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Logical Inference in Party Scenario: Proof by Refutation

Explore logic and rules of inference in a party scenario. Use proof by refutation to determine fulfillment of conditions - Should Alex, Beki, and Chris attend the party? Dive into logical agents and the process of proving negations to reach conclusions.

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Logical Inference in Party Scenario: Proof by Refutation

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  1. Notes 7: Logic and Logical Agents

  2. Rules of inference

  3. The party example • If Alex goes, then Beki goes: A  B • If Chris goes, then Alex goes: C  A • Beki does not go: not B • Chris goes: C • Query: Is it possible to satisfy all these conditions? • Should I go to the party?

  4. Example of proof by Refutation • Assume the claim is false and prove inconsistency: • Example: can we prove that Chris will not come to the party? • Prove by generating the desired goal. • Prove by refutation: add the negation of the goal and prove no model • Proof: • Refutation:

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