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Tillgänglig på 66 språk" > <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 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Boolse_algebra" title="Boolse algebra – afrikaans" lang="af" hreflang="af" data-title="Boolse algebra" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AC%D8%A8%D8%B1_%D8%A8%D9%88%D9%84" title="جبر بول – arabiska" lang="ar" hreflang="ar" data-title="جبر بول" data-language-autonym="العربية" data-language-local-name="arabiska" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/%C3%81lxebra_de_Boole" title="Álxebra de Boole – asturiska" lang="ast" hreflang="ast" data-title="Álxebra de Boole" data-language-autonym="Asturianu" data-language-local-name="asturiska" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Bul_c%C9%99bri_(m%C9%99ntiqi)" title="Bul cəbri (məntiqi) – azerbajdzjanska" lang="az" hreflang="az" data-title="Bul cəbri (məntiqi)" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdzjanska" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%A8%D9%88%D9%84_%D8%AC%D8%A8%D8%B1%DB%8C" title="بول جبری – South Azerbaijani" lang="azb" hreflang="azb" data-title="بول جبری" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AC%E0%A7%81%E0%A6%B2%E0%A6%BF%E0%A6%AF%E0%A6%BC%E0%A6%BE%E0%A6%A8_%E0%A6%AC%E0%A7%80%E0%A6%9C%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="বুলিয়ান বীজগণিত – bengali" lang="bn" hreflang="bn" data-title="বুলিয়ান বীজগণিত" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D2%BB%D1%8B" title="Логика алгебраһы – basjkiriska" lang="ba" hreflang="ba" data-title="Логика алгебраһы" data-language-autonym="Башҡортса" data-language-local-name="basjkiriska" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%91%D1%83%D0%BB%D0%B5%D0%B2%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0" title="Булева алгебра – bulgariska" lang="bg" hreflang="bg" data-title="Булева алгебра" data-language-autonym="Български" data-language-local-name="bulgariska" 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/Booleova_algebra" title="Booleova algebra – bosniska" lang="bs" hreflang="bs" data-title="Booleova algebra" data-language-autonym="Bosanski" data-language-local-name="bosniska" 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/%C3%80lgebra_de_Boole" title="Àlgebra de Boole – katalanska" lang="ca" hreflang="ca" data-title="Àlgebra de Boole" data-language-autonym="Català" data-language-local-name="katalanska" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D0%B0%D0%BB%D0%B0%D0%BD%C4%83%D0%BB%C4%83%D1%85%D1%81%D0%B5%D0%BD_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B8" title="Каланăлăхсен алгебри – tjuvasjiska" lang="cv" hreflang="cv" data-title="Каланăлăхсен алгебри" data-language-autonym="Чӑвашла" data-language-local-name="tjuvasjiska" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Booleova_algebra" title="Booleova algebra – tjeckiska" lang="cs" hreflang="cs" data-title="Booleova algebra" data-language-autonym="Čeština" data-language-local-name="tjeckiska" 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/Boolesk_algebra" title="Boolesk algebra – danska" lang="da" hreflang="da" data-title="Boolesk algebra" data-language-autonym="Dansk" data-language-local-name="danska" 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/Boolesche_Algebra" title="Boolesche Algebra – tyska" lang="de" hreflang="de" data-title="Boolesche Algebra" data-language-autonym="Deutsch" data-language-local-name="tyska" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Boole%27i_algebra" title="Boole'i algebra – estniska" lang="et" hreflang="et" data-title="Boole'i algebra" data-language-autonym="Eesti" data-language-local-name="estniska" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%86%CE%BB%CE%B3%CE%B5%CE%B2%CF%81%CE%B1_%CE%9C%CF%80%CE%BF%CF%85%CE%BB" title="Άλγεβρα Μπουλ – grekiska" lang="el" hreflang="el" data-title="Άλγεβρα Μπουλ" data-language-autonym="Ελληνικά" data-language-local-name="grekiska" 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/Boolean_algebra_(structure)" title="Boolean algebra (structure) – engelska" lang="en" hreflang="en" data-title="Boolean algebra (structure)" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/%C3%81lgebra_de_Boole" title="Álgebra de Boole – spanska" lang="es" hreflang="es" data-title="Álgebra de Boole" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Bulea_algebro" title="Bulea algebro – esperanto" lang="eo" hreflang="eo" data-title="Bulea algebro" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Booleren_aljebra" title="Booleren aljebra – baskiska" lang="eu" hreflang="eu" data-title="Booleren aljebra" data-language-autonym="Euskara" data-language-local-name="baskiska" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AC%D8%A8%D8%B1_%D8%A8%D9%88%D9%84%DB%8C" title="جبر بولی – persiska" lang="fa" hreflang="fa" data-title="جبر بولی" data-language-autonym="فارسی" data-language-local-name="persiska" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Alg%C3%A8bre_de_Boole_(structure)" title="Algèbre de Boole (structure) – franska" lang="fr" hreflang="fr" data-title="Algèbre de Boole (structure)" data-language-autonym="Français" data-language-local-name="franska" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Ailg%C3%A9abar_Boole" title="Ailgéabar Boole – iriska" lang="ga" hreflang="ga" data-title="Ailgéabar Boole" data-language-autonym="Gaeilge" data-language-local-name="iriska" 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/%C3%81lxebra_de_Boole" title="Álxebra de Boole – galiciska" lang="gl" hreflang="gl" data-title="Álxebra de Boole" data-language-autonym="Galego" data-language-local-name="galiciska" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ki mw-list-item"><a href="https://ki.wikipedia.org/wiki/Boolean_Logic" title="Boolean Logic – kikuyu" lang="ki" hreflang="ki" data-title="Boolean Logic" data-language-autonym="Gĩkũyũ" data-language-local-name="kikuyu" 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/%EB%B6%88_%EB%8C%80%EC%88%98" title="불 대수 – koreanska" lang="ko" hreflang="ko" data-title="불 대수" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B2%D5%B8%D6%82%D5%AC%D5%B5%D5%A1%D5%B6_%D5%B0%D5%A1%D5%B6%D6%80%D5%A1%D5%B0%D5%A1%D5%B7%D5%AB%D5%BE" title="Բուլյան հանրահաշիվ – armeniska" lang="hy" hreflang="hy" data-title="Բուլյան հանրահաշիվ" data-language-autonym="Հայերեն" data-language-local-name="armeniska" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AC%E0%A5%82%E0%A4%B2%E0%A5%80%E0%A4%AF_%E0%A4%AC%E0%A5%80%E0%A4%9C%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4_(%E0%A4%A4%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%B6%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A5%8D%E0%A4%B0)" title="बूलीय बीजगणित (तर्कशास्त्र) – hindi" lang="hi" hreflang="hi" data-title="बूलीय बीजगणित (तर्कशास्त्र)" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Booleova_algebra" title="Booleova algebra – kroatiska" lang="hr" hreflang="hr" data-title="Booleova algebra" data-language-autonym="Hrvatski" data-language-local-name="kroatiska" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Booleana_algebro" title="Booleana algebro – ido" lang="io" hreflang="io" data-title="Booleana algebro" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Aljabar_Boole" title="Aljabar Boole – indonesiska" lang="id" hreflang="id" data-title="Aljabar Boole" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiska" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Algebra_di_Boole" title="Algebra di Boole – italienska" lang="it" hreflang="it" data-title="Algebra di Boole" data-language-autonym="Italiano" data-language-local-name="italienska" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%9C%D7%92%D7%91%D7%A8%D7%94_%D7%91%D7%95%D7%9C%D7%99%D7%90%D7%A0%D7%99%D7%AA_(%D7%9E%D7%91%D7%A0%D7%94_%D7%90%D7%9C%D7%92%D7%91%D7%A8%D7%99)" title="אלגברה בוליאנית (מבנה אלגברי) – hebreiska" lang="he" hreflang="he" data-title="אלגברה בוליאנית (מבנה אלגברי)" data-language-autonym="עברית" data-language-local-name="hebreiska" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AC%E0%B3%82%E0%B2%B2%E0%B2%BF%E0%B2%AF%E0%B2%A8%E0%B3%8D_%E0%B2%AC%E0%B3%80%E0%B2%9C%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4" title="ಬೂಲಿಯನ್ ಬೀಜಗಣಿತ – kannada" lang="kn" hreflang="kn" data-title="ಬೂಲಿಯನ್ ಬೀಜಗಣಿತ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Mantiq%C3%AA_B%C3%BBl%C3%AE" title="Mantiqê Bûlî – kurdiska" lang="ku" hreflang="ku" data-title="Mantiqê Bûlî" data-language-autonym="Kurdî" data-language-local-name="kurdiska" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%90%D0%B9%D1%82%D1%8B%D0%BB%D1%8B%D1%88%D1%82%D0%B0%D1%80_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D1%81%D1%8B" title="Айтылыштар алгебрасы – kirgiziska" lang="ky" hreflang="ky" data-title="Айтылыштар алгебрасы" data-language-autonym="Кыргызча" data-language-local-name="kirgiziska" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Algebra_Booleana_(logica)" title="Algebra Booleana (logica) – latin" lang="la" hreflang="la" data-title="Algebra Booleana (logica)" data-language-autonym="Latina" data-language-local-name="latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/B%C5%ABla_algebra" title="Būla algebra – lettiska" lang="lv" hreflang="lv" data-title="Būla algebra" data-language-autonym="Latviešu" data-language-local-name="lettiska" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/B%C5%ABlio_algebra" title="Būlio algebra – litauiska" lang="lt" hreflang="lt" data-title="Būlio algebra" data-language-autonym="Lietuvių" data-language-local-name="litauiska" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Boole-algebra_(informatika)" title="Boole-algebra (informatika) – ungerska" lang="hu" hreflang="hu" data-title="Boole-algebra (informatika)" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%91%D1%83%D0%BB%D0%BE%D0%B2%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0" title="Булова алгебра – makedonska" lang="mk" hreflang="mk" data-title="Булова алгебра" data-language-autonym="Македонски" data-language-local-name="makedonska" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/%C3%81lgebra_de_Boole" title="Álgebra de Boole – mirandesiska" lang="mwl" hreflang="mwl" data-title="Álgebra de Boole" data-language-autonym="Mirandés" data-language-local-name="mirandesiska" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%98%E1%80%B0%E1%80%9C%E1%80%AE%E1%80%9A%E1%80%94%E1%80%BA%E1%80%A1%E1%80%80%E1%80%B9%E1%80%81%E1%80%9B%E1%80%AC%E1%80%9E%E1%80%84%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="ဘူလီယန်အက္ခရာသင်္ချာ – burmesiska" lang="my" hreflang="my" data-title="ဘူလီယန်အက္ခရာသင်္ချာ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="burmesiska" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Booleaanse_algebra" title="Booleaanse algebra – nederländska" lang="nl" hreflang="nl" data-title="Booleaanse algebra" data-language-autonym="Nederlands" data-language-local-name="nederländska" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Boolsk_algebra" title="Boolsk algebra – norskt bokmål" lang="nb" hreflang="nb" data-title="Boolsk algebra" data-language-autonym="Norsk bokmål" data-language-local-name="norskt bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Boolsk_algebra" title="Boolsk algebra – nynorska" lang="nn" hreflang="nn" data-title="Boolsk algebra" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorska" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/%C3%80lgebra_%C3%ABd_Boole" title="Àlgebra ëd Boole – piemontesiska" lang="pms" hreflang="pms" data-title="Àlgebra ëd Boole" data-language-autonym="Piemontèis" data-language-local-name="piemontesiska" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/%C3%81lgebra_booliana" title="Álgebra booliana – portugisiska" lang="pt" hreflang="pt" data-title="Álgebra booliana" data-language-autonym="Português" data-language-local-name="portugisiska" 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/Algebr%C4%83_boolean%C4%83" title="Algebră booleană – rumänska" lang="ro" hreflang="ro" data-title="Algebră booleană" data-language-autonym="Română" data-language-local-name="rumänska" 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%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0_%D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B8" title="Алгебра логики – ryska" lang="ru" hreflang="ru" data-title="Алгебра логики" data-language-autonym="Русский" data-language-local-name="ryska" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Boolean_algebra" title="Boolean