Lecture8_Logic_and_Algebra

Lecture8_Logic_and_Algebra - Ling 726: Mathematical...

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Ling 726: Mathematical Linguistics, Lecture 8 Logic and Algebra. V. Borschev and B. Partee, October 14, 2004 p. 1 Lecture 8. Axioms and theories, more examples. Axiomatic description of properties of relations. CONTENTS Axiomatic description of properties and classes of relations . ........................................................................................ 1 1. Properties of relations. ............................................................................................................................................ 1 1.1. Reflexivity, etc. ............................................................................................................................................... 1 1.2. Symmetry, etc. ................................................................................................................................................. 1 1.3. Transitivity, etc. ............................................................................................................................................... 1 1.4. Connectedness:. ............................................................................................................................................... 2 2. Classes of relations. ................................................................................................................................................ 2 2.1. Equivalence relations . ..................................................................................................................................... 2 2.2. Tolerance relations. ......................................................................................................................................... 2 2.3. Orderings. ........................................................................................................................................................ 2 Homework 9 -- mainly algebra review. ......................................................................................................................... 3 Reading: Chapter 8: 8.5, Chapter 9: 9.1 – 9.4 of PMW, pp. 206 –211, 247- 253.
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This note was uploaded on 02/22/2012 for the course LINGUIST 726 taught by Professor Partee during the Spring '07 term at UMass (Amherst).

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Lecture8_Logic_and_Algebra - Ling 726: Mathematical...

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