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Abiteboul–Vianu Theorem
Serge Joseph Abiteboul (born 25 August 1953 in Paris, France) is a French computer scientist working in the areas of data management, database theory, and finite model theory. Education The son of two hardware store owners, Abiteboul attended high-school in Romorantin-Lanthenay, Romorantin, and Classe préparatoire aux grandes écoles, Higher School Preparatory Classes in Tours. He was admitted to the Télécom ParisTech, Télécom Paris engineering school and studied at the Technion – Israel Institute of Technology, Technion in Haifa for a year. Abiteboul received his PhD from the University of Southern California under the supervision of Seymour Ginsburg, in 1982. Career and research Abiteboul is a senior researcher at the Institut national de recherche en informatique et en automatique, Institut national de recherche en informatique et en automatique (INRIA), the French national research institute focussing on computer science and related areas, and has been a professor of th ...
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Paris
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of cities in the European Union by population within city limits, fourth-most populous city in the European Union and the List of cities proper by population density, 30th most densely populated city in the world in 2022. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, culture, Fashion capital, fashion, and gastronomy. Because of its leading role in the French art, arts and Science and technology in France, sciences and its early adoption of extensive street lighting, Paris became known as the City of Light in the 19th century. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an official estimated population of 12,271,794 inhabitants in January 2023, or ...
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Tours
Tours ( ; ) is the largest city in the region of Centre-Val de Loire, France. It is the Prefectures in France, prefecture of the Departments of France, department of Indre-et-Loire. The Communes of France, commune of Tours had 136,463 inhabitants as of 2018 while the population of the whole functional area (France), metropolitan area was 516,973. Tours sits on the lower reaches of the Loire, between Orléans and the Atlantic Ocean, Atlantic coast. Formerly named Caesarodunum by its founder, Roman Augustus, Emperor Augustus, it possesses one of the largest amphitheaters of the Roman Empire, the Tours Amphitheatre. Known for the Battle of Tours in 732 AD, it is a National Sanctuary with connections to the Merovingian dynasty, Merovingians and the Carolingian dynasty, Carolingians, with the Capetian dynasty, Capetians making the kingdom's currency the Livre tournois. Martin of Tours, Saint Martin and Gregory of Tours were from Tours. Tours was once part of Touraine, a former provi ...
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SIGMOD
SIGMOD is the Association for Computing Machinery's Special Interest Group on Management of Data, which specializes in large-scale data management problems and databases. The annual ACM SIGMOD Conference, which began in 1975, is considered one of the most important in the field. While traditionally this conference had always been held within North America, it took place in Paris in 2004, Beijing in 2007, Athens in 2011, and Melbourne in 2015. The acceptance rate of the ACM SIGMOD Conference, averaged from 1996 to 2012, was 18%, and it was 17% in 2012. In association with SIGACT and SIGAI, SIGMOD also sponsors the annual ACM Symposium on Principles of Database Systems (PODS) conference on the theoretical aspects of database systems. PODS began in 1982, and has been held jointly with the SIGMOD conference since 1991. Each year, the group gives out several awards to contributions to the field of data management. The most important of these is the SIGMOD Edgar F. Codd Innovations ...
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Association For Computing Machinery
The Association for Computing Machinery (ACM) is a US-based international learned society for computing. It was founded in 1947 and is the world's largest scientific and educational computing society. The ACM is a non-profit professional membership group, reporting nearly 110,000 student and professional members . Its headquarters are in New York City. The ACM is an umbrella organization for academic and scholarly interests in computer science (informatics). Its motto is "Advancing Computing as a Science & Profession". History In 1947, a notice was sent to various people: On January 10, 1947, at the Symposium on Large-Scale Digital Calculating Machinery at the Harvard computation Laboratory, Professor Samuel H. Caldwell of Massachusetts Institute of Technology spoke of the need for an association of those interested in computing machinery, and of the need for communication between them. ..After making some inquiries during May and June, we believe there is ample interest to ...
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Autorité De Régulation Des Communications Électroniques, Des Postes Et De La Distribution De La Presse
The Autorité de Régulation des Communications Électroniques, des Postes et de la Distribution de la Presse (ARCEP or Arcep) is the French regulatory authority in charge of regulating telecommunications, postal services and print media distribution in France. It can be compared somewhat with the United States' Federal Communications Commission (FCC), though regulation of the radio spectrum falls to the ''Agence nationale des fréquences'' ( fr: ANFR), and regulation of audiovisual and digital communication falls to the '' Autorité de régulation de la communication audiovisuelle et numérique'' ( fr: Arcom) since the merger on 1 January 2022 of the former ''Conseil supérieur de l'audiovisuel'' ( fr: CSA) and the former '' Haute Autorité pour la diffusion des œuvres et la protection des droits sur internet'' ( fr: Hadopi). The ARCEP has its head office in 14 rue Gerty Archimède in Bercy, Paris, France. History ARCEP or Arcep is France's "Electronic Communications, Postal and Pr ...