algebra – Simple English" lang="en-simple" hreflang="en-simple" data-title="Boolean algebra" 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/Boolova_algebra" title="Boolova algebra – slovakiska" lang="sk" hreflang="sk" data-title="Boolova algebra" data-language-autonym="Slovenčina" data-language-local-name="slovakiska" 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/Booleova_algebra" title="Booleova algebra – slovenska" lang="sl" hreflang="sl" data-title="Booleova algebra" data-language-autonym="Slovenščina" data-language-local-name="slovenska" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%91%D1%83%D0%BB%D0%BE%D0%B2%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0" title="Булова алгебра – serbiska" lang="sr" hreflang="sr" data-title="Булова алгебра" data-language-autonym="Српски / srpski" data-language-local-name="serbiska" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Bulova_algebra" title="Bulova algebra – serbokroatiska" lang="sh" hreflang="sh" data-title="Bulova algebra" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroatiska" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Boolen_algebra" title="Boolen algebra – finska" lang="fi" hreflang="fi" data-title="Boolen algebra" data-language-autonym="Suomi" data-language-local-name="finska" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Alhebrang_Boolean" title="Alhebrang Boolean – tagalog" lang="tl" hreflang="tl" data-title="Alhebrang Boolean" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AF%82%E0%AE%B2%E0%AE%BF%E0%AE%AF_%E0%AE%87%E0%AE%AF%E0%AE%B1%E0%AF%8D%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D" title="பூலிய இயற்கணிதம் – tamil" lang="ta" hreflang="ta" data-title="பூலிய இயற்கணிதம்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9E%E0%B8%B5%E0%B8%8A%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B8%9A%E0%B8%B9%E0%B8%A5" title="พีชคณิตแบบบูล – thailändska" lang="th" hreflang="th" data-title="พีชคณิตแบบบูล" data-language-autonym="ไทย" data-language-local-name="thailändska" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D0%B8_%D0%BC%D0%B0%D0%BD%D1%82%D0%B8%D2%9B" title="Алгебраи мантиқ – tadzjikiska" lang="tg" hreflang="tg" data-title="Алгебраи мантиқ" data-language-autonym="Тоҷикӣ" data-language-local-name="tadzjikiska" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Boole_cebiri" title="Boole cebiri – turkiska" lang="tr" hreflang="tr" data-title="Boole cebiri" data-language-autonym="Türkçe" data-language-local-name="turkiska" 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%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0_%D0%BB%D0%BE%D0%B3%D1%96%D0%BA%D0%B8" title="Алгебра логіки – ukrainska" lang="uk" hreflang="uk" data-title="Алгебра логіки" data-language-autonym="Українська" data-language-local-name="ukrainska" 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/%C4%90%E1%BA%A1i_s%E1%BB%91_Boole" title="Đại số Boole – vietnamesiska" lang="vi" hreflang="vi" data-title="Đại số Boole" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesiska" 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/%E9%80%BB%E8%BE%91%E4%BB%A3%E6%95%B0" title="逻辑代数 – wu" lang="wuu" hreflang="wuu" data-title="逻辑代数" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%82%8F%E8%BC%AF%E4%BB%A3%E6%95%B8" title="邏輯代數 – kantonesiska" lang="yue" hreflang="yue" data-title="邏輯代數" 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.infobox.geography .maptable td,.mw-parser-output .infobox.geography .maptable th{border:0;padding:0}</style> <table class="infobox"> <tbody><tr> <th style="background:#ccccff;" width="200px"><a href="/wiki/Logik" title="Logik">Logik</a>, <a href="/wiki/Formellt_system" title="Formellt system">Formellt system</a> </th></tr> <tr> <td> <ul><li><a href="/wiki/Bivalent_logik" title="Bivalent logik">Bivalent logik</a></li> <li><a class="mw-selflink selflink">Boolesk algebra</a></li> <li><a href="/wiki/Deontisk_logik" title="Deontisk logik">Deontisk logik</a></li> <li><a href="/wiki/Filosofisk_logik" title="Filosofisk logik">Filosofisk logik</a></li> <li><a href="/wiki/Flerv%C3%A4rd_logik" title="Flervärd logik">Flervärd logik</a></li> <li><a href="/wiki/Matematisk_logik" title="Matematisk