# fixpoint

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**Kleene fixpoint theorem**— In the mathematical areas of order and lattice theory, the Kleene fixed point theorem, named after American mathematician Stephen Cole Kleene, states the following:: Let L be a complete partial order, and let f : L → L be a continuous (and… … Wikipedia**Knaster–Tarski theorem**— In the mathematical areas of order and lattice theory, the Knaster–Tarski theorem, named after Bronisław Knaster and Alfred Tarski, states the following:: Let L be a complete lattice and let f : L → L be an order preserving function. Then the set … Wikipedia**Data-flow analysis**— is a technique for gathering information about the possible set of values calculated at various points in a computer program. A program s control flow graph (CFG) is used to determine those parts of a program to which a particular value assigned… … Wikipedia**Complete partial order**— In mathematics, directed complete partial orders and ω complete partial orders (abbreviated to dcpo, ωcpo or sometimes just cpo) are special classes of partially ordered sets, characterized by particular completeness properties. Complete partial… … Wikipedia**Bisimulation**— In theoretical computer science a bisimulation is a binary relation between state transition systems, associating systems which behave in the same way in the sense that one system simulates the other and vice versa.Intuitively two systems are… … Wikipedia**Stratification (mathematics)**— Stratification has several usages in mathematics. In mathematical logic In mathematical logic, stratification is any consistent assignment of numbers to predicate symbols guaranteeing that a unique formal interpretationof a logical theory exists … Wikipedia**Least fixed point**— In order theory, a branch of mathematics, the least fixed point (lfp or LFP) of a function is the fixed point which is less than or equal to all other fixed points, according to some partial order. For example, the least fixed point of the real… … Wikipedia**Corecursion**— In computer science, corecursion is a type of operation that is dual to recursion. Corecursion and codata allow total languages to work with infinite data structures such as streams. Corecursion is often used in conjunction with lazy evaluation.… … Wikipedia**Eumel**— (pronounced oimel ) is an operating system which began as a run time environment for the Elan programming language. It was created in 1979 by Jochen Liedtke at theUniversity of Bielefeld. Eumel initially ran on the 8 bit Z80 processor, and was… … Wikipedia**Automatic sequence**— An automatic sequence is an infinite word characterized by a finite automaton. There are two equivalent definitions.Automaton point of viewLet q be an integer, and A =( E ,φ, e ) be a deterministic automaton where * E is the finite set of states… … Wikipedia