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Turingen makina - Wikipedia, entziklopedia askea.

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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Hasi saioa</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Izena eman gabeko erabiltzaileentzako orrialdeak <a href="/wiki/Laguntza:Sarrera" aria-label="Artikuluak aldatzeari buruz gehiago ikasi"><span>gehiago ikasi</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Berezi:NireEkarpenak" title="IP helbide honetatik egindako aldaketen zerrenda [y]" accesskey="y"><span>Ekarpenak</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Berezi:NireEztabaida" title="Zure IParen eztabaida [n]" accesskey="n"><span>Eztabaida</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div 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class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Deskribapena</span> </div> </a> <ul id="toc-Deskribapena-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Erreferentziak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Erreferentziak"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Erreferentziak</span> </div> </a> <ul id="toc-Erreferentziak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bibliografia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Bibliografia"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Bibliografia</span> </div> </a> <ul id="toc-Bibliografia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kanpo_estekak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kanpo_estekak"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Kanpo estekak</span> </div> </a> <ul id="toc-Kanpo_estekak-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Edukiak" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Eduki taularen ikusgarritasuna aldatu" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Eduki taularen ikusgarritasuna aldatu</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Turingen makina</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Joan beste hizkuntza batean idatzitako artikulu batera. 66 hizkuntzatan eskuragarri." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-66" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">66 hizkuntza</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Turingmaschine" title="Turingmaschine – Suitzako alemana" lang="gsw" hreflang="gsw" data-title="Turingmaschine" data-language-autonym="Alemannisch" data-language-local-name="Suitzako alemana" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A2%D9%84%D8%A9_%D8%AA%D9%88%D8%B1%D9%86%D8%BA" title="آلة تورنغ – arabiera" lang="ar" hreflang="ar" data-title="آلة تورنغ" data-language-autonym="العربية" data-language-local-name="arabiera" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D1%88%D1%8B%D0%BD%D0%B0_%D0%A6%D1%8C%D1%8E%D1%80%D1%8B%D0%BD%D0%B3%D0%B0" title="Машына Цьюрынга – bielorrusiera" lang="be" hreflang="be" data-title="Машына Цьюрынга" data-language-autonym="Беларуская" data-language-local-name="bielorrusiera" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%B0%D1%88%D1%8B%D0%BD%D0%B0_%D0%A2%E2%80%99%D1%8E%D1%80%D1%8B%D0%BD%D0%B3%D0%B0" title="Машына Т’юрынга – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Машына Т’юрынга" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B0%D1%88%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D0%A2%D1%8E%D1%80%D0%B8%D0%BD%D0%B3" title="Машина на Тюринг – bulgariera" lang="bg" hreflang="bg" data-title="Машина на Тюринг" data-language-autonym="Български" data-language-local-name="bulgariera" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Turingova_ma%C5%A1ina" title="Turingova mašina – bosniera" lang="bs" hreflang="bs" data-title="Turingova mašina" data-language-autonym="Bosanski" data-language-local-name="bosniera" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/M%C3%A0quina_de_Turing" title="Màquina de Turing – katalana" lang="ca" hreflang="ca" data-title="Màquina de Turing" data-language-autonym="Català" data-language-local-name="katalana" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%85%DB%95%DA%A9%DB%8C%D9%86%DB%95%DB%8C_%D8%AA%DB%8C%D9%88%D8%B1%DB%8C%D9%86%DA%AF" title="مەکینەی تیورینگ – erdialdeko kurduera" lang="ckb" hreflang="ckb" data-title="مەکینەی تیورینگ" data-language-autonym="کوردی" data-language-local-name="erdialdeko kurduera" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Turing%C5%AFv_stroj" title="Turingův stroj – txekiera" lang="cs" hreflang="cs" data-title="Turingův stroj" data-language-autonym="Čeština" data-language-local-name="txekiera" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Turingmaskine" title="Turingmaskine – daniera" lang="da" hreflang="da" data-title="Turingmaskine" data-language-autonym="Dansk" data-language-local-name="daniera" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Turingmaschine" title="Turingmaschine – alemana" lang="de" hreflang="de" data-title="Turingmaschine" data-language-autonym="Deutsch" data-language-local-name="alemana" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%B7%CF%87%CE%B1%CE%BD%CE%AE_%CE%A4%CE%BF%CF%8D%CF%81%CE%B9%CE%BD%CE%B3%CE%BA" title="Μηχανή Τούρινγκ – greziera" lang="el" hreflang="el" data-title="Μηχανή Τούρινγκ" data-language-autonym="Ελληνικά" data-language-local-name="greziera" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Turing_machine" title="Turing machine – ingelesa" lang="en" hreflang="en" data-title="Turing machine" data-language-autonym="English" data-language-local-name="ingelesa" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Ma%C5%9Dino_de_Turing" title="Maŝino de Turing – esperantoa" lang="eo" hreflang="eo" data-title="Maŝino de Turing" data-language-autonym="Esperanto" data-language-local-name="esperantoa" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/M%C3%A1quina_de_Turing" title="Máquina de Turing – gaztelania" lang="es" hreflang="es" data-title="Máquina de Turing" data-language-autonym="Español" data-language-local-name="gaztelania" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Turingi_masin" title="Turingi masin – estoniera" lang="et" hreflang="et" data-title="Turingi masin" data-language-autonym="Eesti" data-language-local-name="estoniera" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%A7%D8%B4%DB%8C%D9%86_%D8%AA%D9%88%D8%B1%DB%8C%D9%86%DA%AF" title="ماشین تورینگ – persiera" lang="fa" hreflang="fa" data-title="ماشین تورینگ" data-language-autonym="فارسی" data-language-local-name="persiera" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Turingin_kone" title="Turingin kone – finlandiera" lang="fi" hreflang="fi" data-title="Turingin kone" data-language-autonym="Suomi" data-language-local-name="finlandiera" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Machine_de_Turing" title="Machine de Turing – frantsesa" lang="fr" hreflang="fr" data-title="Machine de Turing" data-language-autonym="Français" data-language-local-name="frantsesa" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/Machine_di_Turing" title="Machine di Turing – friulera" lang="fur" hreflang="fur" data-title="Machine di Turing" data-language-autonym="Furlan" data-language-local-name="friulera" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Meais%C3%ADn_Turing" title="Meaisín Turing – irlandera" lang="ga" hreflang="ga" data-title="Meaisín Turing" data-language-autonym="Gaeilge" data-language-local-name="irlandera" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/M%C3%A1quina_de_Turing" title="Máquina de Turing – galiziera" lang="gl" hreflang="gl" data-title="Máquina de Turing" data-language-autonym="Galego" data-language-local-name="galiziera" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%9B%D7%95%D7%A0%D7%AA_%D7%98%D7%99%D7%95%D7%A8%D7%99%D7%A0%D7%92" title="מכונת טיורינג – hebreera" lang="he" hreflang="he" data-title="מכונת טיורינג" data-language-autonym="עברית" data-language-local-name="hebreera" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Turingov_stroj" title="Turingov stroj – kroaziera" lang="hr" hreflang="hr" data-title="Turingov stroj" data-language-autonym="Hrvatski" data-language-local-name="kroaziera" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Turing-g%C3%A9p" title="Turing-gép – hungariera" lang="hu" hreflang="hu" data-title="Turing-gép" data-language-autonym="Magyar" data-language-local-name="hungariera" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B9%D5%B5%D5%B8%D6%82%D6%80%D5%AB%D5%B6%D5%A3%D5%AB_%D5%B4%D5%A5%D6%84%D5%A5%D5%B6%D5%A1" title="Թյուրինգի մեքենա – armeniera" lang="hy" hreflang="hy" data-title="Թյուրինգի մեքենա" data-language-autonym="Հայերեն" data-language-local-name="armeniera" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Machina_de_Turing" title="Machina de Turing – interlingua" lang="ia" hreflang="ia" data-title="Machina de Turing" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Mesin_Turing" title="Mesin Turing – indonesiera" lang="id" hreflang="id" data-title="Mesin Turing" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiera" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Mashino_di_Turing" title="Mashino di Turing – idoa" lang="io" hreflang="io" data-title="Mashino di Turing" data-language-autonym="Ido" data-language-local-name="idoa" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Macchina_di_Turing" title="Macchina di Turing – italiera" lang="it" hreflang="it" data-title="Macchina di Turing" data-language-autonym="Italiano" data-language-local-name="italiera" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%81%E3%83%A5%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0%E3%83%9E%E3%82%B7%E3%83%B3" title="チューリングマシン – japoniera" lang="ja" hreflang="ja" data-title="チューリングマシン" data-language-autonym="日本語" data-language-local-name="japoniera" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A2%E1%83%A3%E1%83%A0%E1%83%98%E1%83%9C%E1%83%92%E1%83%98%E1%83%A1_%E1%83%9B%E1%83%90%E1%83%9C%E1%83%A5%E1%83%90%E1%83%9C%E1%83%90" title="ტურინგის მანქანა – georgiera" lang="ka" hreflang="ka" data-title="ტურინგის მანქანა" data-language-autonym="ქართული" data-language-local-name="georgiera" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ki mw-list-item"><a href="https://ki.wikipedia.org/wiki/Macini_ya_Turing" title="Macini ya Turing – kikuyuera" lang="ki" hreflang="ki" data-title="Macini ya Turing" data-language-autonym="Gĩkũyũ" data-language-local-name="kikuyuera" class="interlanguage-link-target"><span>Gĩkũyũ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%8A%9C%EB%A7%81_%EA%B8%B0%EA%B3%84" title="튜링 기계 – koreera" lang="ko" hreflang="ko" data-title="튜링 기계" data-language-autonym="한국어" data-language-local-name="koreera" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Machina_Turing" title="Machina Turing – latina" lang="la" hreflang="la" data-title="Machina Turing" data-language-autonym="Latina" data-language-local-name="latina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Turingmaschinn" title="Turingmaschinn – luxenburgera" lang="lb" hreflang="lb" data-title="Turingmaschinn" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxenburgera" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Macchina_del_Turing" title="Macchina del Turing – Lombard" lang="lmo" hreflang="lmo" data-title="Macchina del Turing" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Tiuringo_ma%C5%A1ina" title="Tiuringo mašina – lituaniera" lang="lt" hreflang="lt" data-title="Tiuringo mašina" data-language-autonym="Lietuvių" data-language-local-name="lituaniera" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Tj%C5%ABringa_ma%C5%A1%C4%ABna" title="Tjūringa mašīna – letoniera" lang="lv" hreflang="lv" data-title="Tjūringa mašīna" data-language-autonym="Latviešu" data-language-local-name="letoniera" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A2%D1%98%D1%83%D1%80%D0%B8%D0%BD%D0%B3%D0%BE%D0%B2%D0%B0_%D0%BC%D0%B0%D1%88%D0%B8%D0%BD%D0%B0" title="Тјурингова машина – mazedoniera" lang="mk" hreflang="mk" data-title="Тјурингова машина" data-language-autonym="Македонски" data-language-local-name="mazedoniera" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%9F%E0%B5%82%E0%B4%B1%E0%B4%BF%E0%B4%99%E0%B5%8D_%E0%B4%AE%E0%B5%86%E0%B4%B7%E0%B5%80%E0%B5%BB" title="ടൂറിങ് മെഷീൻ – malabarera" lang="ml" hreflang="ml" data-title="ടൂറിങ് മെഷീൻ" data-language-autonym="മലയാളം" data-language-local-name="malabarera" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/M%C3%A1quina_de_Turing" title="Máquina de Turing – mirandesa" lang="mwl" hreflang="mwl" data-title="Máquina de Turing" data-language-autonym="Mirandés" data-language-local-name="mirandesa" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Turingmachine" title="Turingmachine – nederlandera" lang="nl" hreflang="nl" data-title="Turingmachine" data-language-autonym="Nederlands" data-language-local-name="nederlandera" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Turingmaskin" title="Turingmaskin – nynorsk (norvegiera)" lang="nn" hreflang="nn" data-title="Turingmaskin" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorsk (norvegiera)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Turingmaskin" title="Turingmaskin – bokmål (norvegiera)" lang="nb" hreflang="nb" data-title="Turingmaskin" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål (norvegiera)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Maquina_de_Turing" title="Maquina de Turing – okzitaniera" lang="oc" hreflang="oc" data-title="Maquina de Turing" data-language-autonym="Occitan" data-language-local-name="okzitaniera" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Maszyna_Turinga" title="Maszyna Turinga – poloniera" lang="pl" hreflang="pl" data-title="Maszyna Turinga" data-language-autonym="Polski" data-language-local-name="poloniera" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/M%C3%A1quina_de_Turing" title="Máquina de Turing – portugesa" lang="pt" hreflang="pt" data-title="Máquina de Turing" data-language-autonym="Português" data-language-local-name="portugesa" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Ma%C8%99in%C4%83_Turing" title="Mașină Turing – errumaniera" lang="ro" hreflang="ro" data-title="Mașină Turing" data-language-autonym="Română" data-language-local-name="errumaniera" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D1%88%D0%B8%D0%BD%D0%B0_%D0%A2%D1%8C%D1%8E%D1%80%D0%B8%D0%BD%D0%B3%D0%B0" title="Машина Тьюринга – errusiera" lang="ru" hreflang="ru" data-title="Машина Тьюринга" data-language-autonym="Русский" data-language-local-name="errusiera" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Turingov_stroj" title="Turingov