prefix(L) is the language containing the prefixes of all strings in L. In other words, prefix(L) = {w | 2 € * and wx € L

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Prefix L Is The Language Containing The Prefixes Of All Strings In L In Other Words Prefix L W 2 And Wx L 1 (23.38 KiB) Viewed 43 times

prefix(L) is the language containing the prefixes of all strings in L. In other words, prefix(L) = {w | 2 € * and wx € L}. (a) Prove that prefix is closed over the class of context-free languages by providing a con- struction that, given a CFG generating L, explains how to create a CFG that generates prefix(L). (b) Test your prefix construction on the following grammar: S + ab cSc