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Postdominator
In computer science, a node of a control-flow graph dominates a node if every path from the ''entry node'' to must go through . Notationally, this is written as (or sometimes ). By definition, every node dominates itself. There are a number of related concepts: * A node ''strictly dominates'' a node if dominates and does not equal . * The ''immediate dominator'' or idom of a node is the unique node that strictly dominates but does not strictly dominate any other node that strictly dominates . Every node reachable from the entry node has an immediate dominator (except the entry node). * The ''dominance frontier'' of a node is the set of all nodes such that dominates an immediate predecessor of , but does not strictly dominate . It is the set of nodes where 's dominance stops. * A ''dominator tree'' is a tree where each node's children are those nodes it immediately dominates. The start node is the root of the tree. History Dominance was first introduced by Re ...
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Control-flow Graph
In computer science, a control-flow graph (CFG) is a representation, using graph notation, of all paths that might be traversed through a program during its execution. The control-flow graph was conceived by Frances E. Allen, who noted that Reese T. Prosser used boolean connectivity matrices for flow analysis before. The CFG is essential to many compiler optimizations and static-analysis tools. Definition In a control-flow graph each node in the graph represents a basic block, i.e. a straight-line sequence of code with a single entry point and a single exit point, where no branches or jumps occur within the block. Basic blocks start with jump targets and end with jumps or branch instructions. Directed edges are used to represent jumps in the control flow. There are, in most presentations, two specially designated blocks: the ''entry block'', through which control enters into the flow graph, and the ''exit block'', through which all control flow leaves. Because of its c ...
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Dominator Tree
In computer science, a node of a control-flow graph dominates a node if every path from the ''entry node'' to must go through . Notationally, this is written as (or sometimes ). By definition, every node dominates itself. There are a number of related concepts: * A node ''strictly dominates'' a node if dominates and does not equal . * The ''immediate dominator'' or idom of a node is the unique node that strictly dominates but does not strictly dominate any other node that strictly dominates . Every node reachable from the entry node has an immediate dominator (except the entry node). * The ''dominance frontier'' of a node is the set of all nodes such that dominates an immediate predecessor of , but does not strictly dominate . It is the set of nodes where 's dominance stops. * A ''dominator tree'' is a tree where each node's children are those nodes it immediately dominates. The start node is the root of the tree. History Dominance was first introduced by Re ...
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Thomas Lengauer
Thomas Lengauer (born 12 November 1952) is a German computer scientist and computational biologist. Education Lengauer studied Mathematics at the Free University of Berlin, earning his Diploma in 1975 and a Dr. rer. nat. (equivalent to a PhD) in 1976. Lengauer later gained an MSc (1977) and a PhD (1979) in computer science, both from Stanford University. He received his habilitation degree in computer science at Saarland University in 1984. Work and research In the seventies and early eighties Lengauer performed research in Theoretical Computer Science at Stanford University, Bell Labs and Saarland University. In 1984 Lengauer became Professor of Computer Science at University of Paderborn. In the eighties and early nineties, Lengauer's research concentrated on discrete optimization methods for the design of integrated circuits and on packing problems in manufacturing. From 1992 to 2001 he was Professor of Computer Science at the University of Bonn and Director of the Institute ...
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Static Single Assignment Form
In compiler design, static single assignment form (often abbreviated as SSA form or simply SSA) is a type of intermediate representation (IR) where each variable is assigned exactly once. SSA is used in most high-quality optimizing compilers for imperative languages, including LLVM, the GNU Compiler Collection, and many commercial compilers. There are efficient algorithms for converting programs into SSA form. To convert to SSA, existing variables in the original IR are split into versions, new variables typically indicated by the original name with a subscript, so that every definition gets its own version. Additional statements that assign to new versions of variables may also need to be introduced at the join point of two control flow paths. Converting from SSA form to machine code is also efficient. SSA makes numerous analyses needed for optimizations easier to perform, such as determining use-define chains, because when looking at a use of a variable there is only one place ...
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Interval (graph Theory)
This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or vertices connected in pairs by lines or edges. Symbols A B C D E F G H I J K L M N ...
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Rice University
William Marsh Rice University, commonly referred to as Rice University, is a Private university, private research university in Houston, Houston, Texas, United States. Established in 1912, the university spans 300 acres. Rice University comprises eight undergraduate, graduate and professional schools, including Rice University School of Humanities, School of Humanities, Rice University School of Social Sciences, School of Social Sciences, Jesse H. Jones Graduate School of Business, George R. Brown School of Engineering, Wiess School of Natural Sciences, Susanne M. Glasscock School of Continuing Studies, Rice University School of Architecture, Rice School of Architecture, and Shepherd School of Music. Established as William M. Rice Institute for the Advancement of Literature, Science and Art after the murder of its namesake William Marsh Rice, Rice has been a member of the Association of American Universities since 1985 and is Carnegie Classification of Institutions of Higher ...
