'Universal instantiation' presentation slideshows

Section 1.5: Methods of Proof

Section 1.5: Methods of Proof.

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Basic Proof Methods

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Cooperating Intelligent Systems

Cooperating Intelligent Systems. Inference in first-order logic Chapter 9, AIMA. Reduce to propositional logic. Reduce the first order logic sentences to propositional (boolean) logic. Use the inference systems in propositional logic.

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Methods of Proof

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First-Order Logic

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CMSC 471 Fall 2002

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ARTIFICIAL INTELLIGENCE [INTELLIGENT AGENTS PARADIGM]

UNIFICATION AND ITS ALGORITHM. ARTIFICIAL INTELLIGENCE [INTELLIGENT AGENTS PARADIGM]. Professor Janis Grundspenkis Riga Technical University Faculty of Computer Science and Information Technology Institute of Applied Computer Systems Department of Systems Theory and Design

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Explanation by Subsumption or nomological explanation:

L3: Explanations 1 Explanation by subsumption and by specification SSC: S3 (12-15), S4 (15-18) App 4A/B/C (53-58). Explanation by Subsumption or nomological explanation: an individual or general fact is subsumed under a law or theory (and relevant conditions)

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Rules of Inferences

Rules of Inferences. Section 1.5. Definitions. Argument: is a sequence of propositions ( premises ) that end with a proposition called conclusion . Valid Argument: The conclusion must follow from the truth of the previous premises, i.e., all premises ? conclusion

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Artificial Intelligence Chapter 15 The Predicate Calculus

Artificial Intelligence Chapter 15 The Predicate Calculus. Biointelligence Lab School of Computer Sci. & Eng. Seoul National University. Outline. Motivation The Language and Its Syntax Semantics Quantification Semantics of Quantifiers

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Dilemma: Division Into Cases

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Discrete Structures

Discrete Structures. Chapter 3: The Logic of Quantified Statements 3.4 Arguments with Quantified Statements. The only complete safeguard against reasoning ill, is the habit of reasoning well; familiarity with the principles of correct reasoning; and practice in applying those principles.

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2.1 Sets 2.2 Set Operations Set Operations Venn Diagrams Set Identities

2.1 Sets 2.2 Set Operations Set Operations Venn Diagrams Set Identities Union and Intersection of Indexed Collections 2.3 Functions 2.4 Sequences and Summations. P. 1. Propositional calculus and set theory are both instances of an algebraic system called a Boolean Algebra .

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Arguments with Quantified Statements

Arguments with Quantified Statements. M260 3.4. Universal Instantiation. If some property is true for everything in a domain, then it is true of any particular thing in the domain. Example. All human beings are mortal. Socrates is a human being. Therefore Socrates is mortal.

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Discrete Mathematics Lecture 2

Discrete Mathematics Lecture 2. Alexander Bukharovich New York University. Predicates. A predicate is a sentence that contains a finite number of variables and becomes a statement when specific values are substituted for the variables

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Discrete Mathematics Math 6A

Discrete Mathematics Math 6A. Homework 7 Solution. 1.5-1 (a) addition rule simplification rule modus ponens modus tollens hypothetical syllogism 1.5-3 Let w be the proposition "Randy works hard" Let d be the proposition "Randy is a dull boy", and

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