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Prefix order

In mathematics, especially order theory, a prefix ordered set generalizes the intuitive concept of a tree by introducing the possibility of continuous progress and continuous branching. Natural prefix orders often occur when considering dynamical systems as a set of functions from time (a totally-ordered set) to some phase space. In this case, the…

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Formal definition

Binary relationSetAntisymmetricTransitiveReflexive
5 related topics

Functions between prefix orders

Order-preserving functionsSurjectionsBisimulationRangePrefix closed
5 related topics

Product and union

CategoryDisjoint union
2 related topics

Isomorphism

Order isomorphism
1 related topics

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Overview

Formal definition

Functions between prefix orders

Product and union

Isomorphism

Advanced semantic analysis

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Map overview Semantic statistics

Prefix order

Nodes26
Edges25
Triples47
Avg. degree1.92
Density0.076923
Components1

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Prefix order

Top relations

related to References · 34
Prefix order → Cleaveland, Computation Structures, Computational Models, Computer Science, Cuijper, Cuijpers, DCM, Developments, Dynamics, Electronic Proceedings, EPTCS, Ferlez, Foundations, General Model, Generalized Synchronization Trees, International Workshop, ISBN, James, Lecture Notes, Lock-gray-alt-2
related to Functions between prefix orders · 6
Prefix order → Every, Furthermore, Given, In, Similarly, While
related to Product and union · 4
Prefix order → Cartesian, Instead, Taking, The
related to Isomorphism · 2
Prefix order → Any, Furthermore
is a · 1
Prefix order → binary relation

Important terminology Word statistics

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Important terminology

prefix set orders history preserving order functions function ordered systems tree find dynamical relation isomorphism given future science theory system

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Prefix orderis abinary relation0.90text
Prefix orderrelated to Functions between prefix ordersWhile0.60section
Prefix orderrelated to Functions between prefix ordersGiven0.60section
Prefix orderrelated to Functions between prefix ordersSimilarly0.60section
Prefix orderrelated to Functions between prefix ordersEvery0.60section
Prefix orderrelated to Functions between prefix ordersIn0.60section
Prefix orderrelated to Functions between prefix ordersFurthermore0.60section
Prefix orderrelated to IsomorphismAny0.60section
Prefix orderrelated to IsomorphismFurthermore0.60section
Prefix orderrelated to Product and unionTaking0.60section
Prefix orderrelated to Product and unionCartesian0.60section
Prefix orderrelated to Product and unionInstead0.60section

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    Min side: 3
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