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Arbology: Trees and pushdown automata

Bořivoj Melichar, Jan Janoušek, Tomas Flouri (2012)

Kybernetika

We present a unified and systematic approach to basic principles of Arbology, a new algorithmic discipline focusing on algorithms on trees. Stringology, a highly developed algorithmic discipline in the area of string processing, can use finite automata as its basic model of computation. For various kinds of linear notations of ranked and unranked ordered trees it holds that subtrees of a tree in a linear notation are substrings of the tree in the linear notation. Arbology uses pushdown automata...

Asymptotic analysis of a class of functional equations and applications

P. J. Grabner, H. Prodinger, R. F. Tichy (1993)

Journal de théorie des nombres de Bordeaux

Flajolet and Richmond have invented a method to solve a large class of divide-and-conquer recursions. The essential part of it is the asymptotic analysis of a certain generating function for z by means of the Mellin transform. In this paper this type of analysis is performed for a reasonably large class of generating functions fulfilling a functional equation with polynomial coefficients. As an application, the average life time of a party of N people is computed, where each person advances one...

Asymptotic behaviour of bi-infinite words

Wit Foryś (2004)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We present a description of asymptotic behaviour of languages of bi-infinite words obtained by iterating morphisms defined on free monoids.

Asymptotic behaviour of bi-infinite words

Wit Foryś (2010)

RAIRO - Theoretical Informatics and Applications

We present a description of asymptotic behaviour of languages of bi-infinite words obtained by iterating morphisms defined on free monoids.

Asynchronous sliding block maps

Marie-Pierre Béal, Olivier Carton (2000)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Asynchronous sliding block maps

Marie-Pierre Béal, Olivier Carton (2010)

RAIRO - Theoretical Informatics and Applications

We define a notion of asynchronous sliding block map that can be realized by transducers labeled in A* × B*. We show that, under some conditions, it is possible to synchronize this transducer by state splitting, in order to get a transducer which defines the same sliding block map and which is labeled in A × Bk, where k is a constant integer. In the case of a transducer with a strongly connected graph, the synchronization process can be considered as an implementation of an algorithm of...

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