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About: Reference: first-order equivalences

Module by: John Greiner, Phokion Kolaitis, Moshe Vardi, Matthias Felleisen. E-mail the authors

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Name: Reference: first-order equivalences
ID: m11045
Language: English (en)
Summary: Some equivalences for manipulation of first-order formulas.
Subject: Science and Technology
Keywords:
License: Creative Commons Attribution License CC-BY 1.0

Authors: 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: 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: John Greiner (greiner@cs.rice.edu), Ian Barland (ibarland@radford.edu)

Latest version: 2.18 (history)
First publication date: Feb 11, 2003 12:00 am US/Central
Last revision to module: Mar 24, 2009 3:40 pm GMT-5

Module XML: m11045_2.18.cnxml

Version History

Version: 2.18 Mar 24, 2009 3:40 pm GMT-5 by John Greiner
Changes:
Improved MathML.  Upgraded to CNXML 0.6.

Version: 2.17 Jan 20, 2009 4:17 pm US/Central by John Greiner
Changes:
Improved MathML.  Removed unnecessary hacks to get around former CNX display bugs.

Version: 2.16 Feb 7, 2008 2:55 pm US/Central by John Greiner
Changes:
Fixed typos in equations.

Version: 2.15 Jan 31, 2008 2:59 pm US/Central by John Greiner
Changes:
Improved layout.  Specified which distribution equivalences needed an empty domain.

Version: 2.14 Jan 31, 2007 2:50 pm US/Central by John Greiner
Changes:
Reworded a sentence.

Version: 2.13 Feb 7, 2006 1:45 pm US/Central by John Greiner
Changes:
Small wording changes

Version: 2.12 Mar 10, 2005 3:54 pm US/Central by Ian Barland
Changes:
Updated roles, metadata.

Version: 2.11 Mar 2, 2005 1:17 pm US/Central by Ian Barland
Changes:
Added "renaming" explicitly; noted that some rules required non-empty-universe.

Version: 2.10 Aug 9, 2004 4:25 pm GMT-5 by Fuching Chi
Changes:
final publish

Version: 2.9 Aug 9, 2004 11:46 am GMT-5 by Sarah Trowbridge
Changes:
new look

Version: 2.8 Aug 3, 2004 11:41 am GMT-5 by Sarah Trowbridge
Changes:
new name

Version: 2.7 Aug 2, 2004 11:38 am GMT-5 by Sarah Trowbridge
Changes:
reorganization

Version: 2.6 May 28, 2004 1:47 pm GMT-5 by Ian Barland
Changes:
Added Bryan Cash as a maintainer.

Version: 2.5 May 14, 2004 1:44 pm GMT-5 by Ian Barland
Changes:
Sarah added as maintainer

Version: 2.4 Mar 15, 2004 3:52 pm US/Central by Ian Barland
Changes:
updated roles

Version: 2.3 Feb 25, 2004 12:39 am US/Central by Ian Barland
Changes:
Includes a note to cite which distr. law.

Version: 2.2 Mar 17, 2003 12:00 am US/Central by Ian Barland
Changes:
added maintainer bih

Version: 2.1 Feb 13, 2003 12:00 am US/Central by Ian Barland
Changes:
Sample text

Version: 2.0 Feb 11, 2003 12:00 am US/Central by Ian Barland
Changes:
removed m:applying the quantifiers :-(

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If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include

  • the authors' names: John Greiner, Phokion Kolaitis, Moshe Vardi, Matthias Felleisen
  • the title of the work: Reference: first-order equivalences
  • the Connexions URL where the work can be found: http://cnx.org/content/m11045/2.18/

See the citation section below for examples you can copy.

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:

Greiner, J.; Kolaitis, P.; Vardi, M.; Felleisen, M. Reference: first-order equivalences, Connexions Web site. http://cnx.org/content/m11045/2.18/, Mar 24, 2009.

American Medical Assocation (AMA) Manual of Style:

Greiner J, Kolaitis P, Vardi M, Felleisen M. Reference: first-order equivalences [Connexions Web site]. March 24, 2009. Available at: http://cnx.org/content/m11045/2.18/.

American Psychological Assocation (APA) Publication Manual:

Greiner, J., Kolaitis, P., Vardi, M., & Felleisen, M. (2009, March 24). Reference: first-order equivalences. Retrieved from the Connexions Web site: http://cnx.org/content/m11045/2.18/

Chicago Manual of Style (Bibliography):

Greiner, John, Phokion Kolaitis, Moshe Vardi, and Matthias Felleisen. "Reference: first-order equivalences." Connexions. March 24, 2009. http://cnx.org/content/m11045/2.18/.

Chicago Manual of Style (Note):

John Greiner and others, "Reference: first-order equivalences," Connexions, March 24, 2009, http://cnx.org/content/m11045/2.18/.

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

Greiner, J., Kolaitis, P., Vardi, M., & Felleisen, M. 2009. Reference: first-order equivalences. Connexions, March 24, 2009. http://cnx.org/content/m11045/2.18/.

Modern Languages Association (MLA) Style Manual:

Greiner, John, Phokion Kolaitis, Moshe Vardi, and Matthias Felleisen. Reference: first-order equivalences. Connexions. 24 Mar. 2009 <http://cnx.org/content/m11045/2.18/>.