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Journal ArticleDOI

On the emptiness of the intersection of two DOS languages problem

TLDR
The notion of a DOS system is introduced which is a ‘sequential counterpart of the idea of a DOL system l’ and it is proved that the emptiness of the intersection problem for two DOS systems is proved.
About
This article is published in Information Processing Letters.The article was published on 1980-07-05. It has received 7 citations till now. The article focuses on the topics: Intersection & Cone (formal languages).

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Citations
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Very special languages and representations of recursively enumerable languages via computation histories

TL;DR: In particular, the authors showed that any recursively enumerable language K ⊂ Σ* can be represented as K = Φ Σ (R ∩ D 1 ⋮ D 2 ), where R is a regular language depending on K and Φ is a weak identity homomorphism.
Journal ArticleDOI

On basic properties of DOS systems and languages

TL;DR: A new type of grammar called a DOS system is introduced and investigated, which formalizes the notion of a context free grammar without variables that is generatively deterministic.
Journal ArticleDOI

Representation theorems using DOS languages

TL;DR: It is demonstrated that every context-free language is a homomorphic image of the intersection of two DOS languages and that every recursively enumerable language is the homomorphic images of the intersections of three DOS languages.
References
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Journal ArticleDOI

The word problem

Journal ArticleDOI

Simplifications of homomorphisms

TL;DR: The notion of a simplification of a homomorphism is introduced and investigated, and its usefulness is demonstrated in providing rather short proofs of the following results.