Quine–McCluskey algorithm: Difference between revisions

Revision as of 23:35, 19 July 2022

Revision as of 05:59, 5 October 2022

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<ref name="Quine_1952">{{cite journal |last=Quine |first=Willard Van Orman |author-link=Willard Van Orman Quine |date=October 1952 |title=The Problem of Simplifying Truth Functions |jstor=2308219 |journal=[[The American Mathematical Monthly]] |volume=59 |issue=8 |pages=521–531 |doi=10.2307/2308219}}</ref>

<ref name="Quine_1955">{{cite journal |last=Quine |first=Willard Van Orman |author-link=Willard Van Orman Quine |date=November 1955 |title=A Way to Simplify Truth Functions |jstor=2307285 |journal=[[The American Mathematical Monthly]] |volume=62 |issue=9 |pages=627–631 |doi=10.2307/2307285 |hdl=10338.dmlcz/142789}}</ref>

<ref name="McCluskey_1956">{{cite journal |last=McCluskey, Jr. |first=Edward Joseph Jr.|author-link=Edward Joseph McCluskey, Jr. |date=November 1956 |title=Minimization of Boolean Functions |journal=[[Bell System Technical Journal]] |volume=35 |issue=6 |pages=1417–1444 |doi=10.1002/j.1538-7305.1956.tb03835.x |url=https://archive.org/details/bstj35-6-1417 |access-date=2014-08-24 |hdl=10338.dmlcz/102933}}</ref>

<ref name="Nelson_1995">{{cite book |last1=Nelson |first1=Victor P. |first2=H. Troy |last2=Nagle |first3=Bill D. |last3=Carroll |first4=J. David |last4=Irwin |author-link4=J. David Irwin |date=1995 |title=Digital Logic Circuit Analysis and Design |url=https://books.google.com/books?id=8V5TAAAAMAAJ |publisher=[[Prentice Hall]] |page=234 |edition=2 |access-date=2014-08-26 |isbn=978-0-13463894-2}}</ref>

<ref name="Logic_Friday">[[Logic Friday]] program</ref>

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<ref name="Mullin_Kellner_1958">{{cite journal |title=A Residue Test for Boolean Functions |first1=Albert Alkins |last1=Mullin |author-link1=Albert Alkins Mullin |first2=Wayne G. |last2=Kellner |journal=Transactions of the Illinois State Academy of Science |volume=51 |number=3–4 |date=1958<!-- |orig-date=November 1955 According to Caldwell --> |publication-place=Springfield, Illinois, USA |___location=University of Illinois, Urbana, USA and Electrical Engineering Department, [[Massachusetts Institute of Technology]], Massachusetts, USA |type=Teaching memorandum |s2cid=125171479 |pages=14–19 |url=https://ilacadofsci.com/wp-content/uploads/2016/03/051-16-print.pdf |access-date=2020-05-05 |url-status=live |archive-url=https://web.archive.org/web/20200505163915/https://ilacadofsci.com/wp-content/uploads/2016/03/051-16-print.pdf |archive-date=2020-05-05}} [https://ilacadofsci.com/archives/9279] (6 pages) (NB. In {{citeref|Caldwell|1958|his book|style=plain}}, Caldwell dates this to November 1955 as a teaching memorandum. Since Mullin dates their work to 1958 in {{citeref|Mullin|1960|another work|style=plain}} and Abrahams/Nordahl's {{citeref|Abrahams|Nordahl|1955|class memorandum|style=plain}} is also dated November 1955, this could be a copy error.)</ref>

