{"flow": {"nodes": [{"width": 312, "height": 311, "id": "prompt-formal-grammar-to-regex", "type": "prompt", "data": {"prompt": "{prompt}", "n": 1, "llms": [{"key": "aa3c0f03-22bd-416e-af4d-4bf5c4278c99", "settings": {"system_msg": "Determine a regular expression which is equivalent to formal grammar provided by the user. The formal grammar is represented as a series of production rules. Each letter is a symbol. Terminal symbols are represented by lowercase letters, 'S' is the start symbol, and 'e' symbolizes the empty string. Your generated regular expression should be formatted using Extended Regular Syntax (ERS), and must not include empty string symbol. Provide the regular expressions in their most straightforward form, without any superfluous clauses or symbols. Carefully reason to your answer. 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Your generated regular expression should be formatted using Extended Regular Syntax (ERS), and must not include empty string symbol. Provide the regular expressions in their most straightforward form, without any superfluous clauses or symbols. Carefully reason to your answer. 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`(c(ab)*c?)+d`."}, {"prompt": "S -> xA, A -> zB, B -> S | e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `(xz)+`."}, {"prompt": "S -> A, A -> xA | B, B -> yB | C, C -> zC | e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `x*y*z*`."}, {"prompt": "S -> xA, A -> yB, B -> xC, C -> yD, D -> b | e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `xyxyb?`."}, {"prompt": "S -> xA | zC | e, A -> yB, C -> xD, D -> S, B -> S", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `((xy)|(zx))*`."}, {"prompt": "S -> A, A -> B | aB, B -> C | bC, C -> c | e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `a?b?c?`."}, {"prompt": "S -> A, A -> aA | bA | cA | dA | B, B -> aC | cC, C -> S | e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `([a-d]*(a|c))+`."}, {"prompt": "S -> aA | bA, A -> cB, B -> dD | e, D -> eB", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `(a|b)c(de)*`."}, {"prompt": "S -> A, A -> aS | aB, B -> bC | bS, C -> cS | cD, D -> dS | e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `(a|(b|(c|d)))*abc`."}, {"prompt": "S -> aA, A -> bB, B -> cC | S, C -> dD, D -> e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `(ab)+cd`."}, {"prompt": "S -> aA, A -> bB, B -> cC, C -> e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `a(dbc)*bc`."}, {"prompt": "S -> cA, A -> aS | bB | e, B -> aS", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `((ca)*(cba)*)*c`."}, {"prompt": "S -> aA, A -> bB, B -> cC, C -> e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `abc`."}, {"prompt": "S -> aB, B -> bC, C -> cA | e, A -> dS", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `ab(cdab)*`."}, {"prompt": "B -> bS | e, S -> aB", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `a(ba)*`."}, {"prompt": "A -> aAa | e, C -> cCc | e, S -> AbC", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `(aa)*b(cc)*`."}, {"prompt": "S -> AzA, A -> AzA | aA | bA | cA | dA | e", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `([a-d]*z)+[a-d]*`."}, {"prompt": "S -> BCB, B -> b, C -> DD, D -> BEB | d, E -> x", "ideal": "Therefore, the regular expression which is equivalent to this grammar is `b((bxb)|d){2}b`."}, {"prompt": "S -> zB | e, B -> xSy", "ideal": "Therefore, the grammar is not regular."}, {"prompt": "S -> BC | e, B -> aS, C -> bS", "ideal": "Therefore, the grammar is not regular."}, {"prompt": "S -> aaBaa, B -> bbSbb, A -> e", "ideal": "Therefore, the grammar is not regular."}, {"prompt": "S -> aaA | e, A -> Bbb, B -> 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