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Models of Computation - Algorithms

Department of Computer and Information Science, School of Science, IUPUI. Models of Computation - Algorithms. CSCI 230. Dale Roberts, Lecturer Computer Science, IUPUI E-mail: droberts@cs.iupui.edu. Algorithms. Computer Science is a study of algorithms, which includes:

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Models of Computation - Algorithms

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  1. Department of Computer and Information Science,School of Science, IUPUI Models of Computation - Algorithms CSCI 230 Dale Roberts, Lecturer Computer Science, IUPUI E-mail: droberts@cs.iupui.edu

  2. Algorithms • Computer Science is a study of algorithms, which includes: • their formal mathematical properties • their hardware realizations • their linguistic realizations • their applications • Therefore, our task is to: • design and develop algorithms to solve problems • study the algorithms to see if they are corrector efficient • design and build computer systems which can execute these algorithms • design programming languages and translate algorithms into these languages

  3. Definition of Algorithm Central Premise of Computer Science: “If we can specify an algorithm for a problem, then we can automate its solution” • Definition of an Algorithm • consists of unambiguous & computable operations • produce a result • halt in a finite amount of time. (Some scientists add a restriction that the algorithm must halt in a reasonable amount of time.)

  4. Examples of Algorithm • A good example of an algorithm • A recipe for cherry pie • step 1: mix 1 cup sugar, ¼ cup flour, ¼ tsp. salt • step 2: stir in ½ cup juice from the cherries • step 3: Cook & stir over medium heat until thick • step 4: Add 3 cups canned, pitted red cherries • step 5: Add 1 tblsp. butter & 4 drops almond extract • step 6: Make pie crust & place in a 9 inch pie plate • step 7: Fill crust with cherry mix & top with 2nd crust • step 8: Bake at 450 oF for 10 mins. then 350 for 45 mins.

  5. A bad example of an algorithm • How to use shampoo XYX • step 1: Wet hair • step 2: Lather • step 3: Rinse • step 4: Repeat • What is wrong with algorithm?

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