MonographHOLÍK Lukáš and VOJNAR Tomáš. Simulations and Aintichains for Efficient Handling of Tree Automata. Brno: Faculty of Information Technology BUT, 2010. ISBN 9788021442177.  Publication language:  english 

Original title:  Simulations and Aintichains for Efficient Handling of Tree Automata 

Title (cs):  Simulace a antiřetězy pro efektivní práci se stromovými automaty 

Pages:  150 

Series:  FIT Monograph 

Place:  Brno, CZ 

Year:  2010 

ISBN:  9788021442177 

Publisher:  Faculty of Information Technology BUT 

Keywords 

finite automata, finite tree automata, alternating Büchi automata, nondeterminism, simulation, bisimulation, universality, language inclusion, antichain, quotienting, regular tree model checking 
Annotation 

This work is focused on techniques for finite automata and their use in practice, with the main emphasis on nondeterministic tree automata. This concerns namely techniques for size reduction and language inclusion testing, which are two problems that are crucial for many applications of tree automata. For size reduction of tree automata, we adapt the simulation quotient technique that is well established for finite word automata. We give efficient algorithms for computing tree automata simulations and we also introduce a new type of relation that arises from a combination of tree automata downward and upward simulation and that is very well suited for quotienting. The combination principle is relevant also for word automata. We then generalise the so called antichain universality and language inclusion checking technique developed originally for finite word automata for tree automata. Subsequently, we improve the antichain technique for both word and tree automata by combining it with the simulationbased inclusion checking techniques, significantly improving efficiency of the antichain method. We then show how the developed reduction and inclusion checking methods improve the method of abstract regular tree model checking, the method that was the original motivation for starting the work on tree automata. Both the reduction and the language inclusion methods are based on relatively simple and general principles that can be further extended for other types of automata and related formalisms. An example is our adaptation of the reduction methods for alternating Büchi automata, which results in an efficient alternating automata size reduction technique. 
BibTeX: 

@BOOK{
author = {Luk{\'{a}}{\v{s}} Hol{\'{i}}k and Tom{\'{a}}{\v{s}} Vojnar},
title = {Simulations and Aintichains for Efficient Handling of Tree
Automata},
pages = {150},
series = {FIT Monograph},
year = {2010},
location = {Brno, CZ},
publisher = {Faculty of Information Technology BUT},
ISBN = {9788021442177},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php?id=9464}
} 
