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Rewriting Techniques And Applications
Rewriting Techniques and Applications (RTA) is an annual international academic conference on the topic of rewriting. It covers all aspects of rewriting, including termination, equational reasoning, theorem proving, higher-order rewriting, unification and the lambda calculus Lambda calculus (also written as ''λ''-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution. It is a universal model of computation .... The conference consists of peer-reviewed papers with the proceedings published by Springer in the LNCS series until 2009, and since then in the LIPIcs series published by the Leibniz-Zentrum für Informatik. Several rewriting-related workshops are also affiliated with RTA. The first RTA was held in Dijon, France in September 1983. RTA took part in the federated conferences Federated Logic Conference (FLoC) and Rewriting, Deduction, and Programming ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Conference
An academic conference or scientific conference (also congress, symposium, workshop, or meeting) is an event for researchers (not necessarily academics) to present and discuss their scholarly work. Together with academic or scientific journals and Preprint archives such as arXiv, conferences provide an important channel for exchange of information between researchers. Further benefits of participating in academic conferences include learning effects in terms of presentation skills and “academic habitus”, receiving feedback from peers for one’s own research, the possibility to engage in informal communication with peers about work opportunities and collaborations, and getting an overview of current research in one or more disciplines. Overview Conferences usually encompass various presentations. They tend to be short and concise, with a time span of about 10 to 30 minutes; presentations are usually followed by a . The work may be bundled in written form as academic pape ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rewriting
In mathematics, computer science, and logic, rewriting covers a wide range of methods of replacing subterms of a well-formed formula, formula with other terms. Such methods may be achieved by rewriting systems (also known as rewrite systems, rewrite engines, or reduction systems). In their most basic form, they consist of a set of objects, plus relations on how to transform those objects. Rewriting can be non-deterministic algorithm, non-deterministic. One rule to rewrite a term could be applied in many different ways to that term, or more than one rule could be applicable. Rewriting systems then do not provide an algorithm for changing one term to another, but a set of possible rule applications. When combined with an appropriate algorithm, however, rewrite systems can be viewed as computer programs, and several automated theorem proving, theorem provers and declarative programming languages are based on term rewriting. Example cases Logic In logic, the procedure for obtaini ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Termination Proof
Termination may refer to: Science * Termination (geomorphology), the period of time of relatively rapid change from cold, glacial conditions to warm interglacial condition * Termination factor, in genetics, part of the process of transcribing RNA * Termination type, in lithic reduction, a characteristic indicating the manner in which the distal end of a lithic flake detaches from a core * Chain termination, in chemistry, a chemical reaction which halts polymerization * Termination shock, in solar studies, a feature of the heliosphere *Terminating computation, in computer science ** Termination analysis, a form of program analysis in computer science ** Termination proof, a mathematical proof concerning the termination of a program **Termination (term rewriting), in particular for term rewriting systems Technology * Electrical termination, ending a wire or cable properly to prevent interference *Termination of wires to a ** Crimp connection **Electrical connector **Solder joint * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equational Reasoning
Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures. For instance, rather than take particular groups as the object of study, in universal algebra one takes the class of groups as an object of study. Basic idea In universal algebra, an algebra (or algebraic structure) is a set ''A'' together with a collection of operations on ''A''. An ''n''-ary operation on ''A'' is a function that takes ''n'' elements of ''A'' and returns a single element of ''A''. Thus, a 0-ary operation (or ''nullary operation'') can be represented simply as an element of ''A'', or a '' constant'', often denoted by a letter like ''a''. A 1-ary operation (or '' unary operation'') is simply a function from ''A'' to ''A'', often denoted by a symbol placed in front of its argument, like ~''x''. A 2-ary operation (or ''binary operation'') is often denoted by a symbol placed between its ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 and inference ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unification (computing)
