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Definitions of recursion:
  • noun:   (mathematics) an expression such that each term is generated by repeating a particular mathematical operation



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computer-science computability-theory-computer-science mathematical-logic computable-function turing-degree proof-theory effective-descriptive-set-theory natural-number computational-complexity-theory formal-methods formal-language kurt-g-del-2 alonzo-church alan-turing stephen-cole-kleene emil-leon-post church-turing-thesis-2 algorithm recursive-set entscheidungsproblem pyotr-sergeyevich-novikov word-problem-for-groups group identity-element yuri-matiyasevich diophantine-set hilbert-s-tenth-problem diophantine-equation list-of-undecidable-problems turing-machine model-of-computation recursive-function-2 halting-problem countable-set uncountable-set recursively-enumerable-set turing-reduction oracle-machine many-one-reduction simple-set limiting-recursive turing-jump post-s-theorem arithmetical-hierarchy reduction-recursion-theory injective-function truth-table-reduction cantor-space hyperarithmetical-theory reverse-mathematics second-order-arithmetic iff-2 maximal-set analytical-hierarchy set-theory first-order-predicate-calculus g-del-s-incompleteness-theorems tarski-s-indefinability-theorem peano-axioms partial-function primitive-recursive-arithmetic primitive-recursive-function ackermann-function goodstein-s-theorem robert-i-soare bijection erlangen-program association-for-symbolic-logic mathematical-reviews logic reason history-of-logic philosophical-logic philosophy-of-logic metalogic deductive-reasoning inductive-reasoning abductive-reasoning informal-logic proposition inference argue validity cogency term-logic critical-thinking fallacy syllogism set syntax-logic semantics-of-logic well-formed-formula axiom theorem consistency-proof soundness-4 complete-theory decidability formal-system model-theory