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This paper has the goals (1) of unifying top-down parsing with shift-reduceparsing to yield a single simple and consistent framework, and (2) of producingprovably correct parsing methods, deterministic as well as tabular ones, forextended context-free grammars (EBNF) represented as state-transition networks.Departing from the traditional way of presenting as independent algorithms thedeterministic bottom-up LR(1), the top-down LL(1) and the general tabular(Earley) parsers, we unify them in a coherent minimalist framework. We presenta simple general construction method for EBNF ELR(1) parsers, where the newcategory of convergence conflicts is added to the classical shift-reduce andreduce-reduce conflicts; we prove its correctness and show two implementationsby deterministic push-down machines and by vector-stack machines, the latter tobe also used for Earley parsers. Then the Beatty's theoretical characterizationof LL(1) grammars is adapted to derive the extended ELL(1 parsing method, firstby minimizing the ELR(1) parser and then by simplifying its state information.Through using the same notations in the ELR(1) case, the extended Earley parseris obtained. Since all the parsers operate on compatible representations, it isfeasible to combine them into mixed mode algorithms.

Parsing methods streamlined