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Words starting with completetheo

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  • complete graph — A graph which has a link between every pair of nodes. A complete bipartite graph can be partitioned into two subsets of nodes such that each node is joined to every node in the other subset.
  • complete inference system — (logic)   An inference system A is complete with respect to another system B if A can reach every conclusion which is true in B. The dual to completeness is soundness.
  • complete lattice — A lattice is a partial ordering of a set under a relation where all finite subsets have a least upper bound and a greatest lower bound. A complete lattice also has these for infinite subsets. Every finite lattice is complete. Some authors drop the requirement for greatest lower bounds.
  • complete metric space — (theory)   A metric space in which every sequence that converges in itself has a limit. For example, the space of real numbers is complete by Dedekind's axiom, whereas the space of rational numbers is not - e.g. the sequence a[0]=1; a[n_+1]:=a[n]/2+1/a[n].
  • complete partial ordering — (theory)   (cpo) A partial ordering of a set under a relation, where all directed subsets have a least upper bound. A cpo is usually defined to include a least element, bottom (David Schmidt calls this a pointed cpo). A cpo which is algebraic and boundedly complete is a (Scott) domain.
  • complete theory — (logic)   An abstract logical theory in which all true statements have formal proofs within the theory.
  • complete unification — (programming)   W.P. Weijland's name for unification without occur check.
  • completement — (obsolete) Act of completing or perfecting; completion.
  • completes — Third-person singular simple present indicative form of complete.
  • completest — Superlative form of complete.