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Reconstructibility of Boolean control networks with time delays in states

Ping Sun, Lijun Zhang, Kuize Zhang (2018)

Kybernetika

This paper deals with the reconstructibility of Boolean control networks (BCNs) with time delays in states. First, a survey on the semi-tensor product, weighted pair graph, constructed forest and finite automata is given. Second, by using the weighted pair graph, constructed forest and finite automata, an algorithm is designed to judge whether a Boolean control network with time delays in states is reconstructable or not under a mild assumption. Third, an algorithm is proposed to determine the current...

Recursive expansions

C. Ash, J. Knight (1994)

Fundamenta Mathematicae

Let A be a recursive structure, and let ψ be a recursive infinitary Π 2 sentence involving a new relation symbol. The main result of the paper gives syntactical conditions which are necessary and sufficient for every recursive copy of A to have a recursive expansion to a model of ψ, provided A satisfies certain decidability conditions. The decidability conditions involve a notion of rank. The main result is applied to prove some earlier results of Metakides-Nerode and Goncharov. In these applications,...

Relating automata-theoretic hierarchies to complexity-theoretic hierarchies

Victor L. Selivanov (2002)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We show that some natural refinements of the Straubing and Brzozowski hierarchies correspond (via the so called leaf-languages) step by step to similar refinements of the polynomial-time hierarchy. This extends a result of Burtschik and Vollmer on relationship between the Straubing and the polynomial hierarchies. In particular, this applies to the Boolean hierarchy and the plus-hierarchy.

Relating Automata-theoretic Hierarchies to Complexity-theoretic Hierarchies

Victor L. Selivanov (2010)

RAIRO - Theoretical Informatics and Applications

We show that some natural refinements of the Straubing and Brzozowski hierarchies correspond (via the so called leaf-languages) step by step to similar refinements of the polynomial-time hierarchy. This extends a result of Burtschik and Vollmer on relationship between the Straubing and the polynomial hierarchies. In particular, this applies to the Boolean hierarchy and the plus-hierarchy.

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