Research Institute For Symbolic Computation
The Research Institute for Symbolic Computation (RISC Linz) is a research institute in the area of symbolic computation, including automated theorem proving and computer algebra. It is located in Schloß Hagenberg in Hagenberg near Linz in Austria. RISC was founded in 1987 under Bruno Buchberger Bruno Buchberger (born 22 October 1942) is Professor of Computer Mathematics at Johannes Kepler University in Linz, Austria. In his 1965 Ph.D. thesis, he created the theory of Gröbner bases, and has developed this theory throughout his career. H ... and moved to Hagenberg in 1989. The present chairman of RISC is Peter Paule. External links RISC LinzSoftwarepark Hagenberg Computer science organizations {{compsci-stub ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Symbolic Computation
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. Although computer algebra could be considered a subfield of scientific computing, they are generally considered as distinct fields because scientific computing is usually based on numerical computation with approximate floating point numbers, while symbolic computation emphasizes ''exact'' computation with expressions containing variables that have no given value and are manipulated as symbols. Software applications that perform symbolic calculations are called '' computer algebra systems'', with the term ''system'' alluding to the complexity of the main applications that include, at least, a method to represent mathematical data in a computer, a user programming language (usually different from the l ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Automated Theorem Proving
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major impetus for the development of computer science. Logical foundations While the roots of formalised logic go back to Aristotle, the end of the 19th and early 20th centuries saw the development of modern logic and formalised mathematics. Frege's '' Begriffsschrift'' (1879) introduced both a complete propositional calculus and what is essentially modern predicate logic. His ''Foundations of Arithmetic'', published 1884, expressed (parts of) mathematics in formal logic. This approach was continued by Russell and Whitehead in their influential '' Principia Mathematica'', first published 1910–1913, and with a revised second edition in 1927. Russell and Whitehead thought they could derive all mathematical truth using axioms an ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Computer Algebra
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. Although computer algebra could be considered a subfield of scientific computing, they are generally considered as distinct fields because scientific computing is usually based on numerical computation with approximate floating point numbers, while symbolic computation emphasizes ''exact'' computation with expressions containing variables that have no given value and are manipulated as symbols. Software applications that perform symbolic calculations are called '' computer algebra systems'', with the term ''system'' alluding to the complexity of the main applications that include, at least, a method to represent mathematical data in a computer, a user programming language (usually different from the la ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Linz
Linz ( , ; cs, Linec) is the capital of Upper Austria and third-largest city in Austria. In the north of the country, it is on the Danube south of the Czech border. In 2018, the population was 204,846. In 2009, it was a European Capital of Culture. Geography Linz is in the centre of Europe, lying on the Paris–Budapest west–east axis and the Malmö– Trieste north–south axis. The Danube is the main tourism and transport connection that runs through the city. Approximately 29.27% of the city's wide area is grassland. A further 17.95% are covered with forest. All the rest areas fall on water (6.39%), traffic areas and land. Districts Since January 2014 the city has been divided into 16 statistical districts: Before 2014 Linz was divided into nine districts and 36 statistical quarters. They were: #Ebelsberg #Innenstadt: Altstadtviertel, Rathausviertel, Kaplanhofviertel, Neustadtviertel, Volksgartenviertel, Römerberg-Margarethen #Kleinmünchen: Kleinmünchen, ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Austria
Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous city and state. A landlocked country, Austria is bordered by Germany to the northwest, the Czech Republic to the north, Slovakia to the northeast, Hungary to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the west. The country occupies an area of and has a population of 9 million. Austria emerged from the remnants of the Eastern and Hungarian March at the end of the first millennium. Originally a margraviate of Bavaria, it developed into a duchy of the Holy Roman Empire in 1156 and was later made an archduchy in 1453. In the 16th century, Vienna began serving as the empire's administrative capital and Austria thus became the heartland of the Habsburg monarchy. After the dissolution of th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Bruno Buchberger
Bruno Buchberger (born 22 October 1942) is Professor of Computer Mathematics at Johannes Kepler University in Linz, Austria. In his 1965 Ph.D. thesis, he created the theory of Gröbner bases, and has developed this theory throughout his career. He named these objects after his advisor Wolfgang Gröbner. Since 1995, he has been active in the Theorema project at the University of Linz. Career In 1987 Buchberger founded and chaired the Research Institute for Symbolic Computation (RISC) at Johannes Kepler University. In 1985 he started the Journal of Symbolic Computation, which has now become the premier publication in the field of computer algebra. Buchberger also conceived Softwarepark Hagenberg in 1989 and since then has been directing the expansion of this Austrian technology park for software. In 2014 he became a member of the ''Global Digital Mathematical Library Working Group'' of the IMU. Awards *Wilhelm Exner Medal (1995). *Paris Kanellakis Theory and Practice Award (2 ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Peter Paule
Peter Paule is an Austrian mathematician who works in symbolic computation and its connections to combinatorics, number theory, and special functions. Since 1990 he has held a faculty position at the Research Institute for Symbolic Computation of the Johannes Kepler University of Linz, and since 2009 he has directed the Institute.Curriculum vitae retrieved 2015-01-15. Paule earned his doctorate from the in 1982 under the supervision of Johann Cigler, and earned a from Johannes Kepler University in 1996. He is a member of the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |