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Unit 2: Problems, Problem Spaces and Search




                                                                                                Notes
                 Example: Problems like medical diagnosis, engineering design.

          2.6.2 Production System Characteristics

          1.   Can production systems, such as problems, be illustrated by a set of traits that shed some
               light on how they can simply be implemented?
          2.   If so, what  relationships are there among problem types and the  kinds of  production
               systems best matched to solving the problems?
               (i)  Classes of Production systems:
                    (a)  Monotonic Production System: The application of a rule by no means averts
                         the later application of another rule that could also have been functional at the
                         time the first rule was chosen.
                    (b)  Non-monotonic Production system

                    (c)  Partially commutative Production system:  Property that if  application of a
                         specific sequence of rules converts state x to state y, then permutation of those
                         rules permissible, also converts state x into state y.
                    (d)  Commutative Production system

          2.6.3  Issues in the Design of Search Programs

          1.   The direction in which to carry out the search (forward versus backward reasoning)
          2.   How to choose applicable rules (Matching)
          3.   How to symbolize every node of the hunt process (knowledge demonstration problem)

          Self Assessment


          Fill in the blanks:
          13.  A  very great and compound problem can be simply solved if  it can  be wrecked  into
               smaller problems and .................................. could be used.

          14.  .................................. is the application of a rule by no means averts the later application of
               another rule that could also have been functional at the time the first rule was chosen.
          15.  The problem is said to be ..................................  when the computer will be specified  a
               problem explanation and will create an answer, with no in-between communication and
               with he demand for a clarification of the reasoning process.

          2.7 Summary


              Problems have the general form given such-and-such data, find x.
              The thought of State Space Search is broadly used in Artificial Intelligence. The plan is that
               a problem can be solved by probing the steps which might be taken for the solution.

              The  state  space  illustration  permits  for  a  formal  definition  of  the  problem  as  the
               requirement to exchange some given situation into some preferred situation by means of
               a set of allowable operations.





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