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About: Propositional Logic: equivalences

Module by: Ian Barland, John Greiner, Phokion Kolaitis, Moshe Vardi, Matthias Felleisen

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Name: Propositional Logic: equivalences
ID: m10717
Language: English (en)
Summary: How to use identities to determine whether two propositional formulas are equivalent.
Subject: Mathematics and Statistics
Keywords:
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0

Authors: Ian Barland (ibarland@radford.edu), John Greiner (greiner@cs.rice.edu), Phokion Kolaitis (kolaitis@cse.ucsc.edu), Moshe Vardi (vardi@cs.rice.edu), Matthias Felleisen (matthias@ccs.neu.edu)
Copyright Holders: Ian Barland (ibarland@radford.edu), John Greiner (greiner@cs.rice.edu), Phokion Kolaitis (kolaitis@cse.ucsc.edu), Moshe Vardi (vardi@cs.rice.edu), Matthias Felleisen (matthias@ccs.neu.edu)
Maintainers: Ian Barland (ibarland@radford.edu), John Greiner (greiner@cs.rice.edu)

Version: 2.40 (history)
Created: Jul 8, 2002 12:00 am GMT-5
Revised: Jan 7, 2009 12:26 pm US/Central

Version History

Version: 2.40 Jan 7, 2009 12:26 pm US/Central by John Greiner
Changes:
Improved MathML

Version: 2.39 Feb 7, 2008 8:19 am US/Central by John Greiner
Changes:
Proper MathML

Version: 2.38 Nov 16, 2007 12:17 pm US/Central by John Greiner
Changes:
Fixed some wording.

Version: 2.37 Jun 15, 2006 4:06 pm GMT-5 by Ian Barland
Changes:
Added the "from the rule ..., with a/z,b/2".

Version: 2.36 Mar 10, 2005 3:30 pm US/Central by Ian Barland
Changes:
Updated roles, metadata.

Version: 2.35 Jan 21, 2005 5:43 pm US/Central by Ian Barland
Changes:
Mentioned contrapositive and converse here (as well as later in IIe).

Version: 2.34 Jan 18, 2005 9:55 am US/Central by Ian Barland
Changes:
re-enable solutions

Version: 2.33 Aug 6, 2004 4:23 pm GMT-5 by Fuching Chi
Changes:
final publish with tags "functions", "relation", "constant" and "apply-rel" is removed

Version: 2.32 Aug 3, 2004 11:15 am GMT-5 by Sarah Trowbridge
Changes:
new name

Version: 2.31 Aug 2, 2004 11:40 am GMT-5 by Ian Barland
Changes:
monday publish- so that everyone in the workgroup can publish this module

Version: 2.30 Feb 9, 2003 12:00 am US/Central by Ian Barland
Changes:
Fixed soln1,step3 justification.

Version: 2.29 Feb 8, 2003 12:00 am US/Central by Ian Barland
Changes:
fix typos.

Version: 2.28 Feb 3, 2003 12:00 am US/Central by (Unknown)
Changes:
perhaps nothing

Version: 2.27 Feb 3, 2003 12:00 am US/Central by (Unknown)
Changes:
*** empty log message ***

Version: 2.26 Jan 30, 2003 12:00 am US/Central by (Unknown)
Changes:
Typo fix (harr to rarr)

Version: 2.25 Jan 30, 2003 12:00 am US/Central by (Unknown)
Changes:
neatening up

Version: 2.24 Jan 30, 2003 12:00 am US/Central by (Unknown)
Changes:
Sample text

Version: 2.23 Jan 30, 2003 12:00 am US/Central by (Unknown)
Changes:
mathml regression

Version: 2.22 Jan 24, 2003 12:00 am US/Central by (Unknown)
Changes:
oops include solutions to sample probs

Version: 2.21 Jan 22, 2003 12:00 am US/Central by (Unknown)
Changes:
Sample text

Version: 2.20 Oct 9, 2002 12:00 am GMT-5 by (Unknown)
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Sample text

Version: 2.19 Oct 9, 2002 12:00 am GMT-5 by (Unknown)
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Sample text

Version: 2.18 Sep 20, 2002 12:00 am GMT-5 by (Unknown)
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Sample text

Version: 2.17 Sep 17, 2002 12:00 am GMT-5 by (Unknown)
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Sample text

