Quine–McCluskey algorithm (English Wikipedia)

McCluskey, Edward Joseph Jr. (November 1956). "Minimization of Boolean Functions". Bell System Technical Journal. 35 (6): 1417–1444. doi:10.1002/j.1538-7305.1956.tb03835.x. hdl:10338.dmlcz/102933. Retrieved 2014-08-24.
Mullin, Albert Alkins (1960-03-15) [1959-09-19]. Written at University of Illinois, Urbana, USA. Fisher, Harvey I.; Ekblaw, George E.; Green, F. O.; Jones, Reece; Kruidenier, Francis; McGregor, John; Silva, Paul; Thompson, Milton (eds.). "Two Applications of Elementary Number Theory" (PDF). Transactions of the Illinois State Academy of Science. 52 (3–4). Springfield, Illinois, USA: 102–103. Archived (PDF) from the original on 2020-05-05. Retrieved 2020-05-05. [2] Archived 2020-08-17 at the Wayback Machine [3][4] (2 pages)

books.google.com (Global: 3^rd place; English: 3^rd place)

Blake, Archie (1938) [1937]. Canonical Expressions in Boolean Algebra (Dissertation) (Lithographed ed.). Chicago, Illinois, USA: University of Chicago Libraries. p. 36. p. 36: [...] this method was known to Peirce and his students [...] It is mentioned at several places in Studies in Logic, by members of the Johns Hopkins University, 1883 [...] (ii+60 pages)
Kämmerer, Wilhelm [in German] (May 1969). "I.12. Theorie: Minimierung Boolescher Funktionen". Written at Jena, Germany. In Frühauf, Hans [in German]; Kämmerer, Wilhelm; Schröder, Kurz; Winkler, Helmut (eds.). Digitale Automaten – Theorie, Struktur, Technik, Programmieren. Elektronisches Rechnen und Regeln (in German). Vol. 5 (1 ed.). Berlin, Germany: Akademie-Verlag GmbH. pp. 98, 103–104. License no. 202-100/416/69. Order no. 4666 ES 20 K 3. p. 98: [...] 1955 wurde das Verfahren auf die bequemere dezimale Schreibweise umgestellt (P. W. Abraham und I. G. Nordahl in [Caldwell]). [...] (NB. A second edition 1973 exists as well.)
Holdsworth, Brian; Woods, Clive (2002). "3.17 Decimal approach to Quine–McCluskey simplification of Boolean algebra". Digital Logic Design (4 ed.). Newnes Books / Elsevier Science. pp. 65–67. ISBN 0-7506-4588-2. Retrieved 2020-04-19.{{cite book}}: CS1 maint: ignored ISBN errors (link) (519 pages) [5]
Nelson, Victor P.; Nagle, H. Troy; Carroll, Bill D.; Irwin, J. David (1995). Digital Logic Circuit Analysis and Design (2 ed.). Prentice Hall. p. 234. ISBN 978-0-13463894-2. Retrieved 2014-08-26.

doi.org (Global: 2^nd place; English: 2^nd place)