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Victor Vianu
Victor Vianu is a computer scientist, a professor of computer science and engineering at the University of California, San Diego.Faculty profile
UCSD, retrieved 2011-03-21.
He served as editor-in-chief of the '''' from 2009 to 2015. Vianu did his graduate studies at the , earning his Ph.D. in 1983 under the supervision of



Citeseer
CiteSeerX (formerly called CiteSeer) is a public search engine and digital library for scientific and academic papers, primarily in the fields of computer and information science. CiteSeer's goal is to improve the dissemination and access of academic and scientific literature. As a non-profit service that can be freely used by anyone, it has been considered part of the open access movement that is attempting to change academic and scientific publishing to allow greater access to scientific literature. CiteSeer freely provided Open Archives Initiative metadata of all indexed documents and links indexed documents when possible to other sources of metadata such as DBLP and the ACM Portal. To promote open data, CiteSeerX shares its data for non-commercial purposes under a Creative Commons license. CiteSeer is considered a predecessor of academic search tools such as Google Scholar and Microsoft Academic Search. CiteSeer-like engines and archives usually only harvest documents fro ...
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Least Fixed Point
In order theory, a branch of mathematics, the least fixed point (lfp or LFP, sometimes also smallest fixed point) of a function from a partially ordered set ("poset" for short) to itself is the fixed point which is less than each other fixed point, according to the order of the poset. A function need not have a least fixed point, but if it does then the least fixed point is unique. Examples With the usual order on the real numbers, the least fixed point of the real function ''f''(''x'') = ''x''2 is ''x'' = 0 (since the only other fixed point is 1 and 0 < 1). In contrast, ''f''(''x'') = ''x'' + 1 has no fixed points at all, so has no least one, and ''f''(''x'') = ''x'' has infinitely many fixed points, but has no least one. Let G = (V, A) be a directed graph and v be a vertex. The

PSPACE
In computational complexity theory, PSPACE is the set of all decision problems that can be solved by a Turing machine using a polynomial amount of space. Formal definition If we denote by SPACE(''f''(''n'')), the set of all problems that can be solved by Turing machines using ''O''(''f''(''n'')) space for some function ''f'' of the input size ''n'', then we can define PSPACE formally asArora & Barak (2009) p.81 :\mathsf = \bigcup_ \mathsf(n^k). It turns out that allowing the Turing machine to be nondeterministic does not add any extra power. Because of Savitch's theorem,Arora & Barak (2009) p.85 NPSPACE is equivalent to PSPACE, essentially because a deterministic Turing machine can simulate a nondeterministic Turing machine without needing much more space (even though it may use much more time).Arora & Barak (2009) p.86 Also, the complements of all problems in PSPACE are also in PSPACE, meaning that co-PSPACE PSPACE. Relation among other classes The following re ...
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Polynomial Time
In theoretical computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that each elementary operation takes a fixed amount of time to perform. Thus, the amount of time taken and the number of elementary operations performed by the algorithm are taken to be related by a constant factor. Since an algorithm's running time may vary among different inputs of the same size, one commonly considers the worst-case time complexity, which is the maximum amount of time required for inputs of a given size. Less common, and usually specified explicitly, is the average-case complexity, which is the average of the time taken on inputs of a given size (this makes sense because there are only a finite number of possible inputs of a given size). In both cases, the time complexity is gener ...
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Collège De France
The (), formerly known as the or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment () in France. It is located in Paris near La Sorbonne. The has been considered to be France's most prestigious research establishment. It is an associate member of PSL University. Research and teaching are closely linked at the , whose ambition is to teach "the knowledge that is being built up in all fields of literature, science and the arts". Overview As of 2021, 21 Nobel Prize winners and 9 Fields Medalists have been affiliated with the Collège. It does not grant degrees. Each professor is required to give lectures where attendance is free and open to anyone. Professors, about 50 in number, are chosen by the professors themselves, from a variety of disciplines, in both science and the humanities. The motto of the Collège is ''Docet Omnia'', Latin for "It teaches everything"; its goal is to "teach science in the making" and ca ...
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Computer Science
Computer science is the study of computation, information, and automation. Computer science spans Theoretical computer science, theoretical disciplines (such as algorithms, theory of computation, and information theory) to Applied science, applied disciplines (including the design and implementation of Computer architecture, hardware and Software engineering, software). Algorithms and data structures are central to computer science. The theory of computation concerns abstract models of computation and general classes of computational problem, problems that can be solved using them. The fields of cryptography and computer security involve studying the means for secure communication and preventing security vulnerabilities. Computer graphics (computer science), Computer graphics and computational geometry address the generation of images. Programming language theory considers different ways to describe computational processes, and database theory concerns the management of re ...
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