logik">Matematisk logik</a></li> <li><a href="/wiki/Metalogik" title="Metalogik">Metalogik</a></li> <li><a href="/wiki/Modallogik" title="Modallogik">Modallogik</a></li> <li><a href="/wiki/Satslogik" title="Satslogik">Satslogik</a></li> <li><a href="/w/index.php?title=Temporal_logik&action=edit&redlink=1" class="new" title="Temporal logik [inte skriven än]">Temporal logik</a></li></ul> </td></tr> <tr> <th style="background:#ccccff;" width="200px"><a href="/w/index.php?title=Logiskt_system&action=edit&redlink=1" class="new" title="Logiskt system [inte skriven än]">Logiska system</a> </th></tr> <tr> <td> <ul><li><a href="/wiki/F%C3%B6rsta_ordningens_logik" title="Första ordningens logik">Första ordningens logik</a></li> <li><a href="/wiki/Andra_ordningens_logik" title="Andra ordningens logik">Andra ordningens logik</a></li></ul> <hr /> <ul><li><a href="/wiki/Deontisk_logik" title="Deontisk logik">Deontisk logik</a></li> <li><a href="/wiki/Intuitionistisk_logik" title="Intuitionistisk logik">Intuitionistisk logik</a></li> <li><a href="/wiki/Klassisk_logik" title="Klassisk logik">Klassisk logik</a></li> <li><a href="/w/index.php?title=Kontempor%C3%A4r_logik&action=edit&redlink=1" class="new" title="Kontemporär logik [inte skriven än]">Kontemporär logik</a></li> <li><a href="/w/index.php?title=Linj%C3%A4r_logik&action=edit&redlink=1" class="new" title="Linjär logik [inte skriven än]">Linjär logik</a></li> <li><a href="/wiki/Parakonsistent_logik" title="Parakonsistent logik">Parakonsistent logik</a></li> <li><a href="/wiki/Predikatlogik" title="Predikatlogik">Predikatlogik</a></li> <li><a href="/wiki/Relationslogik" title="Relationslogik">Relationell logik</a></li> <li><a href="/wiki/Relevanslogik" title="Relevanslogik">Relevanslogik</a></li> <li><a href="/w/index.php?title=Sannolikhetslogik&action=edit&redlink=1" class="new" title="Sannolikhetslogik [inte skriven än]">Sannolikhetslogik</a></li> <li><a href="/wiki/Satslogik" title="Satslogik">Satslogik</a></li> <li><a href="/w/index.php?title=Substrukturell_logik&action=edit&redlink=1" class="new" title="Substrukturell logik [inte skriven än]">Substrukturell logik</a></li> <li><a href="/wiki/Suddig_logik" title="Suddig logik">Suddig logik</a> (<i>fuzzy logic</i>)</li> <li><a href="/wiki/Syllogism" title="Syllogism">Syllogistisk logik</a></li></ul> </td></tr> <tr> <td><div class="noprint plainlinks" style="background-color:transparent; padding:0; white-space:nowrap; font-weight:normal; font-size:80%; ; color: inherit;">Denna tabell: <a href="/wiki/Mall:Logiska_system" title="Mall:Logiska system"><span title="Visa denna mall" style=";">visa</span></a> <span style="font-size:80%;">•</span> <a class="external text" href="https://sv.wikipedia.org/w/index.php?title=Mall:Logiska_system&action=edit"><span style=";" title="Redigera den här mallen">redigera</span></a></div> </td></tr></tbody></table> <p><b>Boolesk algebra</b> är ursprungligen en överföring av <a href="/wiki/Satslogik" title="Satslogik">satslogiken</a> till kalkyl, som introducerades av <a href="/wiki/George_Boole" title="George Boole">George Boole</a> år 1854. Den är även ekvivalent med <a href="/wiki/M%C3%A4ngdteori" title="Mängdteori">mängdalgebran</a>, med operatorerna <a href="/wiki/Union_(matematik)" title="Union (matematik)">union</a>, <a href="/wiki/Snitt_(matematik)" class="mw-redirect" title="Snitt (matematik)">snitt</a> och <a href="/wiki/Komplement" title="Komplement">komplement</a>. Formellt kan en boolesk algebra definieras som ett <a href="/wiki/Distributivitet" title="Distributivitet">distributivt</a> <a href="/wiki/Gitter_(ordning)" title="Gitter (ordning)">gitter</a>, vars alla element har ett komplement. </p><p>Ytterligare ett exempel på en boolesk algebra är <a href="/wiki/Ring_(matematik)" title="Ring (matematik)">ringen</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (Z_{2},+,{\cdot },{-},0,1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>Z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>+</mo> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>⋅</mo> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> </mrow> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (Z_{2},+,{\cdot },{-},0,1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/71b469980297d465a6aa7e73b96d26e386cdcdce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.209ex; height:2.843ex;" alt="{\displaystyle (Z_{2},+,{\cdot },{-},0,1)}"></span>, där de <a href="/wiki/Logisk_operator" title="Logisk operator">binära operationerna</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\lor }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo>∨</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\lor }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c760053457eaa45d5089b2a84b1e20d91028a877" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle {\lor }}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\land }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo>∧</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\land }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd3ed2de13d7d57c7655e0ef7ef4407c442a4516" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle {\land }}"></span> och <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\neg }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">¬</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\neg }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d44af7fd68e6e2e6a10e00f99391c0d5bc75b510" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.204ex; margin-bottom: -0.376ex; width:1.55ex; height:1.176ex;" alt="{\displaystyle {\neg }}"></span> definieras enligt </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a\lor b=a+b+ab}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>∨</mo> <mi>b</mi> <mo>=</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>+</mo> <mi>a</mi> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\lor b=a+b+ab}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95f1fd516d926f9acd179adb94d4f73b969b7b2d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:18.044ex; height:2.343ex;" alt="{\displaystyle a\lor b=a+b+ab}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a\land b=ab}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>∧</mo> <mi>b</mi> <mo>=</mo> <mi>a</mi> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\land b=ab}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7fb65aaaadcd6f6d3662333e91693bdecb9050f0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.136ex; height:2.176ex;" alt="{\displaystyle a\land b=ab}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \neg a=a+1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">¬</mi> <mi>a</mi> <mo>=</mo> <mi>a</mi> <mo>+</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \neg a=a+1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c70830ab47ef94b170263fc562b35aac01feda93" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:11.111ex; height:2.343ex;" alt="{\displaystyle \neg a=a+1}"></span></dd></dl> <p>En boolesk algebra kan uppfattas som en <a href="/wiki/Boolesk_ring" title="Boolesk ring">boolesk ring</a>. De är således ekvivalenta begrepp. En boolesk algebra <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (A,{\lor },{\land },{\neg },0,1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>A</mi> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>∨</mo> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>∧</mo> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">¬</mi> </mrow> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (A,{\lor },{\land },{\neg },0,1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf61d851988e79f8f5c912206bb1c3b8614c444c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.698ex; height:2.843ex;" alt="{\displaystyle (A,{\lor },{\land },{\neg },0,1)}"></span> kan omformas till en <a href="/wiki/Boolesk_ring" title="Boolesk ring">boolesk ring</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (A,{+},{\cdot },{-},0,1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>A</mi> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>+</mo> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>⋅</mo> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> </mrow> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (A,{+},{\cdot },{-},0,1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c4ec24e9f3637391c7524ef56774ed5a369ecf3d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.31ex; height:2.843ex;" alt="{\displaystyle (A,{+},{\cdot },{-},0,1)}"></span> genom definitionerna </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a+b=(a\land \neg b)\lor (b\land \neg a)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>∧</mo> <mi mathvariant="normal">¬</mi> <mi>b</mi> <mo stretchy="false">)</mo> <mo>∨</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>∧</mo> <mi mathvariant="normal">¬</mi> <mi>a</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+b=(a\land \neg b)\lor (b\land \neg a)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0966d18c5e5a9bb519fa188018107f5bbd59811" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:27.088ex; height:2.843ex;" alt="{\displaystyle a+b=(a\land \neg b)\lor (b\land \neg a)}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a\cdot b=a\land b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>⋅</mo> <mi>b</mi> <mo>=</mo> <mi>a</mi> <mo>∧</mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\cdot b=a\land b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ddba5f872f2e68179827ed2239933df31e136652" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:11.815ex; height:2.176ex;" alt="{\displaystyle a\cdot b=a\land b}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \,-a=a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mo>−</mo> <mi>a</mi> <mo>=</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,-a=a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1acfd36a2936c0bb7027d1bdfbbec829119b90a1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.753ex; height:2.176ex;" alt="{\displaystyle \,-a=a}"></span>.</dd></dl> <p>Booles logiska algebra förbättrades och utvecklades vidare av bland andra matematikerna <a href="/wiki/Charles_Peirce" class="mw-redirect" title="Charles Peirce">Charles Peirce</a>, Ernst Schröder och <a href="/wiki/Giuseppe_Peano" title="Giuseppe Peano">Giuseppe Peano</a>, som moderniserade Booles beteckningar och uttryckssätt. Om man i Booles kalkyl låter 0 och 1 representera sanningsvärdena <b>falskt</b> respektive <b>sant</b> och operatorerna + och <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\cdot }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo>⋅</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\cdot }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dd80dc530234dec0934d4c0ea1c988360d634bbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle {\cdot }}"></span> motsvara konnektiven <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>∨</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ab47f6b1f589aedcf14638df1d63049d233d851a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \lor }"></span> respektive <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \land }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>∧</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \land }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6823e5a222eb3ca49672818ac3d13ec607052c4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \land }"></span>, fås enligt ovan endast ett undantag från ordinarie räkneregler, nämligen att 1 + 1 = 1. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fil:Vennandornot.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Vennandornot.svg/250px-Vennandornot.svg.png" decoding="async" width="250" height="86" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Vennandornot.svg/375px-Vennandornot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Vennandornot.svg/500px-Vennandornot.svg.png 2x" data-file-width="851" data-file-height="293" /></a><figcaption>Venndiagram för de <a href="/wiki/Satslogik" title="Satslogik">logiska</a> konnektiven OCH, ELLER och ICKE.</figcaption></figure> <p>Med <a href="/wiki/Venndiagram" title="Venndiagram">venndiagram</a> kan man åskådliggöra de logiska funktionernas sanningsvärden. </p><p>Den booleska algebran har tillämpningar bland annat inom områdena <a href="/wiki/Digitalteknik" title="Digitalteknik">digitalteknik</a>, <a href="/wiki/Elektrisk_krets" title="Elektrisk krets">kretskonstruktion</a>, <a href="/wiki/Dator" title="Dator">datorer</a> och <a href="/wiki/Datorprogram" title="Datorprogram">programkonstruktion</a>. