ORDERLINE Order ID ProductID Ordered Quality 1001 1 2 1001 2 2 1001 4 1 1002 3 5 1003 3 3 1004 6 2 1004 8 2 1005 4 4 1006 4 1006 5 2 1006 7 2 1007 1 3 1007 2 2 1008 3 3 1008 8 3 1009 4 2 1009 7 3 1010 8 10 PRODUCT Product ID Product Description | ProductFinish | ProductStandard Price | ProductlineID 1 2 End Table Coffee Table Natural Ash Cherry 175 1 200 2 3 Computer Desk | Natural Ash 375 2 4 Entertainment Natural 650 3 Center Maple 5 Writers Desk Cherry 325 1 B 8-Drawer Desk White Ash 750 2 7 Dining Table Natural Ash 800 2 B Computer Desk Walnut 250 3 CUSTOMER CustomerID CustomerName Customer Address CustomerCity CustomerState CustomerPostalCode 1 Contemporary 1355 S Hines FL Gainesville 32601-2871 Casuals Blvd 2 Value Furniture 15145 S.W. Plaro TX 75094-7743 3 Home 17th St 1900 Allard Albany NY 12209-1125 Furnishings Ave. 4 Eastern Furniture 1925 Beltline Carteret NJ 07006-3188 Rd. 1 5 Impressions 5585 Westcott Sacramento CA 94206-4066 Ct. 6 Furniture 325 Flatiron Dr. Boulder CO 80514-4432 Gallery 7 Period 394 Rainbow Seattle WA 97954-5589 Furniture Dr. 8 Califomia 816 Peach Rd. Santa Clara CA 98915-7754 Classics 9 M and H Casual 3709 First Street Clearwater FL 34620-2314 Furniture 10 Seminole 2400 Rocky Seminole FL 34646-4423 Interiors Point Dr. 11 American 2424 Missouri Prospect NJ 07508-5621 Euro Lifestyles Ave N. Park 12 Battle Creek 345 Capitol Battle Creek M 49015-3401 Furniture 13 Heritage Ave. SW 66789 Colege Carlisle PA 17013-8834 Furnishings Ave. 14 Kaneohe 112 Kiowal St. Kaneohe HI 96744-2537 Homes 15 Mountain 4132 Main Ogden UT 84403-4432 Scenes Street ORDER OrderID OrderDate Customer l 1001 21/Oct/15 1 1002 21/Oct/15 B 1003 22/Oct/15 15 1004 22/Oct/15 5 1006 24/Oct/15 3 1006 24/Oct/15 2 1007 27/Oct/15 11 1008 30/Oct/15 12 1009 05/Now/15 1010 06/Nov/15 4 1

Q: Use Derivationa and substitution to solve the following problem

A:

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Q: 1. Let Σ be an alphabet. Prove or disprove that for every language L over alphabet Σ, if L2 = L,…

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