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Open AccessJournal ArticleDOI

A note on enumerable grammars

Antoni W. Mazurkiewicz
- 01 Jun 1969 - 
- Vol. 14, Iss: 6, pp 555-558
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TLDR
The recursiveness of languages generated by ω-regular grammars is proved and the concept of a generalized grammar with an enumerable set of productions is introduced.
Abstract
A concept of a generalized grammar with an enumerable set of productions is introduced. Some of the generalized grammars, called “ω-regular grammars”, are considered. The recursiveness of languages generated by ω-regular grammars is proved.

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Total parser combinators

TL;DR: A monadic parser combinator library which guarantees termination of parsing, while still allowing many forms of left recursion, is described.
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Grammars with structured vocabulary: A model for the algol-68 definition

TL;DR: A length-nondecreasing restriction on vW[p]g is given, and it is shown that being a representation language of a vW [ p]g satisfying that restriction is characteristic of the A-free context-sensitive languages.
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Some restrictions on W-grammars

TL;DR: The effect of some restrictions on W-grammars (the formalization of the syntax of ALGOL 68) are explored and WRB is closed under nested iterated substitution and is properly contained in the family of indexed languages.
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Some restrictions on W -grammars.

TL;DR: The effect of some restrictions on W-grammars (the fonnalization of the syntax ofalgol 68) are explored and two incomparable families examined at length are Wrb andWs.
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