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Search results for: PERFECT HASHING
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Perfect hashing tree automata
PublicationWe present an algorithm that computes a function that assigns consecutive integers to trees recognized by a deterministic, acyclic, finite-state, bottom-up tree automaton. Such function is called minimal perfect hashing. It can be used to identify trees recognized by the automaton. Its value may be seen as an index in some other data structures. We also present an algorithm for inverted hashing.Przedstawiamy algorytm, który oblicza...
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Dynamic Perfect hashing with finite-state automata
PublicationMinimalna doskonała funkcja mieszająca dostarcza odwzorowania zbioru n niepowtarzalnych słów w zwarty zakres n liczb całkowitych. Gdy jest realizowane za pomocą automatów skończonych, odwzorowanie wynika z porządku słów (zwykle alfabetycznego) w zbiorze. Dodanie nowych słów zmieniłoby porządek słów rozpoznawanych przez automat, zmieniając całe odwzorowanie i czyniąc je bezużytecznym w wielu dziedzinach. Dlatego nazywamy je statycznym....
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Perfect hashing with pseudo-minimal bottom-up deterministic tree automata
PublicationWe describe a technique that maps unranked trees to their hash codes using a bottom-up deterministic tree automaton (DTA). In contrast to techniques implemented with minimal tree automata, our procedure builds a pseudo-minimal DTA. Pseudo-minimal automata are larger than the minimal ones but in turn the mapping can be arbitrary, so it can be determined prior to the automaton construction. We also provide procedures to build incrementally...
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A perfect hashing incremental scheme for unranked trees using pseudo-minimal automata
PublicationWe describe a technique that maps unranked trees to arbitrary hash codes using a bottom-up deterministic tree automaton (DTA). In contrast to other hashing techniques based on automata, our procedure builds a pseudo-minimal DTA for this purpose. A pseudo-minimal automaton may be larger than the minimal one accepting the same language but, in turn, it contains proper elements (states or transitions that are unique) for every input...
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Preserving Trees in Automata
PublicationWe present a method to store additional information in a minimal automaton so that it is possible to compute a corresponding tree node number for a state. The number can then be used to retrieve additional information. The method works for minimal (and any other) deterministic acyclic finite state automata (DFAs). We also show how to compute the inverse mapping.