In logic and computer science, unification is an algorithmic process of solving equations between symbolic expressions. Depending on which expressions (also called ''terms'') are allowed to occur in an equation set (also called ''unification problem''), and which expressions are considered equal, several frameworks of unification are distinguished. If higher-order variables, that is, variables representing functions, are allowed in an expression, the process is called higher-order unification, otherwise first-order unification. If a solution is required to make both sides of each equation literally equal, the process is called syntactic or free unification, otherwise semantic or equational unification, or E-unification, or unification modulo theory. A ''solution'' of a unification problem is denoted as a substitution, that is, a mapping assigning a symbolic value to each variable of the problem's expressions. A unification algorithm should compute for a given problem a ''complete ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lambda Calculus
Lambda calculus (also written as ''λ''-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution. It is a universal model of computation that can be used to simulate any Turing machine. It was introduced by the mathematician Alonzo Church in the 1930s as part of his research into the foundations of mathematics. Lambda calculus consists of constructing § lambda terms and performing § reduction operations on them. In the simplest form of lambda calculus, terms are built using only the following rules: * x – variable, a character or string representing a parameter or mathematical/logical value. * (\lambda x.M) – abstraction, function definition (M is a lambda term). The variable x becomes bound in the expression. * (M\ N) – application, applying a function M to an argument N. M and N are lambda terms. The reduction operations include: * (\lambda x.M \rightarrow(\l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Springer Science+Business Media
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology ". Springer Science+Business Media. In 1964, Springer expanded its business internationally, o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lecture Notes In Computer Science
''Lecture Notes in Computer Science'' is a series of computer science books published by Springer Science+Business Media since 1973. Overview The series contains proceedings, post-proceedings, monographs, and Festschrifts. In addition, tutorials, state-of-the-art surveys, and "hot topics" are increasingly being included. The series is indexed by DBLP. See also *''Monographiae Biologicae'', another monograph series published by Springer Science+Business Media *''Lecture Notes in Physics'' *''Lecture Notes in Mathematics'' *''Electronic Workshops in Computing ''Electronic Workshops in Computing'' (eWiC) is a publication series by the British Computer Society. The series provides free online access for conferences and workshops in the area of computing. For example, the EVA London Conference proceeding ...'', published by the British Computer Society References External links * Publications established in 1973 Computer science books Series of non-fiction books Springer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
LIPIcs
Dagstuhl is a computer science research center in Germany, located in and named after a district of the town of Wadern, Merzig-Wadern, Saarland. Location Following the model of the mathematical center at Oberwolfach, the center is installed in a very remote and relaxed location in the countryside. The Leibniz Center is located in a historic country house, Schloss Dagstuhl (Dagstuhl Castle), together with modern purpose-built buildings connected by an enclosed footbridge. The ruins of the 13th-century Dagstuhl Castle are nearby, a short walk up a hill from the Schloss. History The Leibniz-Zentrum für Informatik (LZI, ''Leibniz Center for Informatics'') was established at Dagstuhl in 1990. In 1993, the over 200-year-old building received a modern extension with other guest rooms, conference rooms and a library. The center is managed as a non-profit organization, and financed by national funds. It receives scientific support by a variety of German and foreign research institutio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dijon
Dijon (, , ) (dated) * it, Digione * la, Diviō or * lmo, Digion is the prefecture of the Côte-d'Or department and of the Bourgogne-Franche-Comté region in northeastern France. the commune had a population of 156,920. The earliest archaeological finds within the city limits of Dijon date to the Neolithic period. Dijon later became a Roman settlement named ''Divio'', located on the road between Lyon and Paris. The province was home to the Dukes of Burgundy from the early 11th until the late 15th centuries, and Dijon became a place of tremendous wealth and power, one of the great European centres of art, learning, and science. The city has retained varied architectural styles from many of the main periods of the past millennium, including Capetian, Gothic, and Renaissance. Many still-inhabited town-houses in the city's central district date from the 18th century and earlier. Dijon's architecture is distinguished by, among other things, '' toits bourguignons'' (Burgu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
