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Re: [ontolog-forum] Paraconsistent Logic

To: "'[ontolog-forum] '" <ontolog-forum@xxxxxxxxxxxxxxxx>
From: "Rich Cooper" <rich@xxxxxxxxxxxxxxxxxxxxxx>
Date: Sat, 26 Jul 2014 15:34:34 -0700
Message-id: <08b501cfa921$c752c8e0$55f85aa0$@englishlogickernel.com>
Thanks Leo, that paper is helpful,    (01)

-Rich    (02)

Sincerely,
Rich Cooper
EnglishLogicKernel.com
Rich AT EnglishLogicKernel DOT com
9 4 9 \ 5 2 5 - 5 7 1 2    (03)

-----Original Message-----
From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx
[mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On
Behalf Of Obrst, Leo J.
Sent: Saturday, July 26, 2014 1:27 PM
To: [ontolog-forum] 
Subject: Re: [ontolog-forum] Paraconsistent Logic    (04)

Correction:    (05)

Finger, Marcelo; Rodger Kibble; Dov Gabbay; Ruth
Kempson. 1997. Parsing Natural Language Using LDS:
a Prototype.
http://citeseerx.ist.psu.edu/viewdoc/download?doi=
10.1.1.27.1968&rep=rep1&type=pdf.     (06)

