- From: Jos De_Roo <jos.deroo@agfa.com>
- Date: Fri, 25 Apr 2003 09:50:19 +0200
- To: "Sandro Hawke <sandro" <sandro@w3.org>
- Cc: www-rdf-logic@w3.org, www-rdf-logic-request@w3.org
Sandro, in the "euler proof mechanism" we actually just use existing = and => vocabulary to construct a proof tree/argument/sequent (= for the bindings and => for the implications and, as it's all grounded, it's quite straightforward to validate those). You can find examples in http://eulersharp.sourceforge.net/2003/03swap/etc5-proof.n3 but that's indeed a rather implicit way and swap's http://www.w3.org/2000/10/swap/reason.n3 vocabulary looks great! -- , Jos De Roo, AGFA http://www.agfa.com/w3c/jdroo/ Sandro Hawke <sandro@w3.org> To: www-rdf-logic@w3.org Sent by: cc: www-rdf-logic-requ Subject: "explanations" in cwm, vocabulary for proof exchange est@w3.org 2003-04-23 05:14 AM I've been looking over TimBL's implementation of "--why" in cwm, which instructs cwm to present an explanation of its process. The explanation is currently in the form of an RDF description of the proof tree cwm develops using its normal forward-chaining process. The vocabulary, with some documentation is at http://www.w3.org/2000/10/swap/reason There's a related issue of how you describe the RDF graphs/formulas being related by proof steps. By default cwm uses its {...} formula literals, but this clearly is not RDF. This implementation uses a bit of http://www.w3.org/2000/10/swap/reify to provide referencial opacity, and could use one of the implementations of --flatten cwm has had from time to time. I know of other work on reifying FOL formulas for transmission via RDF by McDermott & Dou, Deborah McGuinness, and myself; I'm hoping Common Logic will provide a form for unifying that area. Anyway, I've attached some demonstration runs below. The output is IMHO quite hard to read (and I'm pretty comfortable with N3). This is not an explanation for end-users yet, but I think we're more interested in proof exchange for machine consumption (verification) right now anyway. I know McGuinness et al have done some work in this area [1], and I'm hoping to coordinate with them more. Is anyone else working in this area? -- sandro [1] http://www.ksl.stanford.edu/software/IW/ --------- Script started on Tue 22 Apr 2003 07:54:34 PM EDT bash-2.05b$ cwm rules-simple.n3 #Processed by Id: cwm.py,v 1.129 2003/04/08 16:12:43 timbl Exp # using base file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 # Notation3 generation by # notation3.py,v 1.137 2003/04/08 16:12:44 timbl Exp # Base was: file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 @prefix : <#> . @prefix daml: <http://www.daml.org/2001/03/daml+oil#> . @prefix log: <http://www.w3.org/2000/10/swap/log#> . this log:forAll :X . :Joe :likes :easterEggs . { :Joe :likes :X . } log:implies {:X :madeof :chocolate . } . #ENDS bash-2.05b$ cwm rules-simple.n3 --why #Processed by Id: cwm.py,v 1.129 2003/04/08 16:12:43 timbl Exp # using base file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 @@@@@@@ Proof of 0_work is <why.FormulaReason instance at 0x8361f5c> @@@@@@ notation3 167 loading file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 <why.BecauseOfCommandLine instance at 0x8379254> 0_work Now: 169 <why.BecauseOfCommandLine instance at 0x8379254> <why.FormulaReason instance at 0x8361f5c> 0_work # Notation3 generation by # notation3.py,v 1.137 2003/04/08 16:12:44 timbl Exp # Base was: file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 @prefix : <#> . @prefix daml: <http://www.daml.org/2001/03/daml+oil#> . @prefix