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Artificial Intelligence                                       Parminder Kaur, Lovely Professional University




                    Notes                 Unit 7: Symbolic Reasoning under Uncertainty


                                     CONTENTS
                                     Objectives
                                     Introduction
                                     7.1  How can we reason?

                                     7.2  Uncertain Reasoning
                                     7.3  Non-Monotonic Reasoning
                                     7.4  Default Reasoning

                                     7.5  Circumscription
                                          7.5.1  Implementations: Truth Maintenance Systems
                                     7.6  Summary
                                     7.7  Keywords
                                     7.8  Review Questions

                                     7.9  Further Readings

                                  Objectives

                                  After studying this unit, you will be able to:
                                      Understand the concepts of non-monotonic reasoning

                                      Discuss the default reasoning
                                      Illustrate the concept of circumscription

                                  Introduction

                                  When  we need  any  knowledge  system  to  accomplish  something  it has  not been  clearly
                                  informed how to do, it must reason. The system must work out what it requires to recognize
                                  from  what  it  already  be  familiar  with. We  have  observed  easy instance  of  reasoning  or
                                  sketching inferences already. For example, if we are familiar with: Robins are birds. All birds
                                  have wings. Then if we inquire: Do robins have wings? Some reasoning has to go on respond to
                                  the  question.
                                  7.1 How can we Reason?


                                  To some extent this will be based on the knowledge representation selected. Although a good
                                  knowledge representation system has to permit easy, normal and believable reasoning. We
                                  have discussed below very wide techniques of how we may reason.
                                  1.   Formal  reasoning:  It  implies  to basic  rules of inference  along with logic  knowledge
                                       representations.
                                  2.   Procedural reasoning: Procedural reasoning uses procedures that state how to possibly solve
                                       (sub) problems.






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