Model-Checking Structured Context-Free Languages

Towards Nominal Context-Free Model-Checking

Two kinds of automata are introduced, for recognising regular and context-free nominal languages. We compare their expressive power with that of analogous proposals in the literature. Some properties of our languages are proved, in particular that emptiness of a context-free nominal language L is decidable, and that the intersection of L with a regular nominal language is still context-free. Th...

Model Checking for Context-Free Processes

We develop a model-checking algorithm that decides for a given context-free process whether it satisses a property written in the alternation-free modal mu-calculus. The central idea behind this algorithm is to raise the standard iterative model-checking techniques to higher order: in contrast to the usual approaches, in which the set of formulas that are satissed by a certain state are iterati...

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...