Technical Report CS0340

Title: Fairness in Context-Free Grammars under Canonical Derivations
Authors: S. Porat and N. Francez
Abstract: In [PFMZ 62] the notion of Fair derivations in context free grammars was introduced and studied. The main result there is a characterization of fairly terminating grammars as non-variable·doubling. In this paper we show that the same characterization is valid under canonical derivations in which the. next variable to be expanded is deterministically chosen, leaving nondeterrninism only to the decision as to which rule to apply. Two families of canonical derivations are introduced and studied: 1) Spinal derivations and 2) Layered derivations.
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