>-----Original Message-----
>From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx
[mailto:ontolog-forum-
>bounces@xxxxxxxxxxxxxxxx] On Behalf Of Obrst, Leo
J.
>Sent: Saturday, July 26, 2014 3:58 PM
>To: [ontolog-forum]
>Subject: Re: [ontolog-forum] Paraconsistent Logic
>
>Sure. Ruth Kempson did some early work in
linguistics/nlp using labelled
>deduction:
>
>Finger, Marcelo; Rodger Kibble; Dov Gabbay; Ruth
Kempson. 1997. Parsing
>Natural Language Using LDS: a
>http://citeseerx.ist.psu.edu/viewdoc/download?doi
=10.1.1.27.1968&rep=rep1
>&type=pdf.
>
>I had also mentioned this before:
http://ontolog.cim3.net/forum/ontolog-
>forum/2012-08/msg00020.html.
>
>Thanks,
>Leo
>
>>-----Original Message-----
>>From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx
[mailto:ontolog-forum-
>>bounces@xxxxxxxxxxxxxxxx] On Behalf Of Rich
Cooper
>>Sent: Saturday, July 26, 2014 3:41 PM
>>To: '[ontolog-forum] '
>>Subject: Re: [ontolog-forum] Paraconsistent
Logic
>>
>>Thanks Leo and John,
>>
>>The phrase "Labeled Deductive Systems" sounds
very
>>interesting, but the Gabbay book costs $50 used.
>>PDFs I found covered the topic but only in the
>>math, nothing intuitive in the way of explaining
>>the what how and why of labeled deductive
systems.
>>
>>
>>There seems to be a dual system in play, one
>>called the Labels and the other the deduction
>>rules.  That reminds me of the Link Grammar
>>Parser, which applies at least two layers of
>>labels to its syntax rules and matches the
labels
>>against other labels stored as properties of the
>>language's vocabulary.
>>
>>So with only the LGP as the exemplar, can anyone
>>shed some more light on why how and what you
would
>>use a labeled deductive system for?
>>
>>-Rich
>>
>>Sincerely,
>>Rich Cooper
>>EnglishLogicKernel.com
>>Rich AT EnglishLogicKernel DOT com
>>9 4 9 \ 5 2 5 - 5 7 1 2
>>
>>-----Original Message-----
>>From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx
>>[mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx]
On
>>Behalf Of Obrst, Leo J.
>>Sent: Saturday, July 26, 2014 12:09 PM
>>To: [ontolog-forum]
>>Subject: Re: [ontolog-forum] Paraconsistent
Logic
>>
>>John,
>>
>>RE: combining logics, you might also look at
>>Labelled Deduction, which when pushed into the
>>object language is a so-called "Hybrid Logic"
>>[1-4], i.e., an extended modal logic.
>>
>>One might even consider IKL similar to a hybrid
>>logic, I guess, as Pat Hayes suggests [5].
>>
>>[1] Gabbay, Dov. 1996. Labelled Deductive
Systems;
>>Principles and Applications. Vol 1:
Introduction.
>>Oxford University Press.
>>
>>[2] Blackburn, Patrick. 1999. Internalizing
>>Labelled Deduction. In Proceedings of Hylo'99,
>>First International Workshop on Hybrid Logics.
>>July 13th, 1999, Saarbrücken, Germany. Published
>>in Journal of Logic and Computation, 2000
>>10(1):137-168.
>>
>>[3] Hybrid Logic.
>>http://en.wikipedia.org/wiki/Hybrid_logic.
>>
>>[4] Hybrid Logic.
>>http://plato.stanford.edu/entries/logic-hybrid/.
>>
>>[5] Hayes, Pat.  Contexts and modalities in IKL.
>>http://www.ihmc.us/users/phayes/IKL/GUIDE/GUIDE.
ht
>>ml#ContextsModalities.
>>
>>>-----Original Message-----
>>>From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx
>>[mailto:ontolog-forum-
>>>bounces@xxxxxxxxxxxxxxxx] On Behalf Of John F
>>Sowa
>>>Sent: Saturday, July 26, 2014 12:18 PM
>>>To: ontolog-forum@xxxxxxxxxxxxxxxx
>>>Subject: Re: [ontolog-forum] Paraconsistent
Logic
>>>
>>>Joel Luis, Rich, and Tara,
>>>
>>>Thanks for the references.
>>>
>>>JLC
>>>> I think that I have found some
applications...
>>>
>>>Yes, those are good examples of useful
>>applications.  I did not
>>>track down all the references, but the first
one
>>contained the
>>>comment "last, we state our future development
of
>>EVALPSN for
>>>defeasible deontic control."
>>>
>>>That confirms my suspicion that this is an
>>interesting research
>>>area, but the applications are still
exploratory
>>developments.
>>>It's mostly R with wishful thinking about
>>practical D.
>>>
>>>RC
>>>> Here is an article that explains the basic
>>math:
>>>>
>>>> 3.3 On the Philosophy and Mathematics
>>>> of the Logics of Formal Inconsistency
>>>>
>>>> which starts on page 19 of the following URL:
>>>>
>>http://www.paraconsistency.org/book/Handbook-WCP
5.
>>pdf
>>>
>>>The book covers a wide range of topics on
>>reasoning about inconsistency
>>>by computers *and* by humans.
>>>
>>>It led me to a good survey article about
methods
>>for combining logics:
>>>http://plato.stanford.edu/entries/logic-combini
ng
>>/
>>>
>>>This is another example of heavy R and little
or
>>no D.  If I were
>>>advising an engineer with a limited budget and
a
>>tight deadline,
>>>I'd suggest something else.
>>>
>>>TA
>>>> Based on the Stanford article, I would say
that
>>that following
>>>> all qualify as paraconsistent logics
(emphasis
>>on the plural)
>>>> * Defeasible Logics
>>>> * Default Logics
>>>> * Fuzzy Logics
>>>> * Logic programming with negation as failure
>>>
>>>I agree that all of them are related ways of
>>addressing similar
>>>problems.  In fact, the article mentioned above
>>discusses the
>>>relationship between EVALPSN and "conventional
>>logic programming".
>>>
>>>But these methods have been used in practical
>>applications for
>>>over 3o years.  Perhaps the theories of
>>paraconsistent logic may
>>>provide a unified foundation for them.  That
>>would be useful.
>>>
>>>> It appears that paraconsistent logics must be
>>non-monotonic.
>>>> I think it is important to bear in mind that
>>paraconsistent
>>>> is a characteristic that a logic can have,
but
>>many different
>>>> logics can have this characteristic.
>>>
>>>I agree.
>>>
>>>I would add belief revision as a method of
>>handling similar problems.
>>>BR methods use metalevel reasoning about
possibly
>>inconsistent FO
>>>theories to produce a revised and consistent FO
>>theory.
>>>
>>>For a good 42-page intro and overview of belief
>>revision methods,
>>>
>>>    Peppas, Pavlos (2008) Belief revision,
>>_Handbook of KR_,
>>>    http://pavlos.bma.upatras.gr/papers/8.pdf
>>>
>>>The advantage of belief (or theory) revision is
>>that the final
>>>result is FOL, which can be represented and
>>implemented in a
>>>wide range of well supported systems.
>>>
>>>John
>>>
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