Quine, Willard Van Orman (October 1952). "The Problem of Simplifying Truth Functions". The American Mathematical Monthly. 59 (8): 521–531. doi:10.2307/2308219. JSTOR 2308219.
Quine, Willard Van Orman (November 1955). "A Way to Simplify Truth Functions". The American Mathematical Monthly. 62 (9): 627–631. doi:10.2307/2307285. hdl:10338.dmlcz/142789. JSTOR 2307285.
McCluskey, Edward Joseph Jr. (November 1956). "Minimization of Boolean Functions". Bell System Technical Journal. 35 (6): 1417–1444. doi:10.1002/j.1538-7305.1956.tb03835.x. hdl:10338.dmlcz/102933. Retrieved 2014-08-24.
McColl, Hugh (1878-11-14). "The Calculus of Equivalent Statements (Third Paper)". Proceedings of the London Mathematical Society. s1-10 (1): 16–28. doi:10.1112/plms/s1-10.1.16.
Brown, Frank Markham (November 2010) [2010-10-27]. "McColl and Minimization". History and Philosophy of Logic. 31 (4). Taylor & Francis: 337–348. doi:10.1080/01445340.2010.517387. ISSN 1464-5149. S2CID 216590641. Archived from the original on 2020-04-15. Retrieved 2020-04-15.
Blake, Archie (June 1938). "Corrections to Canonical Expressions in Boolean Algebra". The Journal of Symbolic Logic. 3 (2). Association for Symbolic Logic: 112–113. doi:10.2307/2267595. ISSN 0022-4812. JSTOR 2267595. S2CID 5810863.
Nelson, Raymond J. (June 1955). "Simplest Normal Truth Functions". The Journal of Symbolic Logic. 20 (2). Association for Symbolic Logic: 105–108. doi:10.2307/2266893. JSTOR 2266893. S2CID 32920372. (4 pages)
McCluskey, Edward Joseph Jr. (June 1960). "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". The Journal of Symbolic Logic (Review). 25 (2): 185. doi:10.2307/2964263. JSTOR 2964263. S2CID 123530443. p. 185: [...] The results of this paper are presented in the more readily available book by S. H. Caldwell [...]. In this book, the author gives credit to Mullin and Kellner for development of the manipulations with the decimal numbers. (1 page)
Fielder, Daniel C. (December 1966). "Classroom Reduction of Boolean Functions". IEEE Transactions on Education. 9 (4). IEEE: 202–205. Bibcode:1966ITEdu...9..202F. doi:10.1109/TE.1966.4321989. eISSN 1557-9638. ISSN 0018-9359.
Majumder, Alak; Chowdhury, Barnali; Mondal, Abir J.; Jain, Kunj (2015-01-30) [2015-01-09]. Investigation on Quine McCluskey Method: A Decimal Manipulation Based Novel Approach for the Minimization of Boolean Function. 2015 International Conference on Electronic Design, Computer Networks & Automated Verification (EDCAV), Shillong, India (Conference paper). Department of Electronics & Communication, Engineering National Institute of Technology, Arunachal Pradesh Yupia, India. pp. 18–22. doi:10.1109/EDCAV.2015.7060531. Archived from the original on 2020-05-08. Retrieved 2020-05-08. [6] (NB. This work does not cite the prior art on decimal methods.) (5 pages)
Umans, Christopher; Villa, Tiziano; Sangiovanni-Vincentelli, Alberto Luigi (2006-06-05). "Complexity of two-level logic minimization". IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 25 (7): 1230–1246. Bibcode:2006ITCAD..25.1230U. doi:10.1109/TCAD.2005.855944. S2CID 10187481.
Chandra, Ashok K.; Markowsky, George (1978). "On the number of prime implicants". Discrete Mathematics. 24 (1): 7–11. doi:10.1016/0012-365X(78)90168-1.
Mossé, Milan; Sha, Harry; Tan, Li-Yang (2022). "A Generalization of the Satisfiability Coding Lemma and Its Applications". DROPS-IDN/V2/Document/10.4230/LIPIcs.SAT.2022.9. Leibniz International Proceedings in Informatics (LIPIcs). 236. Schloss Dagstuhl – Leibniz-Zentrum für Informatik: 9:1–9:18. doi:10.4230/LIPIcs.SAT.2022.9. ISBN 978-3-95977-242-6.
Feldman, Vitaly (2009). "Hardness of Approximate Two-Level Logic Minimization and PAC Learning with Membership Queries". Journal of Computer and System Sciences. 75: 13–25 [13–14]. doi:10.1016/j.jcss.2008.07.007.
Gimpel, James F. (1965). "A Method for Producing a Boolean Function Having an Arbitrary Prescribed Prime Implicant Table". IEEE Transactions on Computers. 14: 485–488. doi:10.1109/PGEC.1965.264175.
Paul, Wolfgang Jakob [in German] (1974). "Boolesche Minimalpolynome und Überdeckungsprobleme". Acta Informatica (in German). 4 (4): 321–336. doi:10.1007/BF00289615. S2CID 35973949.

