Results 1 to 10 of about 115 (104)
A homomorphic characterization of recursively enumerable languages
We give a homomorphic characterization of the class of recursively enumerable languages: it is shown that any recursively enumerable language is the homomorphic image of the intersection of a Dyck language and a 'minimal linear' language.
Sadaki Hirose +2 more
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Representing recursively enumerable languages by iterated deletion
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Michael Domaratzki, Alexander Okhotin
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Fixed Point Languages, Equality Languages, and Representation of Recursively Enumerable Languages [PDF]
Fixed point languages and equality languages of homomorphisms and dgsm mappings are consid- ered. Some basic properties of these classes of languages are proved, and it is shown how to use them to represent recursively enumerable sets. In particular, very simple languages are introduced which play the same role for the class of recursively enumerable ...
G Rozenberg
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On representing recursively enumerable languages by internal contextual languages
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Grzegorz Rozenberg +1 more
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A representation of recursively enumerable languages by two homomorphisms and a quotient
For two strings x and y, \(x\setminus y\) is the string z when \(y=xz\); otherwise \(x\setminus y\) is undefined. The author proves the following representation theorem: For each recursively enumerable set L (over alphabet \(\Sigma)\) there exist two homomorphisms \(h_ 1\), \(h_ 2:\) \(\Sigma^*_ 1\to \Sigma^*_ 2\) \((\Sigma \subseteq \Sigma_ 2)\) such ...
Viliam Geffert
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A method of encoding the computation histories of a wide class of machines is introduced and used to derive several representation theorems for the class of recursively enumerable languages. In particular it is demonstrated that any recursively enumerable language K ⊂ Σ* can be represented as K = ΦΣ(R ∩ D1 ⋮ D2), where D1 and D2 are fixed semi-Dyck ...
David Haussler, H. Paul Zeiger
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Homomorphic characterizations of recursively enumerable languages with very small language classes
In this paper, we attempt to characterize the class of recursively enumerable languages with much smaller language classes than that of linear languages. Language classes, \((i,j)\) LL and \((i,j)ML,\) of \((i,j)\) linear languages and \((i,j)\) minimal linear languages are defined by posing restrictions on the form of production rules and the number ...
Satoshi Okawa, Sadaki Hirose
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Existential Definability over the Subword Ordering [PDF]
We study first-order logic (FO) over the structure consisting of finite words over some alphabet $A$, together with the (non-contiguous) subword ordering.
Pascal Baumann +3 more
doaj +1 more source
Computational Power of P Systems with Small Size Insertion and Deletion Rules [PDF]
Recent investigations show insertion-deletion systems of small size that are not complete and cannot generate all recursively enumerable languages.
Sergey Verlan +2 more
doaj +1 more source
Adding Matrix Control: Insertion-Deletion Systems with Substitutions III
Insertion-deletion systems have been introduced as a formalism to model operations that find their counterparts in ideas of bio-computing, more specifically, when using DNA or RNA strings and biological mechanisms that work on these strings.
Martin Vu, Henning Fernau
doaj +1 more source

