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<Text-field style="Heading 1" layout="Normal"><Font encoding="UTF-8">algor\303\255tmo</Font></Text-field>
<Text-field style="Text" layout="Normal">ou <Font bold="true">algorism</Font>, <Font italic="true">n.</Font> <Font bold="true">1.</Font><Font encoding="UTF-8"> um procedimento passo-a-passo no qual uma opera\303\247\303\243o pode ser efetuada sem nenhum exerc\303\255cio de intelig\303\252ncia, por exemplo, por uma m\303\241quina; formalmente, uma especifica\303\247\303\243o </Font><Hyperlink linktarget="Dictionary:Definition/recursive" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">recursiva</Font></Hyperlink><Font encoding="UTF-8"> de um procedimento no qual um dado tipo de problema pode ser resolvido em um n\303\272mero finito de passos mec\303\242nicos. Algoritmos simples familiares na aritm\303\251tica elementar s\303\243o aqueles usados na extra\303\247\303\243o de ra\303\255zes quadradas e em uma longa divis\303\243o. O problema de quanto de matem\303\241tica pode ser descrita em tais termos \303\251 assunto da </Font><Hyperlink linktarget="Dictionary:Definition/computabilitytheory" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">teoria da computabilidade</Font></Hyperlink>, e o <Hyperlink linktarget="Dictionary:Definition/Hilbertsprogram" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">programa de Hilbert</Font></Hyperlink><Font encoding="UTF-8"> foi em ess\303\252ncia uma tentativa de demonstrar que toda matem\303\241tica foi recuperada de algoritmos que operam sobre cadeias de s\303\255mbolos matem\303\241ticos. Veja </Font><Hyperlink linktarget="Dictionary:Definition/automatatheory" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">teoria automata</Font></Hyperlink><Font encoding="UTF-8">.  Veja tamb\303\251m </Font><Hyperlink linktarget="Dictionary:Definition/Godelsproof" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">teorema de G\303\266del</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/Turingmachine" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">m\303\241quina de Turing</Font></Hyperlink>. <Font bold="true">2.</Font><Font encoding="UTF-8"> uma defini\303\247\303\243o recursiva permitindo qualquer membro de uma sequ\303\252ncia infinita de termos ser gerado pela repeti\303\247\303\243o de sua aplica\303\247\303\243o.</Font></Text-field>
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