'Same truth values' diaporamas de présentation

Theory of Automata Formal Languages

Theory of Automata Formal Languages. Why.

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Discrete Structures CS 2800

Discrete Structures CS 2800. Prof. Bart Selman selman@cs.cornell.edu Module Logic (part 1) . Logic in general. Logics are formal languages for formalizing reasoning, in particular for representing information such that conclusions can be drawn A logic involves:

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Logic

Logic . The essence of rational thinking. Examples. Consider a life insurance contract that states "the sum of $100,000 will be paid to Sue and Sam if either Sue reaches age 65 or Same reaches age 65" What happens if Sue turns 65 6 months before Sam?

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Chapter 2 Logic

Chapter 2 Logic. 2.1 Statements 2.2 The Negation of a Statement 2.3 The Disjunction and Conjunction of Statements 2.4 The Implication 2.5 More on Implications 2.6 The Biconditional 2.7 Tautologies and Contradictions 2.8 Logical Equivalence

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Propositional Logic

Propositional Logic. CS 1050 (Rosen Section 1.1, 1.2). Proposition. A proposition is a statement that is either true or false, but not both. Atlanta was the site of the 1996 Summer Olympic games. 1+1 = 2 3+1 = 5 What will my CS1050 grade be?. Table 1. The Truth Table for the

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Propositional Equivalences

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Chapter 10.1 and 10.2: Boolean Algebra

Chapter 10.1 and 10.2: Boolean Algebra. Based on Slides from Discrete Mathematical Structures: Theory and Applications. Learning Objectives. Learn about Boolean expressions Become aware of the basic properties of Boolean algebra. Two-Element Boolean Algebra. Let B = {0, 1}.

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Logical Form and Logical Equivalence

Logical Form and Logical Equivalence. Lecture 2 Section 1.1 Fri, Jan 19, 2007. Statements. A statement is a sentence that is either true or false, but not both. These are statements: It is Wednesday. Discrete Math meets today. These are not statements: Hello. Are you there? Go away!.

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Proving the implications of the truth functional notions

Proving the implications of the truth functional notions. How to prove claims that are the implications of the truth functional notions Remember that P, Q, R, and S are meta varibles that range over individual sentences of SL

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Lecture 1

Lecture 1 . The Foundations: Logic and Proofs. Disrete mathematics and its application by rosen 7 th edition. 1.1 Propositional Logic. Propositions. A proposition is a declarative sentence (that is, a sentence that declares a fact) that is either true or false, but not both

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Chapter 1

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Lesson 2-3

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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. 1.2: Propositional Equivalences. Definition:

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SOL: G.1a SEC: 2.3

Conditional Statements http://www.youtube.com/watch?v=Wnc3_AekOno&feature=related http://www.youtube.com/watch?v=vzuaHRJAHuQ. SOL: G.1a SEC: 2.3. Conditional Statement. Definition:. A conditional statement is a statement that can be written in if-then form.

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CS 285- Discrete Mathematics

CS 285- Discrete Mathematics. Lecture 3 . Section 1.2 Propositional equivalences. Two syntactically (i.e. textually) different compound propositions may be semantically identical (i.e., have the same meaning). We call them equivalent. Learning outcome:

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