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Ken Kennedy (computer Scientist)
Ken Kennedy (August 12, 1945 – February 7, 2007) was an American computer scientist and professor at Rice University. He was the founding chairman of Rice's Computer Science Department. Kennedy directed the construction of several substantial software systems for programming parallel computing, parallel computers, including an automatic vectorization, automatic vectorizer for Fortran 77, an integrated scientific programming environment, compilers for Fortran 90 and High Performance Fortran, and a compilation system for domain languages based on the numerical computing environment MATLAB. He wrote over 200 articles and book chapters, plus numerous conference addresses. Kennedy was elected to the National Academy of Engineering in 1990. He was named a Fellow of the American Association for the Advancement of Science, AAAS in 1994 and of the Association for Computing Machinery, ACM and IEEE in 1995. In recognition of his achievements in compilation for high performance computer sys ...
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Keith D
Keith may refer to: People and fictional characters * Keith (given name), includes a list of people and fictional characters * Keith (surname) * Keith (singer), American singer James Keefer (born 1949) * Keith (gamer), American professional League of Legends player * Baron Keith, a line of Scottish barons in the late 18th century * Clan Keith, a Scottish clan associated with lands in northeastern and northwestern Scotland Places Australia * Keith, South Australia, a town and locality Scotland * Keith, Moray, a town ** Keith railway station * Keith Marischal, East Lothian United States * Keith, Georgia, an unincorporated community * Keith, Ohio, an unincorporated community * Keith, West Virginia, an unincorporated community * Keith, Wisconsin, a ghost town * Keith County, Nebraska Other uses * Keith F.C., a football team based in Keith, Scotland * , a ship of the British Royal Navy * Hurricane Keith, a 2000 hurricane that caused extensive damage in Central America * ...
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Robert Endre Tarjan
Robert Endre Tarjan (born April 30, 1948) is an American computer scientist and mathematician. He is the discoverer of several graph theory algorithms, including his strongly connected components algorithm, and co-inventor of both splay trees and Fibonacci heaps. Tarjan is currently the James S. McDonnell Distinguished University Professor of Computer Science at Princeton University. Personal life and education He was born in Pomona, California. His father, George Tarjan (1912–1991), raised in Hungary, was a child psychiatrist, specializing in mental retardation, and ran a state hospital. Robert Tarjan's younger brother James became a chess grandmaster. As a child, Robert Tarjan read a lot of science fiction, and wanted to be an astronomer. He became interested in mathematics after reading Martin Gardner's mathematical games column in Scientific American. He became seriously interested in math in the eighth grade, thanks to a "very stimulating" teacher. While he was in high ...
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Dominator Control Flow Graph
Dominator(s) may refer to: People *The Dominator, nickname for Mariusz Pudzianowski (Strongman and MMA fighter), a five-time World's Strongest Man *The Dominator, nickname for Wayne Johnston (born 1957), a Carlton footballer in Australia *The Dominator, nickname for Dominik Hašek, a Czech goalkeeper who played for HC Pardubice, Chicago Blackhawks, Buffalo Sabres, Detroit Red Wings and Ottawa Senators *Dominator, also known as Nils Fjellström, the drummer for Dark Funeral, Myrkskog, The Wretched End and ex-drummer for Aeon Music * ''Dominator'' (Cloven Hoof album), an album by metal band Cloven Hoof * ''Dominator'' (W.A.S.P. album), an album by metal band W.A.S.P. * ''Dominator'' (The Time Frequency album), an album by Scottish techno band The Time Frequency * ''Dominator'' (U.D.O. album), an album by metal band U.D.O. * "Dominator" (Human Resource song), a 1991 Human Resource song * Geraint Watkins & the Dominators, British band * Dominator, music festival of Q-dance ...
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Quadratic Growth
In mathematics, a function or sequence is said to exhibit quadratic growth when its values are proportional to the square of the function argument or sequence position. "Quadratic growth" often means more generally "quadratic growth in the limit", as the argument or sequence position goes to infinity – in big Theta notation, f(x)=\Theta(x^2). This can be defined both continuously (for a real-valued function of a real variable) or discretely (for a sequence of real numbers, i.e., real-valued function of an integer or natural number variable). Examples Examples of quadratic growth include: *Any quadratic polynomial. *Certain integer sequences such as the triangular numbers. The nth triangular number has value n(n+1)/2, approximately n^2/2. For a real function of a real variable, quadratic growth is equivalent to the second derivative being constant (i.e., the third derivative being zero), and thus functions with quadratic growth are exactly the quadratic polynomials, as the ...
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