stroj – serbokroaziera" lang="sh" hreflang="sh" data-title="Turingov stroj" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroaziera" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Turing_machine" title="Turing machine – Simple English" lang="en-simple" hreflang="en-simple" data-title="Turing machine" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Turingov_stroj" title="Turingov stroj – eslovakiera" lang="sk" hreflang="sk" data-title="Turingov stroj" data-language-autonym="Slovenčina" data-language-local-name="eslovakiera" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Turingov_stroj" title="Turingov stroj – esloveniera" lang="sl" hreflang="sl" data-title="Turingov stroj" data-language-autonym="Slovenščina" data-language-local-name="esloveniera" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Makina_Turing" title="Makina Turing – albaniera" lang="sq" hreflang="sq" data-title="Makina Turing" data-language-autonym="Shqip" data-language-local-name="albaniera" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A2%D1%98%D1%83%D1%80%D0%B8%D0%BD%D0%B3%D0%BE%D0%B2%D0%B0_%D0%BC%D0%B0%D1%88%D0%B8%D0%BD%D0%B0" title="Тјурингова машина – serbiera" lang="sr" hreflang="sr" data-title="Тјурингова машина" data-language-autonym="Српски / srpski" data-language-local-name="serbiera" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Turingmaskin" title="Turingmaskin – suediera" lang="sv" hreflang="sv" data-title="Turingmaskin" data-language-autonym="Svenska" data-language-local-name="suediera" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%84%E0%B8%A3%E0%B8%B7%E0%B9%88%E0%B8%AD%E0%B8%87%E0%B8%97%E0%B8%B1%E0%B8%A7%E0%B8%A3%E0%B8%B4%E0%B8%87" title="เครื่องทัวริง – thailandiera" lang="th" hreflang="th" data-title="เครื่องทัวริง" data-language-autonym="ไทย" data-language-local-name="thailandiera" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Makinang_Turing" title="Makinang Turing – tagaloa" lang="tl" hreflang="tl" data-title="Makinang Turing" data-language-autonym="Tagalog" data-language-local-name="tagaloa" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Turing_makinesi" title="Turing makinesi – turkiera" lang="tr" hreflang="tr" data-title="Turing makinesi" data-language-autonym="Türkçe" data-language-local-name="turkiera" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%88%D0%B8%D0%BD%D0%B0_%D0%A2%D1%8E%D1%80%D1%96%D0%BD%D0%B3%D0%B0" title="Машина Тюрінга – ukrainera" lang="uk" hreflang="uk" data-title="Машина Тюрінга" data-language-autonym="Українська" data-language-local-name="ukrainera" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/M%C3%A1y_Turing" title="Máy Turing – vietnamera" lang="vi" hreflang="vi" data-title="Máy Turing" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamera" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%9B%BE%E7%81%B5%E6%9C%BA" title="图灵机 – wu txinera" lang="wuu" hreflang="wuu" data-title="图灵机" data-language-autonym="吴语" data-language-local-name="wu txinera" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%9B%BE%E7%81%B5%E6%9C%BA" title="图灵机 – txinera" lang="zh" hreflang="zh" data-title="图灵机" data-language-autonym="中文" data-language-local-name="txinera" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Turing_ki-h%C3%A2i" title="Turing ki-hâi – Minnan" lang="nan" hreflang="nan" data-title="Turing ki-hâi" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%9C%96%E9%9D%88%E6%A9%9F" title="圖靈機 – kantonera" lang="yue" hreflang="yue" data-title="圖靈機" data-language-autonym="粵語" data-language-local-name="kantonera" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q163310#sitelinks-wikipedia" title="Aldatu hizkuntzen arteko loturak" class="wbc-editpage">Aldatu loturak</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Izen-tarteak"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Turingen_makina" title="Eduki orrialdea ikusi [c]" accesskey="c"><span>Artikulua</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Eztabaida:Turingen_makina&amp;action=edit&amp;redlink=1" rel="discussion" class="new" title="Artikuluari buruzko eztabaida (sortu gabe) [t]" accesskey="t"><span>Eztabaida</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Aldatu hizkuntza aldaera" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">euskara</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Ikusketak"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Turingen_makina"><span>Irakurri</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;action=history" title="Artikulu honen aurreko bertsioak. [h]" accesskey="h"><span>Ikusi historia</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tresnak" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tresnak</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Tresnak</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ezkutatu</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Ekintzak </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Turingen_makina"><span>Irakurri</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;action=history"><span>Ikusi historia</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Orokorra </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Berezi:ZerkLotzenDuHona/Turingen_makina" title="Orri honetaranzko esteka duten wiki orri guztien zerrenda [j]" accesskey="j"><span>Honanzko esteka duten orriak</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Berezi:RecentChangesLinked/Turingen_makina" rel="nofollow" title="Orri honetatik esteka duten orrietako azken aldaketak [k]" accesskey="k"><span>Lotutako orrietako aldaketak</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=eu" title="Irudiak edo media fitxategiak igo [u]" accesskey="u"><span>Fitxategia igo</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Berezi:OrrialdeBereziak" title="Orri berezi guztien zerrenda [q]" accesskey="q"><span>Orri bereziak</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;oldid=9367240" title="Orriaren bertsio honetaranzko esteka iraunkorra"><span>Lotura iraunkorra</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;action=info" title="Orrialde honi buruzko informazio gehiago"><span>Orri honen datuak</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Berezi:CiteThisPage&amp;page=Turingen_makina&amp;id=9367240&amp;wpFormIdentifier=titleform" title="Orri honen aipua egiteko moduari buruzko informazioa"><span>Artikulu hau aipatu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Berezi:UrlShortener&amp;url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FTuringen_makina"><span>URL laburra lortu</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Berezi:QrCode&amp;url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FTuringen_makina"><span>QR kodea jaitsi</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Inprimatu/esportatu </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Berezi:Book&amp;bookcmd=book_creator&amp;referer=Turingen+makina"><span>Liburu bat sortu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Berezi:DownloadAsPdf&amp;page=Turingen_makina&amp;action=show-download-screen"><span>Deskargatu PDF formatuan</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Turingen_makina&amp;printable=yes" title="Orrialde honen bertsio inprimagarria [p]" accesskey="p"><span>Inprimatzeko bertsioa</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Beste proiektuetan </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Turing_Machine" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q163310" title="Datuen biltegi elementu batera lotuta [g]" accesskey="g"><span>Wikidata itema</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Itxura"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Itxura</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ezkutatu</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Wikipedia, Entziklopedia askea</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="eu" dir="ltr"><figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Automaten_Teoria.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Automaten_Teoria.png/242px-Automaten_Teoria.png" decoding="async" width="242" height="182" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Automaten_Teoria.png/363px-Automaten_Teoria.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Automaten_Teoria.png/484px-Automaten_Teoria.png 2x" data-file-width="718" data-file-height="539" /></a><figcaption>Automata klaseak.</figcaption></figure> <p><b>Turing-en makina</b> edo <b>Turing makina</b> <a href="/w/index.php?title=Makina_abstraktu&amp;action=edit&amp;redlink=1" class="new" title="Makina abstraktu (sortu gabe)">makina abstraktu</a> bat definitzen duen <a href="/wiki/Konputazio" title="Konputazio">konputaziozko</a> modelo matematikoa da<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>, erregela - taula baten arabera zinta tira baten gainean sinboloak manipulatzen dituena<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup>. Sinplea bada ere, Turing makina edozein <a href="/wiki/Algoritmo" title="Algoritmo">konputazio-algoritmo</a> simulatzeko<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> egokitua izan daiteke. </p><p>Turing makina ordenagailu batek egindako datu-manipulazio guztia kontrolatzen duen <a href="/wiki/Prozesatzeko_unitate_zentral" title="Prozesatzeko unitate zentral">prozesamendu unitate zentral</a> (PUZ) baten adibide orokor bat da, makina kanonikoarekin datuak biltzeko memoria sekuentziala erabiliz. Zehazkiago, alfabeto baten kate baliodunen azpimultzo arbitrarioren bat zerrendatzeko gai den makina — <a href="/wiki/Automata" title="Automata">automata</a> — bat da. Kateak modu mugikorrean zerrendatu daitekeen multzo baten zati dira. Turing-en makinak luzera infinituko zinta bat du, non irakurtzeko eta idazteko eragiketak egin ditzakeen. