finite hierarchy
1Finite-state machine — State machine redirects here. For infinite state machines, see State transition system. For fault tolerance methodology, see State machine replication. SFSM redirects here. For the Italian railway company, see Circumvesuviana. A finite state… …
2Hierarchy — A hierarchy (Greek: hierarchia (ἱεραρχία), from hierarches, leader of sacred rites ) is an arrangement of items (objects, names, values, categories, etc.) in which the items are represented as being above, below, or at the same level as one… …
3Chomsky hierarchy — Within the field of computer science, specifically in the area of formal languages, the Chomsky hierarchy (occasionally referred to as Chomsky–Schützenberger hierarchy) is a containment hierarchy of classes of formal grammars. This hierarchy of… …
4Arithmetical hierarchy — In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene hierarchy classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The… …
5Borel hierarchy — In mathematical logic, the Borel hierarchy is a stratification of the Borel algebra generated by the open subsets of a Polish space; elements of this algebra are called Borel sets. Each Borel set is assigned a unique countable ordinal number… …
6Analytical hierarchy — In mathematical logic and descriptive set theory, the analytical hierarchy is a higher type analogue of the arithmetical hierarchy. It thus continues the classification of sets by the formulas that define them. The analytical hierarchy of… …
7Deterministic finite-state machine — An example of a Deterministic Finite Automaton that accepts only binary numbers that are multiples of 3. The state S0 is both the start state and an accept state. In the theory of computation and automata theory, a deterministic finite state… …
8Nondeterministic finite-state machine — In the theory of computation, a nondeterministic finite state machine or nondeterministic finite automaton (NFA) is a finite state machine where for each pair of state and input symbol there may be several possible next states. This distinguishes …
9Chomsky hierarchy — A series of increasingly complex and comprehensive classes of formal languages. The simplest are finite state languages, followed by context free, context sensitive, recursive, and recursively enumerable languages. The descriptions refer to the… …
10Micro-Mechanics of Failure — Figure 1. Hierarchy of micromechanics based analysis procedure for composite structures. Micro Mechanics of Failure (MMF) is a newly proposed methodology, providing a more logical explanation of failure mechanism of continuous f …