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fil:Baops.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Baops.gif/250px-Baops.gif" decoding="async" width="250" height="188" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Baops.gif/375px-Baops.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/43/Baops.gif/500px-Baops.gif 2x" data-file-width="787" data-file-height="593" /></a><figcaption></figcaption></figure> <p>Den nedre figuren visar booleska funktionsvärdestabeller, kretskonstruktioner och venndiagram för de <a href="/wiki/Satslogik" title="Satslogik">logiska konnektiven</a> <a href="/wiki/Konjunktion_(logik)" title="Konjunktion (logik)"><b>och</b></a>, <a href="/wiki/Disjunktion_(logik)" class="mw-redirect" title="Disjunktion (logik)"><b>eller</b></a>, <a href="/wiki/Implikation" title="Implikation"><b>materiell implikation</b></a> och <a href="/wiki/Disjunktion_(logik)" class="mw-redirect" title="Disjunktion (logik)"><b>antingen-eller</b></a>. Det sistnämnda konnektivet motsvaras i algebran av addition <a href="/wiki/Modulo" class="mw-redirect" title="Modulo">modulo 2</a> och betecknas med symbolen <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\oplus }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo>⊕</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\oplus }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84ab25b90912e8f744d9d7d319128e279983784e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle {\oplus }}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Se_även"><span id="Se_.C3.A4ven"></span>Se även</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boolesk_algebra&veaction=edit&section=1" title="Redigera avsnitt: Se även" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boolesk_algebra&action=edit&section=1" title="Redigera avsnitts källkod: Se även"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Boolesk_ring" title="Boolesk ring">Boolesk ring</a></li> <li><a href="/wiki/Digitalteknik" title="Digitalteknik">Digitalteknik</a></li> <li><a href="/wiki/Datavetenskap" title="Datavetenskap">Datavetenskap</a></li> <li><a href="/wiki/Logicism" title="Logicism">Logicism</a></li> <li><a href="/wiki/Lattice" class="mw-redirect" title="Lattice">Lattice</a></li> <li><a href="/wiki/Logisk_grind" title="Logisk grind">Logisk grind</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Källor"><span id="K.C3.A4llor"></span>Källor</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boolesk_algebra&veaction=edit&section=2" title="Redigera avsnitt: Källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boolesk_algebra&action=edit&section=2" title="Redigera avsnitts källkod: Källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Whitesitt, J.E., Boolean Algebra and its Applications, Addison-Wesley, 1961.</li> <li>von Wright, G.H., Logik, filosofi och språk, Berlingska, Lund, 1957.</li> <li>Abbott, J.C., Sets, Lattices and Boolean Algebra, Allyn and Bacon, 1969.</li> <li>Bäckström, Karl-Johan, Diskret matematik, Studentlitteratur, 1986.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Externa_länkar"><span id="Externa_l.C3.A4nkar"></span>Externa länkar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Boolesk_algebra&veaction=edit&section=3" title="Redigera avsnitt: Externa länkar" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Boolesk_algebra&action=edit&section=3" title="Redigera avsnitts källkod: Externa länkar"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span typeof="mw:File"><span><img 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" /></span></span> Wikimedia Commons har media som rör <a href="https://commons.wikimedia.org/wiki/Category:Boolean_algebra" class="extiw" title="commons:Category:Boolean algebra">Boolesk algebra</a>.<div class="interProject commons" style="display:none;"><a href="https://commons.wikimedia.org/wiki/Category:Boolean_algebra" class="extiw" title="commons:Category:Boolean algebra">Bilder & media</a></div></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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