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Historia">Historia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Turingen_makina&amp;veaction=edit&amp;section=1" title="Aldatu atal hau: «Historia»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Turingen_makina&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Historia"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Alan_Turing_az_1930-as_%C3%A9vekben.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Alan_Turing_az_1930-as_%C3%A9vekben.jpg/143px-Alan_Turing_az_1930-as_%C3%A9vekben.jpg" decoding="async" width="143" height="185" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Alan_Turing_az_1930-as_%C3%A9vekben.jpg/216px-Alan_Turing_az_1930-as_%C3%A9vekben.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/79/Alan_Turing_az_1930-as_%C3%A9vekben.jpg/287px-Alan_Turing_az_1930-as_%C3%A9vekben.jpg 2x" data-file-width="650" data-file-height="838" /></a><figcaption><a href="/wiki/Alan_Turing" title="Alan Turing">Alan Turing</a>-en argazkia, 16 urterekin.</figcaption></figure> <p>Turing-en makina 1936an asmatu zuen <a href="/wiki/Alan_Turing" title="Alan Turing">Alan Turing</a>-ek<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup>. Eredu horrekin, teoriko britainiarra gai izan zen bi galderari erantzuteko: ba al dago makinaren bat beste makina arbitrario batek bere zintan "zirkularra" den ala ez zehaztu dezakeena? Eta ba al dago makina bat beste makina arbitrario batek bere zintan inoiz sinbolo jakin bat inprimatu duen ala ez determinatzeko gai dena?<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> Honela, kalkulu arbitrarioak egiteko gai den gailu sinple baten deskribapen matematiko bat ematean, konputazioaren propietateak orokorrean eta, bereziki, <i><a href="/w/index.php?title=Entscheidungsproblem&amp;action=edit&amp;redlink=1" class="new" title="Entscheidungsproblem (sortu gabe)">Entscheidungsproblem-aren</a></i> <a href="/wiki/Konputagarritasunaren_teoria" title="Konputagarritasunaren teoria">konputaezintasuna</a> frogatu ahal izan zituen<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup>. </p><p>Turingen makinari esker konputazio mekanikoaren potentzian oinarrizko mugak zeudela frogatzeko gai izan zen Alan Turing, eta makina batek konpondu ezin zituen arazoak zeudela egiaztatu zuen<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup>. </p><p>Gaur egun, kontagailu, erregistro, ausazko sarbide makinak eta Turingen makina dira oraindik ere <a href="/wiki/Konputazioaren_teoria" title="Konputazioaren teoria">konputazioaren teoriari</a> buruzko gaiak ikertzen dituzten teorikoek aukeratzen dituzten modeloak. Bereziki, <a href="/w/index.php?title=Konplexutasun_konputazionalaren_teoriak&amp;action=edit&amp;redlink=1" class="new" title="Konplexutasun konputazionalaren teoriak (sortu gabe)">konplexutasun konputazionalaren teoriak</a> Turingen makina erabiltzen du. </p><p>Jatorrian, <a href="/wiki/Alan_Turing" title="Alan Turing">Alan Turing</a> matematikari ingelesak definitu zuen "makina automatiko" gisan 1936an, <i>Proceedings of London Mathematical Society</i>, aldizkarian. Turing makina ez dago diseinatua konputazio-teknologia praktiko modura, baizik eta, konputazio-makina adierazten duen gailu hipotetiko modura. Turing makinak laguntzen die zientzialariei kalkulu mekanikoaren mugak ulertzen. </p><p>Turingek esperimentuaren definizio laburra eman zuen 1948ko "Makina adimendun" saiakeran. 1936ko bere argitalpena aipatuz, Turingek idatzi zuen Turing makina, hemen logika-konputazioko makina deitua, honakoa zela: </p> <div class="mw-heading mw-heading2"><h2 id="Deskribapena">Deskribapena</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Turingen_makina&amp;veaction=edit&amp;section=2" title="Aldatu atal hau: «Deskribapena»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Turingen_makina&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: Deskribapena"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Turing-en_makina.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Turing-en_makina.png/268px-Turing-en_makina.png" decoding="async" width="268" height="89" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/4/4a/Turing-en_makina.png 1.5x" data-file-width="293" data-file-height="97" /></a><figcaption>Turing makina baten bistaratzea. Bertan burua eta irakurtzen den zinta ikusten dira.</figcaption></figure> <p>Turingen makinak zinta baten gainean mekanikoki lan egiten duen makina bat modelatzen du matematikoki. Zinta honetan makinak irakurri eta idatz ditzakeen ikurrak daude, ekintza bakarra aldi berean, zintak irakurle/idazle buru bat erabiliz. Eragiketa erabat determinatuta dago instrukzio elementalen multzo finitu baten bidez, hala nola, "42. egoeran, ikusitako sinboloa 0 bada, 1 idatzi; ikusitako sinboloa 1 bada, 17. egoerara aldatu; 17. egoeran ikusitako sinboloa 0 bada, 1 idatzi eta 6. egoerara aldatu; etab.". </p><p>Turing makina batek honako atal hauek ditu: </p> <ul><li><i>Zinta</i> bat, bata bestearen ondoan dauden gelaxketan banatzen dena. Gelaxka bakoitzak alfabeto finitu baten ikur bat dauka. Suposatzen da zinta arbitrarioki hedagarria dela, hau da, beti izango du konputatzeko behar duen beste zinta.