the thoroughly refereed post-proceedings of the Second International Symposium on Unifying Theories of Programming, UTP 2008, held at Trinity College, Dublin, Ireland, in September 2008. The 15 revised full papers presented, together with two invited talks, were carefully reviewed and selected from 20 submissions. Based on the pioneering work on unifying theories of programming of Tony Hoare, He Jifeng, and others, the aims of this Symposium series are to continue to reaffirm the significance of the ongoing UTP project, to encourage efforts to advance it by providing a focus for the sharing of results by those already actively contributing, and to raise awareness of the benefits of such a unifying theoretical framework among the wider computer science and software engineering communities.

This book constitutes the refereed proceedings of the 6th International Symposium on Unifying Theories of Programming, UTP 2016, held in Reykjavik, Iceland, in June 2016, in conjunction with the 12th International Conference on Integrated Formal Methods, iFM 2016. The 8 revised full papers presented were carefully reviewed and selected from 10 submissions. They deal with the fundamental problem of combination of formal notations and theories of programming that define in various different ways many common notions, such as abstraction refinement, choice, termination, feasibility, locality, concurrency, and communication. They also show that despite many differences, such theories may be unified in a way that greatly facilitates their study and comparison.

This book constitutes the refereed proceedings of the 4th International Symposium on Unifying Theories of Programming, UTP 2012, held in Paris, France, in August 2012, co-located with the 18th International Symposium on Formal Methods, FM 2012. The 8 revised full papers presented together with 2 invited talks and one invited lecture were carefully reviewed and selected from 13 submissions.

This book constitutes the refereed proceedings of the 5th International Symposium on Unifying Theories of Programming, UTP 2014, held in Singapore, Singapore, in May 13, 2014, co-located with the 19th International Symposium on Formal Methods, FM 2014. The 7 revised full papers presented together with one invited talk were carefully reviewed and selected from 11 submissions. They deal with numerous formal notations and theories of programming, such as abstraction, refinement, choice, termination, feasibility, locality, concurrency and communication.

This volume contains papers presented at UTP 2019, the 7th International Symposium on Unifying Theories of Programming, held in Porto, Portugal, on the 8th of October 2019. This edition of the UTP symposium is in honor of Sir Tony Hoare, on the occasion of his 85th birthday. The papers contained in this volume were invited, and friendly refereed, original contributions sought from the UTP community. One of the papers is from the distinguished invited speaker Tony Hoare himself. Nine other additional papers compose this volume, covering several aspects of Unifying Theories of Programming.

This book presents 5 tutorial lectures by leading researchers given at the ICTAC 2013 Software Engineering School on Unifying Theories of Programming and Formal Engineering Methods, held in Shanghai, China in August 2013.The lectures are aimed at postgraduate students, researchers, academics, and industrial engineers. They cover topics such as component-based and service-oriented systems, real-time systems, hybrid systems, cyber physical systems, and present techniques such as inductive theorem proving, model checking, correction by construction through refinement and model transformations, synthesis, and computer algebra. Two of the courses are explicitly related to Hoare and He's Unifying Theories of Programming.

This book provides a synthesis of the theory of programming. It aims to use mathematical theory of programming to provide a similar basis for specification, design and implementation of programs. It is wide ranging both in its subject matter and also in its approach and style. The first five chapters justify and introduce the main concepts and methods to be used within the text, relating the goal of unification to the achievements of other branches of science and mathematics. The remaining chapters introduce more advanced programming language features one by one. The main methods of programming are summarised and concluded in a manner suitable for those already familiar with programming semantics. Definitions are accompanied by examples and the theorems by meticulous proof.

Sir Tony Hoare has had an enormous influence on computer science, from the Quicksort algorithm to the science of software development, concurrency and program verification. His contributions have been widely recognised: He was awarded the ACM’s Turing Award in 1980, the Kyoto Prize from the Inamori Foundation in 2000, and was knighted for “services to education and computer science” by Queen Elizabeth II of England in 2000. This book presents the essence of his various works—the quest for effective abstractions—both in his own words as well as chapters written by leading experts in the field, including many of his research collaborators. In addition, this volume contains biographical material, his Turing award lecture, the transcript of an interview and some of his seminal papers. Hoare’s foundational paper “An Axiomatic Basis for Computer Programming”, presented his approach, commonly known as Hoare Logic, for proving the correctness of programs by using logical assertions. Hoare Logic and subsequent developments have formed the basis of a wide variety of software verification efforts. Hoare was instrumental in proposing the Verified Software Initiative, a cooperative international project directed at the scientific challenges of large-scale software verification, encompassing theories, tools and experiments. Tony Hoare’s contributions to the theory and practice of concurrent software systems are equally impressive. The process algebra called Communicating Sequential Processes (CSP) has been one of the fundamental paradigms, both as a mathematical theory to reason about concurrent computation as well as the basis for the programming language occam. CSP served as a framework for exploring several ideas in denotational semantics such as powerdomains, as well as notions of abstraction and refinement. It is the basis for a series of industrial-strength tools which have been employed in a wide range of applications. This book also presents Hoare’s work in the last few decades. These works include a rigorous approach to specifications in software engineering practice, including procedural and data abstractions, data refinement, and a modular theory of designs. More recently, he has worked with collaborators to develop Unifying Theories of Programming (UTP). Their goal is to identify the common algebraic theories that lie at the core of sequential, concurrent, reactive and cyber-physical computations.