Displaying similar documents to “On the formal inverse of polynomial endomorphisms”

Arbology: Trees and pushdown automata

Bořivoj Melichar, Jan Janoušek, Tomas Flouri (2012)

Kybernetika

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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...

Tree compression pushdown automaton

Jan Janoušek, Bořivoj Melichar, Martin Poliak (2012)

Kybernetika

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A new kind of a deterministic pushdown automaton, called a Tree Compression Automaton, is presented. The tree compression automaton represents a complete compressed index of a set of trees for subtrees and accepts all subtrees of given trees. The algorithm for constructing our pushdown automaton is incremental. For a single tree with n nodes, the automaton has at most n + 1 states, its transition function cardinality is at most 4 n and there are 2 n + 1 pushdown store symbols. If hashing is used...

Combinatorial trees in Priestley spaces

Richard N. Ball, Aleš Pultr, Jiří Sichler (2005)

Commentationes Mathematicae Universitatis Carolinae

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We show that prohibiting a combinatorial tree in the Priestley duals determines an axiomatizable class of distributive lattices. On the other hand, prohibiting n -crowns with n 3 does not. Given what is known about the diamond, this is another strong indication that this fact characterizes combinatorial trees. We also discuss varieties of 2-Heyting algebras in this context.