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Bigraph
A bigraph can be modelled as the superposition of a graph (the ''link graph'') and a set of trees (the ''place graph'').A Brief Introduction To Bigraphs', IT University of Copenhagen, Denmark.Milner, Robin. The Model', University of Cambridge Computer Laboratory, UK. Each node of the bigraph is part of a graph and also part of some tree that describes how the nodes are nested. Bigraphs can be conveniently and formally displayed as diagrams. They have applications in the modelling of distributed systems for ubiquitous computing and can be used to describe mobile interactions. They have also been used by Robin Milner in an attempt to subsume Calculus of Communicating Systems (CCS) and π-calculus. They have been studied in the context of category theory. Anatomy of a bigraph Aside from nodes and ( hyper-)edges, a bigraph may have associated with it one or more ''regions'' which are roots in the place forest, and zero or more ''holes'' in the place graph, into which othe ...
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Robin Milner
Arthur John Robin Gorell Milner (13 January 1934 – 20 March 2010), known as Robin Milner or A. J. R. G. Milner, was a British computer scientist, and a Turing Award winner.Obituary – Professor Robin Milner: computer scientist
'''', 31 March 2010.


Life, education and career

Milner was born in , near ,

Ubiquitous Computing
Ubiquitous computing (or "ubicomp") is a concept in software engineering, hardware engineering and computer science where computing is made to appear anytime and everywhere. In contrast to desktop computing, ubiquitous computing can occur using any device, in any location, and in any format. A user interacts with the computer, which can exist in many different forms, including laptop computers, tablets, smart phones and terminals in everyday objects such as a refrigerator or a pair of glasses. The underlying technologies to support ubiquitous computing include Internet, advanced middleware, operating system, mobile code, sensors, microprocessors, new I/O and user interfaces, computer networks, mobile protocols, location and positioning, and new materials. This paradigm is also described as pervasive computing, ambient intelligence, or "everyware". Each term emphasizes slightly different aspects. When primarily concerning the objects involved, it is also known as physical compu ...
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1912
Events January * January 1 – The Republic of China (1912–49), Republic of China is established. * January 5 – The Prague Conference (6th All-Russian Conference of the Russian Social Democratic Labour Party) opens. * January 6 ** German Geophysics, geophysicist Alfred Wegener first presents his theory of continental drift. ** New Mexico become the 47th U.S. State. * January 8 – The African National Congress is founded as the South African Native National Congress, at the Waaihoek Wesleyan Church in Bloemfontein, to promote improved rights for Black people, black South Africans, with John Langalibalele Dube as its first president. * January 14 – Raymond Poincaré forms a coalition government in France, beginning his first term of office as Prime Minister on 21 January. * January 17 – British polar explorer Captain Robert Falcon Scott and a team of four become the second expeditionary group to reach the South Pole. * January 18 (Old Style and New ...
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Model Checker
In computer science, model checking or property checking is a method for checking whether a finite-state model of a system meets a given specification (also known as correctness). This is typically associated with hardware or software systems, where the specification contains liveness requirements (such as avoidance of livelock) as well as safety requirements (such as avoidance of states representing a system crash). In order to solve such a problem algorithmically, both the model of the system and its specification are formulated in some precise mathematical language. To this end, the problem is formulated as a task in logic, namely to check whether a structure satisfies a given logical formula. This general concept applies to many kinds of logic and many kinds of structures. A simple model-checking problem consists of verifying whether a formula in the propositional logic is satisfied by a given structure. Overview Property checking is used for verification when two de ...
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Java (programming Language)
Java is a high-level, class-based, object-oriented programming language that is designed to have as few implementation dependencies as possible. It is a general-purpose programming language intended to let programmers ''write once, run anywhere'' ( WORA), meaning that compiled Java code can run on all platforms that support Java without the need to recompile. Java applications are typically compiled to bytecode that can run on any Java virtual machine (JVM) regardless of the underlying computer architecture. The syntax of Java is similar to C and C++, but has fewer low-level facilities than either of them. The Java runtime provides dynamic capabilities (such as reflection and runtime code modification) that are typically not available in traditional compiled languages. , Java was one of the most popular programming languages in use according to GitHub, particularly for client–server web applications, with a reported 9 million developers. Java was originally developed ...
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OCaml
OCaml ( , formerly Objective Caml) is a general-purpose programming language, general-purpose, multi-paradigm programming language which extends the Caml dialect of ML (programming language), ML with object-oriented programming, object-oriented features. OCaml was created in 1996 by Xavier Leroy, Jérôme Vouillon, Damien Doligez, Didier Rémy, Ascánder Suárez, and others. The OCaml toolchain includes an interactive top-level Interpreter (computing), interpreter, a bytecode compiler, an optimizing native code compiler, a reversible debugger, and a package manager (OPAM). OCaml was initially developed in the context of automated theorem proving, and has an outsize presence in static program analysis, static analysis and formal methods software. Beyond these areas, it has found serious use in systems programming, web development, and financial engineering, among other application domains. The acronym ''CAML'' originally stood for ''Categorical Abstract Machine Language'', but O ...
