B-Toolkit
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B-Toolkit
The B method is a method of software development based on B, a tool-supported formal method based on an abstract machine notation, used in the development of computer software. Overview B was originally developed in the 1980s by Jean-Raymond Abrial in France and the UK. B is related to the Z notation (also originated by Abrial) and supports development of programming language code from specifications. B has been used in major safety-critical system applications in Europe (such as the automatic Paris Métro lines 14 and 1 and the Ariane 5 rocket). It has robust, commercially available tool support for specification, design, proof and code generation. Compared to Z, B is slightly more low-level and more focused on refinement to code rather than just formal specification — hence it is easier to correctly implement a specification written in B than one in Z. In particular, there is good tool support for this. The same language is used in specification, design and programming. ...
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Software Development
Software development is the process of conceiving, specifying, designing, programming, documenting, testing, and bug fixing involved in creating and maintaining applications, frameworks, or other software components. Software development involves writing and maintaining the source code, but in a broader sense, it includes all processes from the conception of the desired software through to the final manifestation of the software, typically in a planned and structured process. Software development also includes research, new development, prototyping, modification, reuse, re-engineering, maintenance, or any other activities that result in software products. Methodologies One system development methodology is not necessarily suitable for use by all projects. Each of the available methodologies are best suited to specific kinds of projects, based on various technical, organizational, project, and team considerations. Software development activities Identification of need The sou ...
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Program Specification
In computer science, formal specifications are mathematically based techniques whose purpose are to help with the implementation of systems and software. They are used to describe a system, to analyze its behavior, and to aid in its design by verifying key properties of interest through rigorous and effective reasoning tools. These specifications are ''formal'' in the sense that they have a syntax, their semantics fall within one domain, and they are able to be used to infer useful information. Motivation In each passing decade, computer systems have become increasingly more powerful and, as a result, they have become more impactful to society. Because of this, better techniques are needed to assist in the design and implementation of reliable software. Established engineering disciplines use mathematical analysis as the foundation of creating and validating product design. Formal specifications are one such way to achieve this in software engineering reliability as once predicted. ...
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BCS-FACS
BCS-FACS is the BCS ''Formal Aspects of Computing Science'' Specialist Group. Overview The FACS group, inaugurated on 16 March 1978, organizes meetings for its members and others on formal methods and related computer science topics. There is an associated journal, ''Formal Aspects of Computing'', published by Springer, and a more informal ''FACS FACTS'' newsletter. The group celebrated its 20th anniversary with a meeting at the Royal Society in London in 1998, with presentations by four eminent computer scientists, Mike Gordon, Tony Hoare, Robin Milner and Gordon Plotkin, all Fellows of the Royal Society. From 2002–2008 and since 2013 again, the Chair of BCS-FACS has been Jonathan Bowen. Jawed Siddiqi was Chair during 2008–2013. In December 2002, BCS-FACS organized a conference on the ''Formal Aspects of Security'' (FASec'02) at Royal Holloway, University of London. In 2004, FACS organized a major event at London South Bank University to celebrate its own 25th anniversary ...
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FACS FACTS
BCS-FACS is the BCS ''Formal Aspects of Computing Science'' Specialist Group. Overview The FACS group, inaugurated on 16 March 1978, organizes meetings for its members and others on formal methods and related computer science topics. There is an associated journal, ''Formal Aspects of Computing'', published by Springer, and a more informal ''FACS FACTS'' newsletter. The group celebrated its 20th anniversary with a meeting at the Royal Society in London in 1998, with presentations by four eminent computer scientists, Mike Gordon, Tony Hoare, Robin Milner and Gordon Plotkin, all Fellows of the Royal Society. From 2002–2008 and since 2013 again, the Chair of BCS-FACS has been Jonathan Bowen. Jawed Siddiqi was Chair during 2008–2013. In December 2002, BCS-FACS organized a conference on the ''Formal Aspects of Security'' (FASec'02) at Royal Holloway, University of London. In 2004, FACS organized a major event at London South Bank University to celebrate its own 25th anniversar ...