</li> <li><i>Buru</i> bat, zintan ikurrak irakurri eta idatz ditzakeena eta aldi berean zinta ezkerretara eta eskuinetara gelaxka bat aldi berean mugi dezakeena.</li> <li><i>Egoera-erregistro</i> bat, Turingeko makinaren egoera gordetzen duena. Hasierako egoera berezi batekin hasten da egoera-erregistroa.</li> <li><i>Instrukzio-taula finitu</i> bat, makinaren egoera (q<sub>i</sub>) eta zintan irakurtzen ari den sinboloa (a<sub>j</sub>) kontuan hartuta (<i>buru</i> azpian dagoena), makinari sekuentzian honako hau egitea adierazten diona (5-tuplako modeloetarako): <ol><li>Ikur bat ezabatu edo idazten du (a<sub>j</sub> a<sub>j1</sub>-rekin ordezkatuz).</li> <li>Burua mugitu.</li> <li>Egoera bera edo egoera berri bat preskribatzen da (q<sub>i1</sub> egoerara joan).</li></ol></li></ul> <div class="mw-heading mw-heading2"><h2 id="Erreferentziak">Erreferentziak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Turingen_makina&amp;veaction=edit&amp;section=3" title="Aldatu atal hau: «Erreferentziak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Turingen_makina&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: Erreferentziak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist columns references-column-width" style="-moz-column-width: 30em; -webkit-column-width: 30em; column-width: 30em; list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">↑</a> <span class="reference-text">Minsky 1967:107 "1936 urteko artikuluan, bere izena daramaten makina abstraktuak definitu zituen. Turing makina bat egoera finituko makina bat da, ingurune mota berezi batekin lotua, bere zinta, non sinboloen sekuentziak gorde (eta gero berreskuratu) ditzakeen ", baita Stone 1972:8 non "makina" hitza komatxo artean dagoen.</span> </li> <li id="cite_note-2"><a href="#cite_ref-2">↑</a> <span class="reference-text">Stone 1972:8 baieztatzen du ""Makina" hau eredu matematiko abstraktua da", ere cf. Sipser 2006: 137 "Turing makinaren modeloa" deskribatzen du. Rogers 1987 (1967): 13 "Turingen karakterizazioa" aipatzen du, Boolos Burgess eta Jeffrey 2002:25 "idealizatutako makina mota espezifiko" bat aipatzen dute.</span> </li> <li id="cite_note-3"><a href="#cite_ref-3">↑</a> <span class="reference-text">Sipser 2006:137 "Turing makina batek ordenagailu erreal batek egin dezakeen guztia egin dezake".</span> </li> <li id="cite_note-4"><a href="#cite_ref-4">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation" id="CITEREFHodges2012">Hodges,&#32;Andrew. &#32;(2012).&#32;<a rel="nofollow" class="external text" href="https://archive.org/details/alanturingenigma0000hodg"><i>Alan Turing: The Enigma (The Centenary ed.). </i></a>&#32;Princetongo Unibertsitateko prentsa.&#32;<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/978-0-691-15564-7" title="Berezi:BookSources/978-0-691-15564-7">978-0-691-15564-7</a>.</span>.</span> </li> <li id="cite_note-5"><a href="#cite_ref-5">↑</a> <span class="reference-text">Ideia hori 1935. urtearen erdialdean bururatu zitzaion, <a href="/w/index.php?title=Max_Newman&amp;action=edit&amp;redlink=1" class="new" title="Max Newman (sortu gabe)">M. H. A. Newmanek</a> bere hitzaldietan egindako galdera baten ondoren: "Metodo definitu bat zegoen, edo Newmanek esan zuen bezala, enuntziatu matematiko bati aplika zekiokeen "prozesu mekaniko" bat, frogatzeko modukoa ote zen erantzuna emango zuena" (Hodges 1983:93). Turingek 1936ko maiatzaren 31n aurkeztu zion artikulua London Mathematical Societyri, bere <i>Aktak</i> egiteko. (Hodges 1983:112), baina 1937ko hasieran argitaratu zen eta separatak 1937ko otsailean zeuden eskuragarri. (Hodges 1983:129).</span> </li> <li id="cite_note-6"><a href="#cite_ref-6">↑</a> <span class="reference-text">Turing 1936 <i>The Undecidable</i> 1965: 132-134; Turingen definizioa, "Zirkularra", 119. orrialdean dago.</span> </li> <li id="cite_note-7"><a href="#cite_ref-7">↑</a> <span class="reference-text">Turing 1936 <i>The Undecidable</i> 1965:145</span> </li> <li id="cite_note-8"><a href="#cite_ref-8">↑</a> <span class="reference-text">Sipser 2006:137 "Turing makina batek ordenagailu erreal batek egin dezakeen guztia egin dezake. Hala ere, Turing makina batek ere ezin ditu arazo batzuk konpondu. Zentzu oso errealean, arazo hauek konputazioaren muga teorikoetatik haratago daude ".