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Quine, Willard Van Orman (November 1955). "A Way to Simplify Truth Functions". The American Mathematical Monthly. 62 (9): 627–631. doi:10.2307/2307285. hdl:10338.dmlcz/142789. JSTOR 2307285.
McCluskey, Edward Joseph Jr. (November 1956). "Minimization of Boolean Functions". Bell System Technical Journal. 35 (6): 1417–1444. doi:10.1002/j.1538-7305.1956.tb03835.x. hdl:10338.dmlcz/102933. Retrieved 2014-08-24.

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Fielder, Daniel C. (December 1966). "Classroom Reduction of Boolean Functions". IEEE Transactions on Education. 9 (4). IEEE: 202–205. Bibcode:1966ITEdu...9..202F. doi:10.1109/TE.1966.4321989. eISSN 1557-9638. ISSN 0018-9359.
Umans, Christopher; Villa, Tiziano; Sangiovanni-Vincentelli, Alberto Luigi (2006-06-05). "Complexity of two-level logic minimization". IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 25 (7): 1230–1246. Bibcode:2006ITCAD..25.1230U. doi:10.1109/TCAD.2005.855944. S2CID 10187481.

ilacadofsci.com (Global: low place; English: low place)

Mullin, Albert Alkins; Kellner, Wayne G. (1958). Written at University of Illinois, Urbana, USA and Electrical Engineering Department, Massachusetts Institute of Technology, Massachusetts, USA. "A Residue Test for Boolean Functions" (PDF). Transactions of the Illinois State Academy of Science (Teaching memorandum). 51 (3–4). Springfield, Illinois, USA: 14–19. S2CID 125171479. Archived (PDF) from the original on 2020-05-05. Retrieved 2020-05-05. [1] Archived 2020-08-17 at the Wayback Machine (6 pages) (NB. In his book, Caldwell dates this to November 1955 as a teaching memorandum. Since Mullin dates their work to 1958 in another work and Abrahams/Nordahl's class memorandum is also dated November 1955, this could be a copy error.)
Mullin, Albert Alkins (1960-03-15) [1959-09-19]. Written at University of Illinois, Urbana, USA. Fisher, Harvey I.; Ekblaw, George E.; Green, F. O.; Jones, Reece; Kruidenier, Francis; McGregor, John; Silva, Paul; Thompson, Milton (eds.). "Two Applications of Elementary Number Theory" (PDF). Transactions of the Illinois State Academy of Science. 52 (3–4). Springfield, Illinois, USA: 102–103. Archived (PDF) from the original on 2020-05-05. Retrieved 2020-05-05. [2] Archived 2020-08-17 at the Wayback Machine [3][4] (2 pages)

jellisonfuneralhome.com (Global: low place; English: low place)

"Welcome to the memorial page for John "Jack" G Nordahl June 14, 1933 ~ November 20, 2017 (age 84)". Jellison Funeral Home and Cremation Services. Archived from the original on 2020-05-05. Retrieved 2020-05-05.

jstor.org (Global: 26^th place; English: 20^th place)

