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About: First-Order Logic: inference rules

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

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Name: First-Order Logic: inference rules
ID: m10774
Language: English (en)
Summary: Using inference rules (formal proofs) for determining whether a first-order formula is true.
Subject: Science and Technology
Keywords: first-order inference rules
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)

Latest version: 2.27 (history)
First publication date: Jul 30, 2002 7:00 pm GMT-5
Last revision to module: Jan 9, 2009 10:39 am US/Central

Module XML: m10774_2.27.cnxml

Version History

Version: 2.27 Jan 9, 2009 10:39 am US/Central by John Greiner
Changes:
Improved MathML

Version: 2.26 Jan 7, 2009 12:29 pm US/Central by John Greiner
Changes:
Improved MathML

Version: 2.25 Jan 31, 2008 3:01 pm US/Central by John Greiner
Changes:
Improved some MathML.

Version: 2.24 Dec 7, 2007 10:58 am US/Central by John Greiner
Changes:
Minor wording fix.

Version: 2.23 Nov 16, 2007 12:18 pm US/Central by John Greiner
Changes:
Fixed some wording.

Version: 2.22 Jun 15, 2006 3:29 pm GMT-5 by Ian Barland
Changes:
Add "m:mtext" around hellip inside <subst>, and retreated on trying to get a greek letter inside a link (via our scheme scripts).

Version: 2.21 Feb 9, 2006 2:38 pm US/Central by John Greiner
Changes:
Changed substitution notation.

Version: 2.20 Feb 9, 2006 2:02 pm US/Central by John Greiner
Changes:
Added an example, some wording changes, improved formatting.

Version: 2.19 Mar 9, 2005 8:33 pm US/Central by Ian Barland
Changes:
Added m:row around subst, so that
proves had exactly two arguments.

Version: 2.18 Mar 9, 2005 8:30 pm US/Central by Ian Barland
Changes:
Improved parenthesization.

Version: 2.17 Mar 9, 2005 8:15 pm US/Central by Ian Barland
Changes:
Update roles;
add an explicit section for each of the four new rules.

Version: 2.16 Feb 11, 2005 2:01 am US/Central by Ian Barland
Changes:
updated def'n of "arbitrary"

Version: 2.15 Aug 18, 2004 9:25 am GMT-5 by Bryan Cash
Changes:
Glancing at file, no changes.

Version: 2.14 Aug 9, 2004 4:15 pm GMT-5 by Fuching Chi
Changes:
final publish

Version: 2.13 Aug 3, 2004 11:12 am GMT-5 by Sarah Trowbridge
Changes:
new name

Version: 2.12 Aug 2, 2004 11:25 am GMT-5 by Ian Barland
Changes:
monday publish- so that everyone in the workgroup can publish this module

Version: 2.11 May 28, 2004 1:48 pm GMT-5 by Ian Barland
Changes:
Added Bryan Cash as a maintainer.

Version: 2.10 May 14, 2004 2:25 pm GMT-5 by Ian Barland
Changes:
Sarah added as maintainer

Version: 2.9 Mar 15, 2004 4:01 pm US/Central by Ian Barland
Changes:
updated roles

Version: 2.8 Feb 4, 2004 7:30 pm US/Central by Ian Barland
Changes:
udpated for 2004.spring

Version: 2.7 Mar 20, 2003 12:00 am US/Central by Justin Garcia
Changes:
Sample text

Version: 2.6 Feb 18, 2003 12:00 am US/Central by Ian Barland
Changes:
Fix the names of "Exists-Elim",
remove brackets in proof-as-table-justificaitons.

Version: 2.5 Feb 18, 2003 12:00 am US/Central by Ian Barland
Changes:
Sample text

Version: 2.4 Feb 11, 2003 12:00 am US/Central by Ian Barland
Changes:
Sample text

Version: 2.3 Feb 3, 2003 12:00 am US/Central by (Unknown)
Changes:
Added maintainer

Version: 2.2 Oct 10, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Sample text

Version: 2.1 Jul 31, 2002 12:00 am GMT-5 by (Unknown)
Changes:
release 1

Version: 2.0 Jul 31, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Added initial template for new module m10774

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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. First-Order Logic: inference rules, Connexions Web site. http://cnx.org/content/m10774/2.27/, Jan 9, 2009.

American Medical Assocation (AMA) Manual of Style:

Barland I, Greiner J, Kolaitis P, Vardi M, Felleisen M. First-Order Logic: inference rules [Connexions Web site]. January 9, 2009. Available at: http://cnx.org/content/m10774/2.27/.

American Psychological Assocation (APA) Publication Manual:

Barland, I., Greiner, J., Kolaitis, P., Vardi, M., & Felleisen, M. (2009, January 9). First-Order Logic: inference rules. Retrieved from the Connexions Web site: http://cnx.org/content/m10774/2.27/

Chicago Manual of Style (Bibliography):

Barland, Ian, John Greiner, Phokion Kolaitis, Moshe Vardi, and Matthias Felleisen. "First-Order Logic: inference rules." Connexions. January 9, 2009. http://cnx.org/content/m10774/2.27/.

Chicago Manual of Style (Note):

Ian Barland and others, "First-Order Logic: inference rules," Connexions, January 9, 2009, http://cnx.org/content/m10774/2.27/.

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

Barland, I., Greiner, J., Kolaitis, P., Vardi, M., & Felleisen, M. 2009. First-Order Logic: inference rules. Connexions, January 9, 2009. http://cnx.org/content/m10774/2.27/.

Modern Languages Association (MLA) Style Manual:

Barland, Ian, John Greiner, Phokion Kolaitis, Moshe Vardi, and Matthias Felleisen. First-Order Logic: inference rules. Connexions. 9 Jan. 2009 <http://cnx.org/content/m10774/2.27/>.