</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Bibliografia">Bibliografia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Turingen_makina&amp;veaction=edit&amp;section=4" title="Aldatu atal hau: «Bibliografia»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Turingen_makina&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Bibliografia"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=Andrew_Hodges&amp;action=edit&amp;redlink=1" class="new" title="Andrew Hodges (sortu gabe)">Hodges, Andrew</a> (1983). <i><a href="//archive.org/details/alanturing00andr" class="extiw" title="iarchive:alanturing00andr">Alan Turing: The Enigma</a></i>. Erresuma Batua: Burnett Books/Hutchinson. <small>ISBN 0-671-49207-1</small>.</li> <li><a href="/wiki/Marvin_Minsky" title="Marvin Minsky">Minsky, Marvin</a> (1967). «Unsolvability of the Halting Problem». <i>Computation: Finite and Infinite Machines</i>. NJ: Prentice–Hall, Inc.</li> <li>Turing, A.M. (1936). «On Computable Numbers, with an Application to the Entscheidungsproblem». <i>Proceedings of the London Mathematical Society</i>. 2 (1937) <b>42</b>: 230-265.</li> <li>Turing, A.M. (1938). «On Computable Numbers, with an Application to the Entscheidungsproblem: A correction». <i>Proceedings of the London Mathematical Society</i>. 2 (1937) <b>43</b> (6): 544-6.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Kanpo_estekak">Kanpo estekak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Turingen_makina&amp;veaction=edit&amp;section=5" title="Aldatu atal hau: «Kanpo estekak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Turingen_makina&amp;action=edit&amp;section=5" title="Edit section&#039;s source code: Kanpo estekak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="clear:both;"></div><style data-mw-deduplicate="TemplateStyles:r7786466">.mw-parser-output .mw-authority-control{margin-top:1.5em}.mw-parser-output .mw-authority-control .navbox 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alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q163310" class="extiw" title="wikidata:Q163310">Q163310</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Turing_machines">Turing machines</a></span> / <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Special:MediaSearch?type=image&amp;search=%22Q163310%22">Q163310</a></span></span></li></ul> <hr /> <ul><li><b>Identifikadoreak</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Biblioteca_Nacional_de_Espa%C3%B1a" class="mw-redirect" title="Biblioteca Nacional de España">BNE</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://datos.bne.es/resource/XX550362">XX550362</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Biblioth%C3%A8que_nationale_de_France" class="mw-redirect" title="Bibliothèque nationale de France">BNF</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb11978871z">11978871z</a> <a rel="nofollow" class="external text" href="http://data.bnf.fr/ark:/12148/cb11978871z">(data)</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Integrated_Authority_File" class="mw-redirect" title="Integrated Authority File">GND</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4203525-9">4203525-9</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Library_of_Congress_Control_Number" title="Library of Congress Control Number">LCCN</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/sh85138778">sh85138778</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/National_Diet_Library" class="mw-redirect" title="National Diet Library">NDL</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00573533">00573533</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Syst%C3%A8me_universitaire_de_documentation" title="Système universitaire de documentation">SUDOC</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/027831655">027831655</a></span></li> <li><b>Hiztegiak eta entziklopediak</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Encyclop%C3%A6dia_Britannica" title="Encyclopædia Britannica">Britannica</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://www.britannica.com/topic/Turing-machine">url</a></span></li></ul> </div></td></tr></tbody></table></div><div class="mw-mf-linked-projects hlist"> <ul><li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q163310" class="extiw" title="wikidata:Q163310">Q163310</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Turing_machines">Turing machines</a></span> / <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Special:MediaSearch?type=image&amp;search=%22Q163310%22">Q163310</a></span></span></li></ul> </div></div> <!-- NewPP limit report Parsed by mw‐api‐ext.eqiad.main‐b6f8d8986‐kv5xm Cached time: 20241120001545 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.211 seconds Real time usage: 0.538 seconds Preprocessor visited node count: 755/1000000 Post‐expand include size: 9765/2097152 bytes Template argument size: 809/2097152 bytes Highest expansion depth: 15/100 Expensive parser function count: 8/500 Unstrip recursion depth: 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