Completeness of context-free grammar forms

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Completeness of Context-Free Grammar Forms

The notions of a grammar form and g-interpretation were first introduced in [2]. However, it quickly became apparent, particularly for EOL forms [5], that (strict) interpretations had a wider interest as well as being better motivated mathematically. The study of parsing of grammar forms detailed in [4], the basic investigation in [8] on linear completeness amongst other results, the study of d...

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Derivation Complexity in Context-Free Grammar Forms

Let F be an arbitrary context-free grammar form and (F) the family of grammars defined by F. For each grammar G in d(F), the derivation complexity function 6, on the language of G, is defined for each word x as the number of steps in a minimal G-derivation of x. It is shown that derivations may always be speeded up by any constant factor n, in the sense that for each positive integer n, an equi...

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On the Computational Completeness of Context-Free Parallel Communicating Grammar Systems

We prove that all recursively enumerable languages can be generated by context-free returning parallel communicating grammar systems by showing how the parallel communicating grammars can simulate two-counter machines, a class of Turing machine variants which is known to be computationally complete. Moreover, we prove that systems with a bounded number of components are suucient to reach this g...

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Context-Free Grammar — Part I

The articles [8], [5], [9], [1], [10], [11], [3], [2], [7], [4], and [6] provide the notation and terminology for this paper. We consider tree construction structures as extensions of 1-sorted structure as systems 〈 a carrier, rules 〉, where the carrier is a set and the rules constitute a relation between the carrier and the carrier∗. Let us note that there exists a tree construction structure ...

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ژورنال

عنوان ژورنال: Journal of Computer and System Sciences

سال: 1981

ISSN: 0022-0000

DOI: 10.1016/0022-0000(81)90001-5