Lecture Notes for CS 5034 - Models of Computation at Virginia Tech (VT)

Notes Information

 Material Type: Class Note Professor: Staff Class: CS 5034 - Models of Computation Subject: Computer Science University: Virginia Polytechnic Institute And State University Term: -- Keywords: Complete FormulasConjunctiveMultiple ArgumentsInterpretationTerminationConjunctionDistinctionContradictionHypotheticalDenomination

Sample Document Text

COURSENOTES CS5034: Models of Computation Cli#0Bord A. Sha#0Ber Department of Computer Science Virginia Tech Copyright c#0D1996 Forms of Proof Proofs: #0F Truth Tables #0F Proof by Example #7B Existence proof and disproving only #0F Proof by Exhaustive Checking #0F Direct Proof #7B ad hoc #7B chain of inference #0F Indirect Proof #7B Proof of Contrapositive #7B Proof by Contradiction #0F If and Only If #0F Induction #28later#29 1 Set Notation N: Natural Numbers Z: Integers Q: Rational Numbers R: Real Numbers If S =fa;b;cg, then power#28S#29= f;;fag;fbg;fcg; fa;bg;fa;cg;fb;cg;fa;b;cgg: 2 Sets, Bags and Tuples Bag or Multiset: A collection of objects that may contain a #0Cnite number of redundant occurrences of elements. #5Bh;h;g;u#5D Tuples have n members #28tuple of length n#29 that appear in an order. #3C12;R;9#3E Three elements, the #0Crst is 12, the second is R, the third is 9. #0F Set: fh;u;g;hg=fh;u;gg=fu;g;hg: #0F Bag: #5Bh;u;g;h#5D = #5Bh;h;g;u#5D6=#5Bh;u;g#5D...

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