Deterministic context free languages

Contribution to deterministic top-down analysis of context-free languages

In the present paper a generalization of ZX(A:)-grammars is given, the notion of the switching function for such grammars is introduced and the model of the Parsing Machine using the switch­ ing function is given. We introduce the necessary notions and notation, mainly according to D. E. Knuth: An alphabet X is a finite nonempty set of symbols, and X* denotes the set of all strings on the alpha...

Tape Bounds for Some Subclasses of Deterministic Context-Free Languages

There are several interesting observations to be made concerning the tape complexity of context-free languages. An early result given by Lewis et al. (1965) is that every context-free language can be recognized by an off-line deterministic Turing machine of O((log n) 2) tape complexity. This is still the best result known. Sudborough (1975) shows that if all linear context-free languages can be...

Context - Free Languages and

Context-Free Languages, Coalgebraically

We give a coalgebraic account of context-free languages using the functor D(X) = 2 × X for deterministic automata over an alphabet A, in three different but equivalent ways: (i) by viewing context-free grammars as D-coalgebras; (ii) by defining a format for behavioural differential equations (w.r.t. D) for which the unique solutions are precisely the context-free languages; and (iii) as theD-co...

Context-Free Languages

Introduction 1 1 Languages 3 1.1 Notation and examples . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.1 Grammars . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.2 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.3 Ambiguity . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.4 Reduced grammars, normal forms . . . . . . . . . . . . . . . 6 1.1...