Quine, Willard Van Orman (October 1952). "The Problem of Simplifying Truth Functions". The American Mathematical Monthly. 59 (8): 521–531. doi:10.2307/2308219. JSTOR 2308219.
Quine, Willard Van Orman (November 1955). "A Way to Simplify Truth Functions". The American Mathematical Monthly. 62 (9): 627–631. doi:10.2307/2307285. hdl:10338.dmlcz/142789. JSTOR 2307285.
Blake, Archie (June 1938). "Corrections to Canonical Expressions in Boolean Algebra". The Journal of Symbolic Logic. 3 (2). Association for Symbolic Logic: 112–113. doi:10.2307/2267595. ISSN 0022-4812. JSTOR 2267595. S2CID 5810863.
Nelson, Raymond J. (June 1955). "Simplest Normal Truth Functions". The Journal of Symbolic Logic. 20 (2). Association for Symbolic Logic: 105–108. doi:10.2307/2266893. JSTOR 2266893. S2CID 32920372. (4 pages)
McCluskey, Edward Joseph Jr. (June 1960). "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". The Journal of Symbolic Logic (Review). 25 (2): 185. doi:10.2307/2964263. JSTOR 2964263. S2CID 123530443. p. 185: [...] The results of this paper are presented in the more readily available book by S. H. Caldwell [...]. In this book, the author gives credit to Mullin and Kellner for development of the manipulations with the decimal numbers. (1 page)

loc.gov (Global: 70^th place; English: 63^rd place)

lccn.loc.gov

Caldwell, Samuel Hawks (1958-12-01) [February 1958]. "5.8. Operations Using Decimal Symbols". Written at Watertown, Massachusetts, USA. Switching Circuits and Logical Design. 5th printing September 1963 (1st ed.). New York, USA: John Wiley & Sons Inc. pp. 162–169. ISBN 0-47112969-0. LCCN 58-7896. p. 166: [...] It is a pleasure to record that this treatment is based on the work of two students during the period they were studying Switching Circuits at the Massachusetts Institute of Technology. They discussed the method independently and then collaborated in preparing a class memorandum: P. W. Abraham and J. G. Nordahl [...] {{cite book}}: ISBN / Date incompatibility (help) (xviii+686 pages) (NB. For the first major treatise of the decimal method in this book, it is sometimes misleadingly known as "Caldwell's decimal tabulation".)

oup.com (Global: 485^th place; English: 440^th place)

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McColl, Hugh (1878-11-14). "The Calculus of Equivalent Statements (Third Paper)". Proceedings of the London Mathematical Society. s1-10 (1): 16–28. doi:10.1112/plms/s1-10.1.16.

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Blake, Archie (June 1938). "Corrections to Canonical Expressions in Boolean Algebra". The Journal of Symbolic Logic. 3 (2). Association for Symbolic Logic: 112–113. doi:10.2307/2267595. ISSN 0022-4812. JSTOR 2267595. S2CID 5810863.

researchgate.net (Global: 120^th place; English: 125^th place)

Brown, Frank Markham (November 2010) [2010-10-27]. "McColl and Minimization". History and Philosophy of Logic. 31 (4). Taylor & Francis: 337–348. doi:10.1080/01445340.2010.517387. ISSN 1464-5149. S2CID 216590641. Archived from the original on 2020-04-15. Retrieved 2020-04-15.
Majumder, Alak; Chowdhury, Barnali; Mondal, Abir J.; Jain, Kunj (2015-01-30) [2015-01-09]. Investigation on Quine McCluskey Method: A Decimal Manipulation Based Novel Approach for the Minimization of Boolean Function. 2015 International Conference on Electronic Design, Computer Networks & Automated Verification (EDCAV), Shillong, India (Conference paper). Department of Electronics & Communication, Engineering National Institute of Technology, Arunachal Pradesh Yupia, India. pp. 18–22. doi:10.1109/EDCAV.2015.7060531. Archived from the original on 2020-05-08. Retrieved 2020-05-08. [6] (NB. This work does not cite the prior art on decimal methods.) (5 pages)

