What if every subject that we think about can have explicit representation in our computers?

Inference in Ontopedia

 

I just finished reading “Semantic Web for the Working Ontologist: Modeling in RDF, RDFS and OWL”. Great book! Lots of examples and deep exploration of Semantic Web fundamentals. It inspired me… not to use OWL, no… but to describe how we approach inference/reasoning in Ontopedia.

There are several fundamental principles that we try to follow developing inference capabilities in Ontopedia.

Paraconsistency

We assume that Ontopedia’s knowledge base can have contradictions at any time. We try to develop a system that can do “reasonable” inferences within inconsistent knowledge base.

Non-monotonic, Adaptive Knowledge Base

People change opinions, modify existing and create new theories (formal and informal). People learn new things, they can be convinced and taught (sometimes). There is evolution in general and personal knowledge. We would like to support these “subject-centric” features.

In simple cases, Ontopedia users can change their factual assertions. This can trigger truth maintenance processes and revision of other assertions. Ontopedia also keeps history of assertions – “Who asserted What and When”

Minimization of Inconsistency

We try to create a system that can operate/reason within inconsistent knowledge base. But it is not enough. We embed mechanisms that allow to identify inconsistencies and help to resolve them. Knowledge conflicts are “first class objects” in Ontopedia and are organized based on conflict types. Each knowledge conflict type has conditions that describe how conflicts of this type can be identified. There are also some recommendations for resolving conflicts. In general, Ontopedia’s user community tries to minimize knowledge inconsistency and Ontopedia system “tries” to help users to achieve this goal.

Inference Transparency and Information Provenance

Inference is not an easy process, contradictions are tough, knowledge evolution is challenging. We do not try to create an illusion that these things are easy and that a user can just “click a button” and magically get “all” inferred assertions, we do not try to “virtualize” inference and hide it behind a query language, for example. We think about inference as a process that can be time and resource consuming and can include multiple steps. Ontopedia provides facilities to record various steps of inference process. Inference tracing is an important part of Information Provenance in Ontopedia. We keep track of “Who asserted What and When” and we also keep track of “What was Inferred based on What and Why”.

Multiple Inference Modules and Decision Procedure

RDFS inference rules are useful, RDFS+ adds some new tricks. OWL 1.0 inference looks interesting in many contexts and OWL 2.0 looks even better. What about Common Logic? What about Cyc-like inference?... Ontopedia’s system architecture supports various inference modules. Each module can generate proposals based on the current state of Ontopedia’s knowledge base. These proposals are recorded in the knowledge base but they do not automatically become Ontopedia’s “visible” assertions. Different inference modules can produce controversial proposals, it’s OK. Various proposals are considered by Ontopedia’s decision procedure that calculates “final” assertion that becomes “visible” on Ontopedia’s web site. Decision procedure can be invoked on any assertion at any time. Ontopedia’s knowledge base is not limited by “true” only statements. We utilize multi-valued truth including “unknown.”

Loosely Coupled Inference, Decision Making, and Truth Maintenance

Ontopedia is a system that can “infer a little bit something here”, “find some knowledge conflicts there”, “make some new decisions”, “infer a little bit more”, “review some decisions” etc. All these activities can be performed in any order by various components. All activities are recorded in the “activity log” (it is available as RSS/ATOM feed). Various modules can explore activity log and use it for managing own activities and cooperation between modules. In general, modules can run in parallel in various areas of Ontopedia’s knowledge base. These activities can be directed buy user community through user interface or can be directed by “controller” software components.

I developed this approach and related system architecture in late 80s and used it successfully in various projects for relatively small data sets during last 20 years. What is exciting about 2010? It’s availability of huge data sets on the Web. There is also experience in building Social Web and much better understanding of Collective Intelligence. I could only envision in 1990 that it would be possible to build large stable evolving paraconsistent open knowledge based systems. In 2010, I am pretty sure about this.

 
· Common Logic · Cyc · OWL · Paraconsistent logic · Subject-centric computing ·

Subject-centric applications: toward subject-centric computing

 

Recently we added a small framework that allows us to build/use subject-centric applications in Ontopedia. Within traditional paradigm of application-centric computing, we have to start an application (or go to some domain/function specific website) and then we can change application/website context. Within subject-centric environment, we can select a subject and then we can have access to various applications/functions that can be used with the subject in context

As an example, we implemented basic subject-centric application ‘Company headquarters map’. It can be used for various companies. This app tries to find a geo point of company headquarters and map it using Google Maps service.

Live example: Tibco Software Headquarters on a map

Subject-centric apps can use information recorded in Ontopedia knowledge map and provide rich, user friendly interactivity. They also can use external data sources and submit pieces of information to Ontopedia knowledge map.

If we have just one application, this is not too exciting. But we are talking about a framework that allows us to integrate multiple subject-centric apps which are relevant to various subjects. All these applications have a very important feature in common – they can ‘sense’ current subject context. This approach can be used on the Web or on a new generation of desktops.

More info about my perspective on knowledge maps/grids, subject-centric pages, widgets, apps can be found in these references:

Fundamentals and possibilities are described perfectly in Steve Pepper’s presentation on Topic Maps 2008 (PPT format):

 
· Subject-centric computing · Topic Maps ·

"Creating Linked Data" by Jeni Tennison

 

Jeni Tennison published several excellent blog entries which describe process of creating Linked Data. If you are interested in semantic technologies, you will find lots of important ideas in these postings

From Jeni’s Musings :

We have more and more Linked Data (published in RDF). I think that it is very important to find a way of using RDF data in Linked Topic Maps, and vice-versa. Traditional approach to RDF/Topic Maps mapping is based on idea of mapping between RDF Object Properties and Associations. I have been playing with the idea of mapping between Object Properties and Occurrences for quite some time. In Ontopedia, it is possible to represent RDF object properties directly as “occurrences”. Mapping between subject-centric occurrences and associations can be done later as results of inference. In Ontopedia, from user experience, there is no big difference between associations and subject-centric occurrences: identifiers, locators, names, associations, and occurrences are rendered as subject “properties”. I think that with this approach, RDF data can be “naturally” integrated with Topic Maps-based data sets.

 
· RDF · Subject-centric computing · Topic Maps ·

Modeling Time and Identity

 

I really like ideas described in this presentation by Rich Hickey.

Link on InfoQ: http://www.infoq.com/presentations/Are-We-There-Yet-Rich-Hickey

One of the fundamental requirements for future computing: explicit representation of “values” and changes in time.

”... The future is a function of the past, it doesn’t change it …”

”... We associate identities with a series of causally related values …”

Presented ideas are very close to my own understanding of new subject-centric programming model

 
· Are We There Yet? · Subject-centric computing ·

Paraconsistent Reasoning in Ontopedia

 

I did a short presentation about paraconsistent reasoning in Ontopedia on TMRA 2009.

Summary:

  • Paraconsistent reasoning allows to collect assertions from various sources and “safely” infer new information
  • Paraconsistent reasoning works well together with constraint languages (such as TMCL)
  • Paraconsistent reasoning supports evolutionary approach to building large assertion systems
  • We do not need to “fix all errors” before we can reason

Link: (PDF)

 
· Actor model · Carl Hewitt · Cyc · Paraconsistent logic · TMCL ·

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