Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Boolean algebra (structure)
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
== References == {{reflist|30em}} ===Works cited=== *{{cite book |first1=B.A. |last1=Davey |author2link = Hilary Priestley|first2=H.A. |last2=Priestley | title=Introduction to Lattices and Order | title-link= Introduction to Lattices and Order | year=1990 | publisher=Cambridge University Press | series=Cambridge Mathematical Textbooks}} *{{citation|title=Basic Algebra: Groups, Rings, and Fields|first=Paul M.|last=Cohn|publisher= Springer |year=2003 |isbn=9781852335878 |pages=51, 70–81 |author-link=Paul Cohn}} *{{citation | last1 = Givant | first1 = Steven | first2 = Paul | last2 = Halmos |author2link = Paul Halmos | year = 2009 | title = Introduction to Boolean Algebras | series = [[Undergraduate Texts in Mathematics]] | publisher = [[Springer Science+Business Media|Springer]] | isbn = 978-0-387-40293-2}}. *{{citation|title=Boolean Algebra|first=R. L.|last=Goodstein|authorlink = Reuben Goodstein|publisher=Courier Dover Publications|year=2012|isbn=9780486154978|chapter=Chapter 2: The self-dual system of axioms|pages=21ff|chapter-url=https://books.google.com/books?id=0fxW2KiyxWwC&pg=PA21}} *{{cite journal | last1=Hsiang | first1=Jieh | title=Refutational Theorem Proving Using Term Rewriting Systems | journal= [[Artificial Intelligence (journal)|Artificial Intelligence]] | year=1985 | volume=25 | issue=3 | pages=255–300 | url=https://www.researchgate.net/publication/223327412 | doi=10.1016/0004-3702(85)90074-8 }} *{{cite journal | author-link=Edward V. Huntington | first1=Edward V. | last1=Huntington | title=Sets of Independent Postulates for the Algebra of Logic | journal=[[Transactions of the American Mathematical Society]] | year=1904 | volume=5 | issue=3 | pages=288–309 | jstor=1986459 | doi=10.1090/s0002-9947-1904-1500675-4| url=https://zenodo.org/record/1431563 | doi-access=free }} *{{citation | last1 = Padmanabhan | first1 = Ranganathan | last2 = Rudeanu | first2 = Sergiu | year = 2008 | title = Axioms for lattices and boolean algebras | publisher = World Scientific | isbn = 978-981-283-454-6}}. *{{cite journal | author-link=Marshall H. Stone | first1=Marshall H. | last1=Stone | title=The Theory of Representations for Boolean Algebra | journal=[[Transactions of the American Mathematical Society]] | year=1936 | volume=40 | pages=37–111 | doi=10.1090/s0002-9947-1936-1501865-8| doi-access=free }} *{{cite book | author-link=A.N. Whitehead | first1=A.N. | last1=Whitehead | title=A Treatise on Universal Algebra | year=1898 | publisher=Cambridge University Press | isbn=978-1-4297-0032-0 | url=http://projecteuclid.org/euclid.chmm/1263316509}} === General references === {{more footnotes needed|date=July 2013}} *{{citation | last1 = Brown | first1 = Stephen | last2 = Vranesic | first2 = Zvonko | year = 2002 | title = Fundamentals of Digital Logic with VHDL Design | edition = 2nd | publisher = [[McGraw-Hill|McGraw–Hill]] | isbn = 978-0-07-249938-4}}. See Section 2.5. *{{cite journal |first1=A. |last1=Boudet |first2=J.P. |last2=Jouannaud |first3=M. |last3=Schmidt-Schauß | title=Unification in Boolean Rings and Abelian Groups | journal=[[Journal of Symbolic Computation]] | year=1989 | volume=8 |issue=5 | pages=449–477 | doi=10.1016/s0747-7171(89)80054-9|doi-access=free }} *{{citation | last1 = Cori | first1 = Rene | last2 = Lascar | first2 = Daniel | year = 2000 | title = Mathematical Logic: A Course with Exercises | publisher = [[Oxford University Press]] | isbn = 978-0-19-850048-3}}. See Chapter 2. *{{citation | last = Dahn | first = B. I. | year = 1998 | title = Robbins Algebras are Boolean: A Revision of McCune's Computer-Generated Solution of the Robbins Problem | journal = [[Journal of Algebra]] | volume = 208 | pages = 526–532 | doi = 10.1006/jabr.1998.7467 | issue = 2| doi-access = free }}. *{{citation | author-link = Paul Halmos | last = Halmos | first = Paul | year = 1963 | title = Lectures on Boolean Algebras | publisher = Van Nostrand | isbn = 978-0-387-90094-0}}. *{{citation | author-link1 = Paul Halmos | last1 = Halmos | first1 = Paul | first2 = Steven | last2 = Givant | year = 1998 | title = Logic as Algebra | series = Dolciani Mathematical Expositions | volume = 21 | publisher = [[Mathematical Association of America]] | isbn = 978-0-88385-327-6 | url-access = registration | url = https://archive.org/details/logicasalgebra0000halm }}. *{{citation | author-link = Edward Vermilye Huntington | last = Huntington | first = E. V. | year = 1933a | title = New sets of independent postulates for the algebra of logic | journal = [[Transactions of the American Mathematical Society]] | volume = 35 | pages = 274–304 | doi = 10.2307/1989325 | issue = 1 | publisher = American Mathematical Society | url = https://www.ams.org/journals/tran/1933-035-01/S0002-9947-1933-1501684-X/S0002-9947-1933-1501684-X.pdf | jstor = 1989325}}. *{{citation | author-link = Edward Vermilye Huntington | last = Huntington | first = E. V. | year = 1933b | title = Boolean algebra: A correction | journal = [[Transactions of the American Mathematical Society]] | volume = 35 | pages = 557–558 | doi = 10.2307/1989783 | issue = 2 | jstor = 1989783}} *{{citation | last = Mendelson | first = Elliott | year = 1970 | title = Boolean Algebra and Switching Circuits | series = Schaum's Outline Series in Mathematics | publisher = [[McGraw-Hill|McGraw–Hill]] | isbn = 978-0-07-041460-0 | url-access = registration | url = https://archive.org/details/schaumsoutlineof00mend }} *{{citation | editor1-last = Monk | editor1-first = J. Donald | editor2-first = R. | editor2-last = Bonnet | year = 1989 | title = Handbook of Boolean Algebras | publisher = [[Elsevier|North-Holland]] | isbn = 978-0-444-87291-3 | url-access = registration | url = https://archive.org/details/handbookofboolea0000unse }}. In 3 volumes. (Vol.1:{{ISBN|978-0-444-70261-6}}, Vol.2:{{ISBN|978-0-444-87152-7}}, Vol.3:{{ISBN|978-0-444-87153-4}}) *{{citation | author-link = Roman Sikorski | last = Sikorski | first = Roman | year = 1966 | title = Boolean Algebras | series = Ergebnisse der Mathematik und ihrer Grenzgebiete | publisher = [[Springer Verlag]] | ref = Sikorski1966BooleanAlgebras }}. *{{citation | last = Stoll | first = R. R. | year = 1963 | title = Set Theory and Logic | publisher = W. H. Freeman | isbn = 978-0-486-63829-4}}. Reprinted by [[Dover Publications]], 1979.
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Boolean algebra (structure)
(section)
Add topic