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Brown, Frank Markham (November 2010) [2010-10-27]. "McColl and Minimization". History and Philosophy of Logic. 31 (4). Taylor & Francis: 337–348. doi:10.1080/01445340.2010.517387. ISSN 1464-5149. S2CID 216590641. Archived from the original on 2020-04-15. Retrieved 2020-04-15.
Blake, Archie (June 1938). "Corrections to Canonical Expressions in Boolean Algebra". The Journal of Symbolic Logic. 3 (2). Association for Symbolic Logic: 112–113. doi:10.2307/2267595. ISSN 0022-4812. JSTOR 2267595. S2CID 5810863.
Nelson, Raymond J. (June 1955). "Simplest Normal Truth Functions". The Journal of Symbolic Logic. 20 (2). Association for Symbolic Logic: 105–108. doi:10.2307/2266893. JSTOR 2266893. S2CID 32920372. (4 pages)
Mullin, Albert Alkins; Kellner, Wayne G. (1958). Written at University of Illinois, Urbana, USA and Electrical Engineering Department, Massachusetts Institute of Technology, Massachusetts, USA. "A Residue Test for Boolean Functions" (PDF). Transactions of the Illinois State Academy of Science (Teaching memorandum). 51 (3–4). Springfield, Illinois, USA: 14–19. S2CID 125171479. Archived (PDF) from the original on 2020-05-05. Retrieved 2020-05-05. [1] Archived 2020-08-17 at the Wayback Machine (6 pages) (NB. In his book, Caldwell dates this to November 1955 as a teaching memorandum. Since Mullin dates their work to 1958 in another work and Abrahams/Nordahl's class memorandum is also dated November 1955, this could be a copy error.)
McCluskey, Edward Joseph Jr. (June 1960). "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". The Journal of Symbolic Logic (Review). 25 (2): 185. doi:10.2307/2964263. JSTOR 2964263. S2CID 123530443. p. 185: [...] The results of this paper are presented in the more readily available book by S. H. Caldwell [...]. In this book, the author gives credit to Mullin and Kellner for development of the manipulations with the decimal numbers. (1 page)
Umans, Christopher; Villa, Tiziano; Sangiovanni-Vincentelli, Alberto Luigi (2006-06-05). "Complexity of two-level logic minimization". IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 25 (7): 1230–1246. Bibcode:2006ITCAD..25.1230U. doi:10.1109/TCAD.2005.855944. S2CID 10187481.
Paul, Wolfgang Jakob [in German] (1974). "Boolesche Minimalpolynome und Überdeckungsprobleme". Acta Informatica (in German). 4 (4): 321–336. doi:10.1007/BF00289615. S2CID 35973949.

web.archive.org (Global: 1^st place; English: 1^st place)