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First Order Logic
First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables, so that rather than propositions such as "Socrates is a man", one can have expressions in the form "there exists x such that x is Socrates and x is a man", where "there exists''"'' is a quantifier, while ''x'' is a variable. This distinguishes it from propositional logic, which does not use quantifiers or relations; in this sense, propositional logic is the foundation of first-order logic. A theory about a topic is usually a first-order logic together with a specified domain of discourse (over which the quantified variables range), finitely many functions from that domain to itself, finitely many predicates defined on that domain, and a set of axi ...
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Set Theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory. The non-formalized systems investigated during this early stage go under the name of '' naive set theory''. After the discovery of paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox) various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly employed as a foundational ...
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Rodin
François Auguste René Rodin (12 November 184017 November 1917) was a French sculptor, generally considered the founder of modern sculpture. He was schooled traditionally and took a craftsman-like approach to his work. Rodin possessed a unique ability to model a complex, turbulent, and deeply pocketed surface in clay. He is known for such sculptures as ''The Thinker'', ''Monument to Balzac'', '' The Kiss'', ''The Burghers of Calais'', and ''The Gates of Hell''. Many of Rodin's most notable sculptures were criticized, as they clashed with predominant figurative sculpture traditions in which works were decorative, formulaic, or highly thematic. Rodin's most original work departed from traditional themes of mythology and allegory. He modeled the human body with naturalism, and his sculptures celebrate individual character and physicality. Although Rodin was sensitive to the controversy surrounding his work, he refused to change his style, and his continued output brought increa ...
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Cambridge University Press
Cambridge University Press is the university press of the University of Cambridge. Granted letters patent by Henry VIII of England, King Henry VIII in 1534, it is the oldest university press A university press is an academic publishing house specializing in monographs and scholarly journals. Most are nonprofit organizations and an integral component of a large research university. They publish work that has been reviewed by schola ... in the world. It is also the King's Printer. Cambridge University Press is a department of the University of Cambridge and is both an academic and educational publisher. It became part of Cambridge University Press & Assessment, following a merger with Cambridge Assessment in 2021. With a global sales presence, publishing hubs, and offices in more than 40 Country, countries, it publishes over 50,000 titles by authors from over 100 countries. Its publishing includes more than 380 academic journals, monographs, reference works, school and uni ...
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Encapsulation (object-oriented Programming)
In software systems, encapsulation refers to the bundling of data with the mechanisms or methods that operate on the data, or the limiting of direct access to some data, such as an object's components. Encapsulation allows developers to present a consistent and usable interface which is independent of how a system is implemented internally. As one example, encapsulation can be used to hide the values or state of a structured data object inside a class, preventing direct access to them by clients in a way that could expose hidden implementation details or violate state invariance maintained by the methods. All object-oriented programming (OOP) systems support encapsulation, but encapsulation is not unique to OOP. Implementations of abstract data types, modules, and libraries, among other systems, also offer encapsulation. The similarity has been explained by programming language theorists in terms of existential types. Meaning In object-oriented programming languages, and other r ...
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Formal Specification
In computer science, formal specifications are mathematically based techniques whose purpose are to help with the implementation of systems and software. They are used to describe a system, to analyze its behavior, and to aid in its design by verifying key properties of interest through rigorous and effective reasoning tools. These specifications are ''formal'' in the sense that they have a syntax, their semantics fall within one domain, and they are able to be used to infer useful information. Motivation In each passing decade, computer systems have become increasingly more powerful and, as a result, they have become more impactful to society. Because of this, better techniques are needed to assist in the design and implementation of reliable software. Established engineering disciplines use mathematical analysis as the foundation of creating and validating product design. Formal specifications are one such way to achieve this in software engineering reliability as once predicted. ...
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Program Refinement
Refinement is a generic term of computer science that encompasses various approaches for producing correct computer programs and simplifying existing programs to enable their formal verification. Program refinement In formal methods, program refinement is the verifiable transformation of an ''abstract'' (high-level) formal specification into a ''concrete'' (low-level) executable program. '' Stepwise refinement'' allows this process to be done in stages. Logically, refinement normally involves implication, but there can be additional complications. The progressive just-in-time preparation of the product backlog (requirements list) in agile software development approaches, such as Scrum, is also commonly described as refinement. Data refinement Data refinement is used to convert an abstract data model (in terms of sets for example) into implementable data structures (such as arrays). Operation refinement converts a specification of an operation on a system into an implementable ...
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