log: <http://www.w3.org/2000/10/swap/log#> . @prefix n3: <http://www.w3.org/2000/10/swap/reify#> . @prefix reason: <http://www.w3.org/2000/10/swap/reason#> . @prefix run: <.run-1051055701.352555p22427#> . this log:forSome :_g0 . [ a reason:Conjunction, reason:Proof; reason:component [ a reason:Extraction; reason:because :_g0; reason:gives {this log:forAll :X . { :Joe :likes :X . } log:implies {:X :madeof :chocolate . } . } ], [ a reason:Extraction; reason:because :_g0; reason:gives {:Joe :likes :easterEggs . } ]; reason:gives {this log:forAll :X . :Joe :likes :easterEggs . { :Joe :likes :X . } log:implies {:X :madeof :chocolate . } . }; reason:universal "file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3#X" ]. :_g0 a reason:Parsing; reason:source <> . #ENDS bash-2.05b$ cwm rules-simple.n3 --why #Processed by Id: cwm.py,v 1.129 2003/04/08 16:12:43 timbl Exp # using base file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 # Notation3 generation by # notation3.py,v 1.137 2003/04/08 16:12:44 timbl Exp # Base was: file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 @prefix : <#> . @prefix daml: <http://www.daml.org/2001/03/daml+oil#> . @prefix log: <http://www.w3.org/2000/10/swap/log#> . this log:forAll :X . :Joe :likes :easterEggs . :easterEggs :madeof :chocolate . { :Joe :likes :X . } log:implies {:X :madeof :chocolate . } . #ENDS bash-2.05b$ cwm rules-simple.n3 --think --why #Processed by Id: cwm.py,v 1.129 2003/04/08 16:12:43 timbl Exp # using base file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 @@@@@@@ Proof of 0_work is <why.FormulaReason instance at 0x8382c44> @@@@@@ notation3 167 loading file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 <why.BecauseOfCommandLine instance at 0x8382c6c> 0_work Now: 169 <why.BecauseOfCommandLine instance at 0x8382c6c> <why.FormulaReason instance at 0x8382c44> 0_work # Notation3 generation by # notation3.py,v 1.137 2003/04/08 16:12:44 timbl Exp # Base was: file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3 @prefix : <http://www.w3.org/2000/10/swap/reason#> . @prefix daml: <http://www.daml.org/2001/03/daml+oil#> . @prefix log: <http://www.w3.org/2000/10/swap/log#> . @prefix n3: <http://www.w3.org/2000/10/swap/reify#> . @prefix run: <.run-1051055714.734827p22429#> . this log:forSome <#_g0> . [ a :Conjunction, :Proof; :component [ a :Extraction; :because [ a :Inference; :binding [ :boundTo [ n3:uri "file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3#easterEggs" ]; :variable [ n3:uri "file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3#X" ] ]; :evidence [ a :Extraction; :because <#_g0>; :gives {<#Joe> <#likes> <#easterEggs> . } ]; :rule [ a :Extraction; :because <#_g0>; :gives {this log:forAll <#X> . { <#Joe> <#likes> <#X> . } log:implies {<#X> <#madeof> <#chocolate> . } . } ] ]; :gives {<#easterEggs> <#madeof> <#chocolate> . } ], [ a :Extraction; :because <#_g0>; :gives {this log:forAll <#X> . { <#Joe> <#likes> <#X> . } log:implies {<#X> <#madeof> <#chocolate> . } . } ], [ a :Extraction; :because <#_g0>; :gives {<#Joe> <#likes> <#easterEggs> . } ]; :gives {this log:forAll <#X> . <#Joe> <#likes> <#easterEggs> . <#easterEggs> <#madeof> <#chocolate> . { <#Joe> <#likes> <#X> . } log:implies {<#X> <#madeof> <#chocolate> . } . }; :universal "file:/home/sandro/cvs/cvs.w3c.org/WWW/2000/10/swap/test/rules-simple.n3#X" ]. <#_g0> a :Parsing; :source <> . #ENDS bash-2.05b$ Script done on Tue 22 Apr 2003 07:55:16 PM EDT http://lists.w3.org/Archives/Public/www-tag/2002Jul/0128.html
Received on Friday, 25 April 2003 03:50:31 UTC