'Resolution refutation' diaporamas de présentation

CS 4700: Foundations of Artificial Intelligence

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Automated Reasoning

13. Automated Reasoning. 13.0 Introduction to Weak Methods in Theorem Proving 13.1 The General Problem Solver and Difference Tables 13.2 Resolution Theorem Proving. 13.3 PROLOG and Automated Reasoning 13.4 Further Issues in Automated Reasoning 13.5 Epilogue and References

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Inference rules

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For Wednesday

For Wednesday. No reading Homework Chapter 8, exercises 9 and 10. Program 1. Any questions?. Variable Scope. The scope of a variable is the sentence to which the quantifier syntactically applies.

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CS621: Artificial Intelligence

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Notes 7: Knowledge Representation, The Propositional Calculus

Notes 7: Knowledge Representation, The Propositional Calculus. ICS 270A Winter 2003. Outline. Representing knowledge using logic Agent that reason logically A knowledge based agent Using constraints on feature values A rich and implicit representation of the world state.

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Chapter 13 Automated Reasoning

Chapter 13 Automated Reasoning. Contents. Week Methods in Theorem Proving General Problem Solver (GSP) Resolution Theorem Proving Resolution Refutations Answer Extraction. Automated Reasoning. Week methods Focus on techniques/strategies, instead of knowledge base Automated reasoning

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Artificial Intelligence Chapter 16 Resolution in the Predicate Calculus

Artificial Intelligence Chapter 16 Resolution in the Predicate Calculus. Biointelligence Lab School of Computer Sci. & Eng. Seoul National University. Outline. Unification Predicate-Calculus Resolution Completeness and Soundness Converting Arbitrary wffs to Clause Form

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Artificial Intelligence Chapter 16 Resolution in the Predicate Calculus

Artificial Intelligence Chapter 16 Resolution in the Predicate Calculus. Biointelligence Lab School of Computer Sci. & Eng. Seoul National University. Outline. Unification Predicate-Calculus Resolution Completeness and Soundness Converting Arbitrary wffs to Clause Form

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Artificial Intelligence Chapter 16 Resolution in the Predicate Calculus

Artificial Intelligence Chapter 16 Resolution in the Predicate Calculus. Biointelligence Lab School of Computer Sci. & Eng. Seoul National University. Outline. Unification Predicate-Calculus Resolution Completeness and Soundness Converting Arbitrary wffs to Clause Form

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CS621: Artificial Intelligence

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Chapter 8 Inference and Resolution for Problem Solving

Chapter 8 Inference and Resolution for Problem Solving. Chapter 8 Contents (1). Normal Forms Converting to CNF Clauses The Resolution Rule Resolution Refutation Proof by Refutation Example: Graph Coloring. Chapter 8 Contents (2). Normal Forms in Predicate Calculus Skolemization

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Resolution refutation proofs involve the following steps:

Figure 2.5: Further steps in the unification of (parents X (father X) (mother bill)) and (parents bill (father bill) Y). Resolution refutation proofs involve the following steps:. Clausal Form.

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Logical Agents do not follow textbook closely

Logical Agents do not follow textbook closely. M(alpha)=M(beta). Model-checking. contradiction or refutation. alpha is valid iff ~alpha is unsatisfiable. KB&~ a. False False False False False False False False. So, to check if KB entails a , negate a , add it to the KB,

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Clausal Form

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Resolution in Propositional and First-Order Logic

Resolution in Propositional and First-Order Logic. Inference rules. Logical inference creates new sentences that logically follow from a set of sentences (KB) An inference rule is sound if every sentence X it produces when operating on a KB logically follows from the KB

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Resolution Theorem Proving in Predicate Calculus

Resolution Theorem Proving in Predicate Calculus. Lecture No 10 By Zahid Anwar. Resolution. Resolution is a technique for proving theorems in predicate calculus Resolution is a sound inference rule that, when used to produce a refutation, is also complete

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Note about Resolution Refutation

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CS621: Artificial Intelligence

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CSE4/563: Knowledge Representation Recitation October 6, 2010

CSE4/563: Knowledge Representation Recitation October 6, 2010.

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