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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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Inconsistency Tolerance in SNePS

Inconsistency Tolerance in SNePS. Stuart C. Shapiro Department of Computer Science and Engineering, and Center for Cognitive Science University at Buffalo, The State University of New York 201 Bell Hall, Buffalo, NY 14260-2000 shapiro@cse.buffalo.edu http://www.cse.buffalo.edu/~shapiro/.

914 views • 56 slides

Set representations of abstract lattices

Set representations of abstract lattices. Zhao Dongsheng 2009.6. Outline A. Set representation B. Topological representation C. Representation as set of lower semicontinuous functions D. Representations as Scott closed sets E. Some problems. A. Set representation

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CSE115/ENGR160 Discrete Mathematics 02/01/11

CSE115/ENGR160 Discrete Mathematics 02/01/11. Ming-Hsuan Yang UC Merced. 1.6 Direct proofs of p?q. First assume p is true Then show q must be true (using axioms, definitions, and previously proven theorems) So the combination of p is true and q is false never occurs Thus p?q is true

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Overview of Satellite Based Products for Global ET

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Predicates and quantifiers

Predicates and quantifiers. Chapter 8 Formal Specification using Z . Predicates. A predicate is a logical statement that depends on a value or values. When a predicate is applied to a particular value it becomes a proposition. For example: prime(x) depends on some numeric value of x

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Chapter 3

Chapter 3. Elementary Number Theory and Methods of Proof. 3.1. Direct Proof and Counterexample 1 Integers. Mathematical Proof. A mathematical proof is a carefully reasoned argument to convince a skeptical listener. (pg 125) Example: How would you prove if 5x + 3 = 33 then, x = 6?

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Polynomial Functions

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MATHS PROJECT CLASS-IX

MATHS PROJECT CLASS-IX. Chapter- QUADRILATERALS. Angle Sum Property Of a Quadrilateral. What is the sum of angles in triangle ADC?. D. C. We know that angle DAC+ angle ACD+ angle D = 180. A. B. Similarly in triangle ABC, angle CAB + angle ACB + angle B = 180.

15.38k views • 9 slides