2. Run the CYK algorithm on the string 000000 for the grammar below and show the...
4) (20pts) Given a grammar G: and a string x-aabbab, run the CKY algorithm (construct the table) to determine whether x E L(G). If the answer is Yes, show your derivation based on your table.
2. Let w 100101 and G be the context-free grammar whose productions are given below (Note that G is in Chomsky Normal Form) 2. SKY 7. K ->YC 8. K 1 3, C CY 4. C1 Draw a parse tree for w. a. b. Test membership of w in L(G) using CYK algorithm (CYK algorithm is discussed in Section 7.4.4 of the textbook). Write down your solution step by step by giving proper explanations. c. Which nonterminals in G can...
Q1: Given the below language and context free gramma:, a. Show that the grammar is ambiguous using the string ( abc) by using substitutions. b. Then design a push down automata that recognizes the language. C. Then show the tracing of (abc, abbccc) using the push down automata. d. Then Show which two simple languages create the greaterlanguage. Give set builder notation for each language. e. Then produce Chomsky normal form for the grammar. The following context-free language is inherently...
5. Construct the CYK-table for the string aabb using the following grammar: S X Y Z A B + AY | 8 + AY + XZ|XB| b + XB | b → a + b
Show that this grammar is ambiguous for the string a+b+c: <S> - <x> <X> - <x>+ <x> <X> - <id> <id> - abc Give the derivations.
Theory of Computation
need ASAP 2-3 hours
1. For the following grammar: a) Give an example of a string accepted by the grammar. b) Give an example of a string not accepted by the grammar. c) Describe the language produced by the grammar. 2. Using the following grammar find a derivation for the string: 0001112 A0A1le C 0C2 | D Create a grammar for the language described by the following RE: Create a grammar for the following language: For the...
1. Consider the following grammar A - aB B-Sb (a) Show a derivation tree for the string aabbbb using the grammar. (b) Give an English description of the language generated by the grammar 2. Let G be the grammar below: S-ASB ab | SS (a) Show that G is ambiguous. (b) Construct an unambiguous grammar equivalent to G. 3. Find a context free grammar for the language L3- fa"b"c+m :n,m21) 4. Find a context free grammar for the language L4...
4. Consider the following context-free grammar S SSSS a (a) Show how the string aa+a* can be generated by this grammar (b) What language does this grammar generate? Explain
Java
4) Shortest Paths a) Dijkstra's Algorithm Run Dijkstra's algorithm on the following graph. Show the intermediate cost values after each iteration of the algorithm, and show the final shortest path tree and cost
4) Shortest Paths a) Dijkstra's Algorithm Run Dijkstra's algorithm on the following graph. Show the intermediate cost values after each iteration of the algorithm, and show the final shortest path tree and cost
Name: 3. (10 points) Given grammar: <program> → <stmts> Page: 2 <term> → <var> 1 const 1), write down derivation of: c-5+a 2) What are terminals and what are non-terminals in the grammar? Show a complete parse, including the parse stack contents, input string, and action for the string: id - id + id, using the grammar and parse table below. (10 points) 4. Grammar State id S4 4. T F 5. F (E) R2 S7 R4 R4 R2İR2 Parse...