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The standard algorithm to eliminate indirect left recursion takes apreventative approach, rewriting a grammar's rules so that indirect leftrecursion is no longer possible, rather than eliminating it only as and when itoccurs. This approach results in many of the rules being lost, so that theparse trees that result are often devoid of the detail that the BNF wassupposed to capture in the first place. Furthermore, the standard algorithmresults in exponential blow-up as the BNF is rewritten, making it whollyunworkable in practice. To avoid these pitfalls, we revise the standardalgorithm to eliminate direct left recursion and then take a graph-theoreticapproach to eliminating indirect left recursion. We also extend the algorithmto rewrite the resultant parse trees in order to recover the parse trees thatwould have resulted if left recursion had not had to be eliminated in the firstplace. Therefore, aside from a couple of caveats, our algorithm works not justin theory but also in practice.

Eliminating Left Recursion without the Epsilon