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Mixed Reality
Mixed reality (MR) is a term used to describe the merging of a real-world environment and a computer-generated one. Physical and virtual objects may co-exist in mixed reality environments and interact in real time. Mixed reality is largely synonymous with augmented reality. Mixed reality that incorporates haptics has sometimes been referred to as Visuo-haptic mixed reality. In a physics context, the term "interreality system" refers to a virtual reality system coupled with its real-world counterpart. A 2007 paper describes an interreality system comprising a real physical pendulum coupled to a pendulum that only exists in virtual reality. This system has two stable states of motion: a "Dual Reality" state in which the motion of the two pendula are uncorrelated, and a "Mixed Reality" state in which the pendula exhibit stable phase-locked motion, which is highly correlated. The use of the terms "mixed reality" and "interreality" is clearly defined in the context of physics and may ...
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Science Of Computer Programming
''Science of Computer Programming'' is a peer-reviewed scientific journal covering computer programming. It is published by Elsevier and the editors-in-chief are M.R. Mousavi ( King's College London) and A. De Lucia (University of Salerno). The journal was established in 1981. Abstracting and indexing The journal is abstracted and indexed in: According to the ''Journal Citation Reports'', the journal has a 2020 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a scientometric index calculated by Clarivate that reflects the yearly mean number of citations of articles published in the last two years in a given journal, as ... of 0.863. References External links * Computer science journals Elsevier academic journals English-language journals Journals published between 13 and 25 times per year Academic journals established in 1981 {{compu-journal-stub ...
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Formal Aspects Of Computing
''Formal Aspects of Computing'' (''FAOC'') is a peer-reviewed scientific journal published by Springer Science+Business Media, covering the area of formal methods and associated topics in computer science. The editors-in-chief are Jim Woodcock and Cliff Jones. The journal is associated with BCS-FACS, the British Computer Society ''Formal Aspects of Computing Science'' Specialist Group. According to the ''Journal Citation Reports'', the journal has a 2010 impact factor of 1.170. See also * ''Acta Informatica'' * ''Innovations in Systems and Software Engineering ''Innovations in Systems and Software Engineering: A NASA Journal'' is a peer-reviewed scientific journal of computer science covering systems and software engineering, including formal methods. It is published by Springer Science+Business Media on ...'' References External links * Publications established in 1989 Computer science journals Formal methods publications British Computer Society Springer Science+Bus ...
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Function (mathematics)
In mathematics, a function from a set to a set assigns to each element of exactly one element of .; the words map, mapping, transformation, correspondence, and operator are often used synonymously. The set is called the domain of the function and the set is called the codomain of the function.Codomain ''Encyclopedia of Mathematics'Codomain. ''Encyclopedia of Mathematics''/ref> The earliest known approach to the notion of function can be traced back to works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a ''function'' of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of the ...
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Binary Relation
In mathematics, a binary relation associates elements of one set, called the ''domain'', with elements of another set, called the ''codomain''. A binary relation over Set (mathematics), sets and is a new set of ordered pairs consisting of elements in and in . It is a generalization of the more widely understood idea of a unary function. It encodes the common concept of relation: an element is ''related'' to an element , if and only if the pair belongs to the set of ordered pairs that defines the ''binary relation''. A binary relation is the most studied special case of an Finitary relation, -ary relation over sets , which is a subset of the Cartesian product X_1 \times \cdots \times X_n. An example of a binary relation is the "divides" relation over the set of prime numbers \mathbb and the set of integers \mathbb, in which each prime is related to each integer that is a Divisibility, multiple of , but not to an integer that is not a multiple of . In this relation, for ...
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Directed Acyclic Graph
In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it consists of vertices and edges (also called ''arcs''), with each edge directed from one vertex to another, such that following those directions will never form a closed loop. A directed graph is a DAG if and only if it can be topologically ordered, by arranging the vertices as a linear ordering that is consistent with all edge directions. DAGs have numerous scientific and computational applications, ranging from biology (evolution, family trees, epidemiology) to information science (citation networks) to computation (scheduling). Directed acyclic graphs are sometimes instead called acyclic directed graphs or acyclic digraphs. Definitions A graph is formed by vertices and by edges connecting pairs of vertices, where the vertices can be any kind of object that is connected in pairs by edges. In the case of a directed graph, e ...
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