Brown, Frank Markham (November 2010) [2010-10-27]. "McColl and Minimization". History and Philosophy of Logic. 31 (4). Taylor & Francis: 337–348. doi:10.1080/01445340.2010.517387. ISSN 1464-5149. S2CID 216590641. Archived from the original on 2020-04-15. Retrieved 2020-04-15.
"Welcome to the memorial page for John "Jack" G Nordahl June 14, 1933 ~ November 20, 2017 (age 84)". Jellison Funeral Home and Cremation Services. Archived from the original on 2020-05-05. Retrieved 2020-05-05.
Mullin, Albert Alkins; Kellner, Wayne G. (1958). Written at University of Illinois, Urbana, USA and Electrical Engineering Department, Massachusetts Institute of Technology, Massachusetts, USA. "A Residue Test for Boolean Functions" (PDF). Transactions of the Illinois State Academy of Science (Teaching memorandum). 51 (3–4). Springfield, Illinois, USA: 14–19. S2CID 125171479. Archived (PDF) from the original on 2020-05-05. Retrieved 2020-05-05. [1] Archived 2020-08-17 at the Wayback Machine (6 pages) (NB. In his book, Caldwell dates this to November 1955 as a teaching memorandum. Since Mullin dates their work to 1958 in another work and Abrahams/Nordahl's class memorandum is also dated November 1955, this could be a copy error.)
Mullin, Albert Alkins (1960-03-15) [1959-09-19]. Written at University of Illinois, Urbana, USA. Fisher, Harvey I.; Ekblaw, George E.; Green, F. O.; Jones, Reece; Kruidenier, Francis; McGregor, John; Silva, Paul; Thompson, Milton (eds.). "Two Applications of Elementary Number Theory" (PDF). Transactions of the Illinois State Academy of Science. 52 (3–4). Springfield, Illinois, USA: 102–103. Archived (PDF) from the original on 2020-05-05. Retrieved 2020-05-05. [2] Archived 2020-08-17 at the Wayback Machine [3][4] (2 pages)
Holdsworth, Brian; Woods, Clive (2002). "3.17 Decimal approach to Quine–McCluskey simplification of Boolean algebra". Digital Logic Design (4 ed.). Newnes Books / Elsevier Science. pp. 65–67. ISBN 0-7506-4588-2. Retrieved 2020-04-19.{{cite book}}: CS1 maint: ignored ISBN errors (link) (519 pages) [5]
Majumder, Alak; Chowdhury, Barnali; Mondal, Abir J.; Jain, Kunj (2015-01-30) [2015-01-09]. Investigation on Quine McCluskey Method: A Decimal Manipulation Based Novel Approach for the Minimization of Boolean Function. 2015 International Conference on Electronic Design, Computer Networks & Automated Verification (EDCAV), Shillong, India (Conference paper). Department of Electronics & Communication, Engineering National Institute of Technology, Arunachal Pradesh Yupia, India. pp. 18–22. doi:10.1109/EDCAV.2015.7060531. Archived from the original on 2020-05-08. Retrieved 2020-05-08. [6] (NB. This work does not cite the prior art on decimal methods.) (5 pages)

wikipedia.org (Global: low place; English: low place)

de.wikipedia.org

Kämmerer, Wilhelm [in German] (May 1969). "I.12. Theorie: Minimierung Boolescher Funktionen". Written at Jena, Germany. In Frühauf, Hans [in German]; Kämmerer, Wilhelm; Schröder, Kurz; Winkler, Helmut (eds.). Digitale Automaten – Theorie, Struktur, Technik, Programmieren. Elektronisches Rechnen und Regeln (in German). Vol. 5 (1 ed.). Berlin, Germany: Akademie-Verlag GmbH. pp. 98, 103–104. License no. 202-100/416/69. Order no. 4666 ES 20 K 3. p. 98: [...] 1955 wurde das Verfahren auf die bequemere dezimale Schreibweise umgestellt (P. W. Abraham und I. G. Nordahl in [Caldwell]). [...] (NB. A second edition 1973 exists as well.)
Paul, Wolfgang Jakob [in German] (1974). "Boolesche Minimalpolynome und Überdeckungsprobleme". Acta Informatica (in German). 4 (4): 321–336. doi:10.1007/BF00289615. S2CID 35973949.

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Brown, Frank Markham (November 2010) [2010-10-27]. "McColl and Minimization". History and Philosophy of Logic. 31 (4). Taylor & Francis: 337–348. doi:10.1080/01445340.2010.517387. ISSN 1464-5149. S2CID 216590641. Archived from the original on 2020-04-15. Retrieved 2020-04-15.
Blake, Archie (June 1938). "Corrections to Canonical Expressions in Boolean Algebra". The Journal of Symbolic Logic. 3 (2). Association for Symbolic Logic: 112–113. doi:10.2307/2267595. ISSN 0022-4812. JSTOR 2267595. S2CID 5810863.
Fielder, Daniel C. (December 1966). "Classroom Reduction of Boolean Functions". IEEE Transactions on Education. 9 (4). IEEE: 202–205. Bibcode:1966ITEdu...9..202F. doi:10.1109/TE.1966.4321989. eISSN 1557-9638. ISSN 0018-9359.

Quine–McCluskey algorithm (English Wikipedia)

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