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Description:
We propose timed context-free grammars (TCFGs) and show how parsers for such grammars can be developed using definite clause grammars (DCGs) coupled with constraints over reals (CLP(R)). Timed context-free grammars describe timed context-free languages (TCFLs). We next extend timed context-free grammars to timed context-free omega-grammars (omega-TCFGs for brevity) and incorporate co-inductive logic programming in DCGs to obtain parsers for them. Timed context-free omega-grammars describe timed context-free languages containing infinite-sized words, and are a generalization of timed omega-regular languages recognized by timed automata. We show a practical application of omega-TCFGs to the well-known generalized railroad crossing problem.