'Universal quantifier' presentation slideshows

The Foundations: Logic and Proofs

The Foundations: Logic and Proofs. Chapter 1, Part II: Predicate Logic. With Question/Answer Animations. Summary. Predicate Logic (First-Order Logic (FOL), Predicate Calculus) The Language of Quantifiers Logical Equivalences Nested Quantifiers Translation from Predicate Logic to English

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Propositional Equivalences

Propositional Equivalences. Section 1.3. More Logical Equivalences. Constructing New Logical Equivalences. We can show that two expressions are logically equivalent by developing a series of logically equivalent statements.

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Logical equivalence

Logical equivalence. Two propositions are said to be logically equivalent if their truth tables are identical. Example: ~p ? q is logically equivalent to p ? q. T. T. T. T. F. F. T. F. F. T. T. T. F. F. T. T. Converse (1).

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Predicate Logic

Predicate Logic. Section 1.3 & 1.4 . 1. Limitation of Propositional Logic. Consider the following reasoning All cats have tails Gouchi is a cat Therefore, Gouchi has a tail . To formalize the reasoning in this simple argument, we need a more expressive logic. 2. Outline. Introduction

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Knowledge Representation

Knowledge Representation. Praveen Paritosh CogSci 207: Fall 2003: Week 1 Thu, Sep 30, 2004. Some Representations. Elements of a Representation. Represented world: about what? Representing world: using what? Representing rules: how to map?

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CSci 2011 Discrete Mathematics Lecture 21

CSci 2011 Discrete Mathematics Lecture 21. Yongdae Kim. Admin. Due dates and quiz Groupwork 10 is due on Nov 16 th . Homework 6 is due on Dec 2 nd . Quiz 6: Dec 9 th . 1 page cheat sheet is allowed. E-mail: csci2011-help@cselabs.umn.edu Put [2011] in front. Check class web site

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Predicates and Quantifiers

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Discrete Maths

Discrete Maths. 242-213 , Semester 2, 2013 - 2014. Objective to introduce Predicate Logic (First-Order Logic (FOL), Predicate Calculus). 2. Predicate Logic. Overview. Motivation Predicates Quantifiers Translating English to Logic Logic Programming More Information . 1. Motivation.

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Database Systems 236363

Database Systems 236363. Relational Calculus. Relational Algebra vs. Relational Calculus. Relational algebra queries are relatively easy to implement in a programming language, yet the translation of a query from a natural language (or even SQL) to relational algebra is not intuitive

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CS322

Week 2 - Friday. CS322. Last time. What did we talk about last time? Predicate logic Negation Multiple quantifiers. Questions?. Logical warmup. There are two lengths of rope Each one takes exactly one hour to burn completely The ropes are not the same lengths as each other

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CS621: Artificial Intelligence

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Introduction to Predicates and Quantified Statements I

Introduction to Predicates and Quantified Statements I. Lecture 9 Section 2.1 Wed, Jan 31, 2007. Predicates. A predicate is a sentence that contains a finite number of variables, and becomes a statement when values are substituted for the variables.

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Chapter 2: Building Discourse Representations

Chapter 2: Building Discourse Representations. November 14, 2007 Matt Gerber. DRS Construction. Claim: DRT is a flexible theory compatible with a range of construction strategies DRS threading Rehash of the SCA -DRSs -abstraction approach Underspecified DRSs Hole semantics.

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Test 4 Review

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Predicates and Quantifiers

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CSCI 3190 Tutorial 1 Propositional Calculus

2013 Fall. CSCI 3190 Tutorial 1 Propositional Calculus. Cai Wenzan Email: wzcai@cse.cuhk.edu.hk Office: Room 913 SHB Department of Computer Science & Engineering Sep. 9 2013. Propositions . A declarative sentence Fundamental Property - either true or false Logical operators

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George Boole

1815-1864 English Mathematician His The Mathematical Analysis of Logic , 1848 is the first contribution to symbolic logic In this book he introduced what is today called Boolean Logic (or Algebra) JT: Boolean (True, False outcome). George Boole. Logic. Peeking into Computer Science.

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Predicate logic

Predicate logic. CSC 333. Terms . Universal quantifier Existential quantifier Predicate Domain of Interpretation Dummy variable Free variable Predicate wff Unary, binary, ternary. Things to remember . . . . The order of quantifiers is important (p. 36).

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English ? FOL: universal quantifier

English ? FOL: universal quantifier. The structure of the universal quantifier is: ? X(... ? ...) Key words in an English sentence that indicates an universal quantifier: all , every, each, any For every x, if x is a student and x likes mathematics, the x does not likes Oscar:

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