lec10-review-matrix - EECS 203 Winter 2007 Discrete...

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EECS 203, Winter 2007 Discrete Mathematics Lecture 10 Review, and Matrices February 6 Reading: Rosen [1, 2, 3.8] February 6 Review, and Matrices, Page 1
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10.1 Logic What’s the purpose of a logic system? What are the important elements of a logic system? Hierarchy of logic systems. February 6 Review, and Matrices, Page 2
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10.1 Logic Definitions. Syntax Proposition: First order: Semantics Proposition: assignment. First order: models. Rule of inference February 6 Review, and Matrices, Page 3
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10.1 Logic Key concepts: tautology and valid formulas. February 6 Review, and Matrices, Page 4
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10.1 Logic Informally: Using rules of inference to build arguments Start with a set of formulas Δ that are designated as the premises. List a sequence of formulas, each of which is either A premise, or A wfs that is known to be valid (such as one that is obtained from a tautology, or has been proved to be valid), or Obtained from previous formulas using rule of inferences.
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