Problem Characteristics

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Presentation transcript:

Problem Characteristics Is the problem decomposable? Can solution steps be ignored or undone? Is the universe predictable? Is a good solution absolute or relative? Is the solution a state or a path? What is the role of knowledge? Does the task require interaction with a person?

Production system characteristics Monotonic: execution of a rule never prevents the execution of other applicable rules Non-monotonic: without this property Partially commutative: if application of a particular sequence of rules transforms state x into state y, then any permutation of those rules that are allowable, transforms x into y Commutative: monotonic + partially commutative

Problems and production system monotonic Non-monotonic Partially commutative Theorem proving Robot navigation Non-partially commutative Chemical synthesis backgammon

Problems and production system monotonic Non-monotonic Partially commutative Ignorable Recoverable Non-partially commutative Irrecoverable Unpredictable

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Sample problems - 8-puzzle

Sample problems - 8 queens

Sample problems - 8 queens

Sample problems - 8 queens

Sample problems - Cryptarithmetic

Sample problems - Cryptarithmetic