Equality sets for recursively enumerable languages [PDF]
We consider shifted equality sets of the form EG(a, g1 ,g 2 )= {w | g1(w )= ag2(w)} ,w hereg1 and g2 are nonerasing morphisms and a is a letter. We are interested in the family consisting of the languages h(EG(J)), where h is a coding and EG(J )i s as hifted equality set. We prove several closure properties for this family.
Vesa Halava +3 more
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On representing recursively enumerable languages by internal contextual languages [PDF]
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Andrzej Ehrenfeucht +2 more
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Intersection-closed full AFL and the recursively enumerable languages [PDF]
A study is made of conditions on a language L which ensure that the smallest intersection-closed full AFL containing L (written ℱ^∩(L)) does or does not contain all recursively enumerable languages. For example, it is shown that if L = {ani/j⩾0} and limi→∞ inf(ni+1/ni) > 1, then ℱ^∩(L) contains all recursively enumerable languages.
Seymour Ginsburg, Jonathan Goldstine
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On the power of cooperation: a regular representation of recursively enumerable languages [PDF]
A cooperating distributed grammar system (CDGS), as introduced by \textit{E. Csuhaj-Varju} and \textit{J. Dassow} [J. Inform. Process. Cybern. EIK 26, 49-63 (1990)] is a construct \(\gamma=(N,T,G_ 1,\dots\), \(G_ n,S)\), where \(N\), \(T\) are nonterminal and terminal vocabularies, \(S\in N\) and \(G_ i=(N_ i,T_ i,S_ i,P_ i)\) are grammars with \(N_ i ...
Erzsébet Csuhaj-Varjú, Jozef Kelemen
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Characterizations of recursively enumerable languages by means of insertion grammars [PDF]
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Carlos Martín-Vide +2 more
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Very special languages and representations of recursively enumerable languages via computation histories [PDF]
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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A representation of recursively enumerable languages by two homomorphisms and a quotient [PDF]
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 ...
Geffert, Viliam
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On characterization of recursively enumerable languages in terms of linear languages and VW-grammars [PDF]
AbstractIt is proved that for any alphabet Σ there exist a homomorphism h, a deterministic minimal linear language L1 and a linear language L2 such that every recursively enumerable language R over Σ is of the form L = h(L1 ∩ L2 ∪ RL) for some regular language RL depending on L. Some other homomorphic characterizations are also presented.
Turakainen, Paavo
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Recursively enumerable languages and van Wijngaarden grammars [PDF]
AbstractWe show that each re language can be generated by a minimal deterministic linear contextfree based strict normal VW-grammar. We also prove that each re language can be generated by a strict normal VW-grammar with at most one metanotion denoting a non-regular contextfree language.
Van Leeuwen, Jan
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Transformation of Turing Machines into Context-Dependent Fusion Grammars [PDF]
Context-dependent fusion grammars were recently introduced as devices for the generation of hypergraph languages. In this paper, we show that this new type of hypergraph grammars, where the application of fusion rules is restricted by positive and ...
Aaron Lye
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