<ref name="Mullin_1959">{{cite journal |title=Two Applications of Elementary Number Theory |first=Albert Alkins |last=Mullin |author-link=Albert Alkins Mullin |journal=Transactions of the Illinois State Academy of Science |volume=52 |number=3–4 |date=1960-03-15 |orig-date=1959-09-19 |___location=University of Illinois, Urbana, USA |publication-place=Springfield, Illinois, USA |editor-first1=Harvey I. |editor-last1=Fisher |editor-first2=George E. |editor-last2=Ekblaw |editor-first3=F. O. |editor-last3=Green |editor-first4=Reece |editor-last4=Jones |editor-first5=Francis |editor-last5=Kruidenier |editor-first6=John |editor-last6=McGregor |editor-first7=Paul |editor-last7=Silva |editor-first8=Milton |editor-last8=Thompson |pages=102–103 |url=https://ilacadofsci.com/wp-content/uploads/2016/03/052-15-print.pdf |access-date=2020-05-05 |url-status=live |archive-url=https://web.archive.org/web/20200505143916/https://ilacadofsci.com/wp-content/uploads/2016/03/052-15-print.pdf |archive-date=2020-05-05}} [https://ilacadofsci.com/archives/9203][https://archive.org/details/transactionsofil5219unse][https://archive.org/stream/transactionsofil5219unse/transactionsofil5219unse_djvu.txt] (2 pages)</ref>

<ref name="McCluskey_1960">{{cite journal |title=Albert A. Mullin and Wayne G. Kellner. A residue test for Boolean functions. Transactions of the Illinois State Academy of Science, vol. 51 nos. 3 and 4, (1958), pp. 14–19. |type=Review |last=McCluskey, Jr. |first=Edward Joseph Jr.|author-link=Edward Joseph McCluskey, Jr. |journal=[[The Journal of Symbolic Logic]] |volume=25 |issue=2 |date=June 1960 |doi=10.2307/2964263 |page=185 |jstor=2964263 |quote-page=185 |quote=[...] The results of this paper are presented in the more readily available {{citeref|Caldwell|1958|book|style=plain}} by S. H. Caldwell [...<!-- XXIII 433 -->]. In this book, the author gives credit to {{citeref|Mullin|Kellner|1958|Mullin and Kellner|style=plain}} for development of the manipulations with the decimal numbers.}} (1 page)</ref>

<ref name="Kämmerer_1969">{{cite book |title=Digitale Automaten – Theorie, Struktur, Technik, Programmieren |language=de |chapter=I.12. Theorie: Minimierung Boolescher Funktionen |first=Wilhelm |last=Kämmerer |author-link=:de:Wilhelm Kämmerer |editor-first1=Hans |editor-last1=Frühauf |editor-link1=:de:Hans Frühauf |editor-first2=Wilhelm |editor-last2=Kämmerer |editor-first3=Kurz |editor-last3=Schröder |editor-first4=Helmut |editor-last4=Winkler |edition=1 |date=May 1969 |publisher=[[Akademie-Verlag GmbH]] |publication-place=Berlin, Germany |___location=Jena, Germany |volume=5 |id=License no. 202-100/416/69. Order no. 4666 ES 20 K 3. |series=Elektronisches Rechnen und Regeln |pages=98, 103–104 |url=https://books.google.com/books?id=jkcgAQAAIAAJ&q=P.+W.+Abraham+I.+G.+Nordahl |quote-page=98 |quote=[...] 1955 wurde das Verfahren auf die bequemere dezimale Schreibweise umgestellt ({{citeref|Abrahams|Nordahl|1955|P. W. Abraham und I. G. Nordahl|style=plain}} in [<nowiki/>{{citeref|Caldwell|1958|Caldwell|style=plain}}<nowiki/>]). [...]}} (NB. A second edition 1973 exists as well.<!-- where the relevant quote is located on page 99 rather than 98 -->)</ref>

<ref name="McColl_1878">{{cite journal |first=Hugh |last=McColl |author-link=Hugh McColl (mathematician) |date=1878-11-14 |title=The Calculus of Equivalent Statements (Third Paper) |journal=[[Proceedings of the London Mathematical Society]] |volume=s1-10<!-- or 10? --> |issue=1 |doi=10.1112/plms/s1-10.1.16 |pages=16–28 |url=https://academic.oup.com/plms/article-abstract/s1-10/1/16/1503062}}</ref>