'Logical equivalences' presentation slideshows

Basic Structures: Sets, Functions, Sequences, Sums, and Matrices

Basic Structures: Sets, Functions, Sequences, Sums, and Matrices. Chapter 2. Chapter Summary. Sets The Language of Sets Set Operations Set Identities Functions Types of Functions Operations on Functions Sequences and Summations Types of Sequences Summation Formulae Matrices

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CS203 Discrete Mathematical Structures

CS203 Discrete Mathematical Structures. Logic Proposition logic. What is logic?. The branch of philosophy concerned with analysing the patterns of reasoning by which a conclusion is drawn from a set of premises, without reference to meaning or context ( Collins English Dictionary ).

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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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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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Course Summary

Course Summary. CS 202 Aaron Bloomfield. Outline. A review of the proof methods gone over in class Interspersed with the most popular demotivators from CS 101 Course summary. Demotivator winners!. Methodology 1 st place vote counted for 3 points 2 nd place vote counted for 2 points

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The Foundations: Logic and Proofs

The Foundations: Logic and Proofs. Chapter 1, Part III: Proofs. Summary. Proof Methods Proof Strategies. Introduction to Proofs. Section 1.7. Section Summary. Mathematical Proofs Forms of Theorems Direct Proofs Indirect Proofs Proof of the Contrapositive Proof by Contradiction.

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Discrete Structures Chapter 1 Part A Fundamentals of Logic

Discrete Structures Chapter 1 Part A Fundamentals of Logic. Nurul Amelina Nasharuddin Multimedia Department. Logic of Statements. Logical Form and Logical Equivalence Conditional Statements Valid and Invalid Arguments Logic of Quantified Statements Application : Digital Logic Circuits.

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Propositional Equivalences

Propositional Equivalences. Agenda. Tautologies Logical Equivalences. Tautologies, contradictions, contingencies. DEF: A compound proposition is called a tautology if no matter what truth values its atomic propositions have, its own truth value is T .

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CPSC 121: Models of Computation 2008/9 Winter Term 2

CPSC 121: Models of Computation 2008/9 Winter Term 2. Proof (First Visit) Steve Wolfman, based on notes by Patrice Belleville, Meghan Allen and others. Lecture Prerequisites. Read Section 1.3.

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CSE115/ENGR160 Discrete Mathematics 01/20/11

CSE115/ENGR160 Discrete Mathematics 01/20/11. Ming-Hsuan Yang UC Merced. Propositional equivalences. Replace a statement with another statement with the same truth value For efficiency (speed-up) or implementation purpose (e.g., circuit design). Tautology and contradiction.

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Introduction

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Propositional Equivalences

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Discrete Mathematics: Applications of PL and Propositional Equivalences

Discrete Mathematics: Applications of PL and Propositional Equivalences. Section Summary:. Translating English to Propositional Logic System Specifications Logic Puzzles Logic Circuits Etc. Translating English Sentences.

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Symbolic Logic

Symbolic Logic. The Following slide were written using materials from the Book: Discrete mathematics With Applications Third Edition By Susanna S. Epp. Symbolic Logic. The main purpose of logic is to build the thinking methods.

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Chapter 1: The Foundations: Logic and Proofs

Chapter 1: The Foundations: Logic and Proofs. 1.1 Propositional Logic 1.2 Propositional Equivalences 1.3 Predicates and Quantifiers 1.4 Nested Quantifiers 1.5 Rules of Inference 1.6 Introduction to Proofs 1.7 Proof Methods and Strategy.

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2014 ? ??? ????? ??????? ???

???? (Discrete Mathematics) ? ?? ?? (Set Operations). 2014 ? ??? ????? ??????? ???. 2. 5. 3. 7. Union Operator ( ??? ). Set Operations.

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321 Section, 2-7

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Conditional Statements

Conditional Statements. Conditional statements. Form of conditional statement: If p then q (p implies q) Denote by p is called hypothesis , q is called conclusion Ex : If Bobcats win this game, then they will be number one. Truth table for .

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Lecture 10

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