06.03.2013 Views

Artificial Intelligence and Soft Computing: Behavioral ... - Arteimi.info

Artificial Intelligence and Soft Computing: Behavioral ... - Arteimi.info

Artificial Intelligence and Soft Computing: Behavioral ... - Arteimi.info

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

ased on the first two data: Offers (market, rebate, Monday-evening), Has-<br />

Official-meeting (Husb<strong>and</strong>, next-Monday-evening). When the third data:<br />

Meeting-shifted (from, next-Monday-evening) is added to the reasoning<br />

system, it starts backtracking <strong>and</strong> finally changes the status of node n5 (fig.<br />

7.3) from IN-node to OUT-node. The TMS thus always maintains consistency<br />

among the inferences derived by the inference engine.<br />

7.7 Default Reasoning<br />

Reiter’s default logic [11] is an alternative form of non-monotonic logic,<br />

which includes a few First Order statements along with one or more default<br />

assumptions. Formally, let Del be a set of statements, including a set of<br />

axioms W <strong>and</strong> a set of Default statements D, i.e.,<br />

Del = {D, W}<br />

where the elements of D are of the form:<br />

P: Q1, Q2,...,Qn<br />

R<br />

which may be read as: Given P is true, as long as Q1 through Qn are<br />

consistent with P, one may infer that R holds. Further, when P is absent from<br />

the above statement, i.e.,<br />

: Q1, Q2, ...,Qn<br />

R<br />

it means that as long as Q1 through Qn are consistent with known beliefs, it<br />

may be inferred that R holds.<br />

Another special case of a Default statement is of the form<br />

P:<br />

___________<br />

R<br />

which means that “ if P is true, one may infer that R is true”. The last<br />

statement is different from P → R, which means “if P is true then R is true”,<br />

i.e, when P holds R must hold. But in the previous case “when P holds, R

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!