Question

Consider the following language description: its sentences only contain balanced brackets of various kinds: (), {}, and < > , all may be included. Whether they are one after the other, or nested, they must balance each open with a matching-style close afterwards. Some valid sentences (members of the language): ()<>{} ((())) ((<{}>))(())<>() Some invalid sentences (not members of the language) ( }{ (<)> Write the BNF (production rules) for this language. write a derivation for the sentence "<()>{}".

Answer 1

The above is the BNF production rules for the given language .

By using the above BNF rules we can derive any string of balanced brackets .

For the given string <()>{} the above is the derivation tree by using the BNF production rules .