Version: 2.16 Sep 10, 2002 12:00 am GMT-5 by (Unknown)
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Sample text

Version: 2.15 Sep 10, 2002 12:00 am GMT-5 by (Unknown)
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Sample text

Version: 2.14 Jul 31, 2002 12:00 am GMT-5 by (Unknown)
Changes:
release 1

Version: 2.13 Jul 26, 2002 12:00 am GMT-5 by (Unknown)
Changes:
upgraded to cnxml 0.4 (source too)

Version: 2.12 Jul 25, 2002 12:00 am GMT-5 by (Unknown)
Changes:
corrected typos, added notation for CNF, etc.

Version: 2.11 Jul 23, 2002 12:00 am GMT-5 by (Unknown)
Changes:
*** empty log message ***

Version: 2.10 Jul 23, 2002 12:00 am GMT-5 by (Unknown)
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*** empty log message ***

Version: 2.9 Jul 23, 2002 12:00 am GMT-5 by (Unknown)
Changes:
added demorgan image

Version: 2.8 Jul 23, 2002 12:00 am GMT-5 by (Unknown)
Changes:
*** empty log message ***

Version: 2.7 Jul 23, 2002 12:00 am GMT-5 by (Unknown)
Changes:
generating pdf works

Version: 2.6 Jul 23, 2002 12:00 am GMT-5 by (Unknown)
Changes:
oops

Version: 2.5 Jul 23, 2002 12:00 am GMT-5 by (Unknown)
Changes:
*** empty log message ***

Version: 2.4 Jul 22, 2002 12:00 am GMT-5 by (Unknown)
Changes:
nothing

Version: 2.3 Jul 18, 2002 12:00 am GMT-5 by (Unknown)
Changes:
made this match what is current in the cvs repository

Version: 2.2 Jul 11, 2002 12:00 am GMT-5 by (Unknown)
Changes:
updated author / maintainers

Version: 2.1 Jul 8, 2002 12:00 am GMT-5 by (Unknown)
Changes:
formatting and stuff

Version: 2.0 Jul 8, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Added initial template for new module m10717

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  • the authors' names: Ian Barland, John Greiner, Phokion Kolaitis, Moshe Vardi, Matthias Felleisen
  • the title of the work: Propositional Logic: equivalences
  • the Connexions URL where the work can be found: http://cnx.org/content/m10717/2.40/

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How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:

American Chemical Society (ACS) Style Guide:

Barland, I.; Greiner, J.; Kolaitis, P.; Vardi, M.; Felleisen, M. Propositional Logic: equivalences, Connexions Web site. http://cnx.org/content/m10717/2.40/, Jan 7, 2009.

American Medical Assocation (AMA) Manual of Style:

Barland I, Greiner J, Kolaitis P, Vardi M, Felleisen M. Propositional Logic: equivalences [Connexions Web site]. January 7, 2009. Available at: http://cnx.org/content/m10717/2.40/.

American Psychological Assocation (APA) Publication Manual:

Barland, I., Greiner, J., Kolaitis, P., Vardi, M., & Felleisen, M. (2009, January 7). Propositional Logic: equivalences. Retrieved from the Connexions Web site: http://cnx.org/content/m10717/2.40/

Chicago Manual of Style (Bibliography):

Barland, Ian, John Greiner, Phokion Kolaitis, Moshe Vardi, and Matthias Felleisen. "Propositional Logic: equivalences." Connexions. January 7, 2009. http://cnx.org/content/m10717/2.40/.

Chicago Manual of Style (Note):

Ian Barland and others, "Propositional Logic: equivalences," Connexions, January 7, 2009, http://cnx.org/content/m10717/2.40/.

Chicago Manual of Style (Reference, in Author-Date style):

Barland, I., Greiner, J., Kolaitis, P., Vardi, M., & Felleisen, M. 2009. Propositional Logic: equivalences. Connexions, January 7, 2009. http://cnx.org/content/m10717/2.40/.

Modern Languages Association (MLA) Style Manual:

Barland, Ian, John Greiner, Phokion Kolaitis, Moshe Vardi, and Matthias Felleisen. Propositional Logic: equivalences. Connexions. 7 Jan. 2009 <http://cnx.org/content/m10717/2.40/>.