not handwritten    Convert the following context-free grammar to Chomsky Normal Form: S → aXYb X → YY Y → YY | a | ε

Formal language

In this problem you are provided with a CFG/BNF and you are to determine which of the following strings are inside of the described grammar G defined by G={V,E,R,S} where V={ } E={ a, b, c, +, -, *, /, () } R=[ --> + - | --> * | / | --> ( ) | --> a | b | c ] S= 0 (b) a Oa+a*(a) Oa(b) O-b*a/b (b+b) Oa (b+d)-c/a Oa+c+b+a+c-a a +- c

Consider the context-free grammar below that generates mathematical expressions (it uses "a" as a placeholder for where values would go). S' → S$ S→ BA A→+BA|-BA|A В > DC C→ *DC | /DC |1 D→ a|(S) The non-terminals in this grammar are S', S, A, B, C, and D. The terminals are a, +, -, *, /, (, ), and $. For grading purposes, list terminals in your answers in the following order: a+-*/()$ For each production, list which next input symbol would predict the production (assuming that the production's left-hand side is on the top of the parsing stack). You should find your answer by building a prediction table as seen in class. In each answer list your set in the order given above. If a set is empty write exactly the word empty. Separate items using commas and no spaces. For example: a,-,/,) S → BA { A→ +BA { } A→ -BA { A→1{ В > DC { } C→ *DC { C→ /DC { C → { D→a|(S) { D→ (S) {