Tree Automata, (Dis-)Equality Constraints and Term Rewriting - What's New?

نویسنده

  • Sophie Tison
چکیده

Connections between Tree Automata and Term Rewriting are now well known. Whereas tree automata can be viewed as a subclass of ground rewrite systems, tree automata are successfully used as decision tools in rewriting theory. Furthermore, applications, including rewriting theory, have influenced the definition of new classes of tree automata. In this talk, we will first present a short and not exhaustive reminder of some fruitful applications of tree automata in rewriting theory. Then, we will focus on extensions of tree automata, specially tree automata with local or/and global (dis-)equality constraints: we will emphasize new results, compare different extensions, and sketch some applications. This talk will be strongly inspired by recent works of several researchers, specially but not exclusively: Emmanuel Filiot, Guillem Godoy, Florent Jacquemard, Jean-Marc Talbot, Camille

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

22nd International Conference on Rewriting Techniques and Applications (RTA'11)

Connections between Tree Automata and Term Rewriting are now well known. Whereas treeautomata can be viewed as a subclass of ground rewrite systems, tree automata are successfullyused as decision tools in rewriting theory. Furthermore, applications, including rewriting theory,have influenced the definition of new classes of tree automata. In this talk, we will first presenta sho...

متن کامل

The Recognizability Problem for Tree Automatawith Comparisons

Several extensions of tree automata have been deened, in order to take in account non-linearity in terms. Roughly, these automata allow equality or disequality constraints between subterms. They have been used to get decision results, e.g. in term rewriting. One natural question arises when we consider a language recognized by such an automaton: is this language recognizable, i.e. are the const...

متن کامل

Closure of Tree Automata Languages under Innermost Rewriting

Preservation of regularity by a term rewrite system (TRS) states that the set of reachable terms from a tree automata (TA) language (aka regular term set) is also a TA language. It is an important and useful property, and there have been many works on identifying classes of TRS ensuring it; unfortunately, regularity is not preserved for restricted classes of TRS like shallow TRS. Nevertheless, ...

متن کامل

Rigid Tree Automata

We introduce the class of Rigid Tree Automata (RTA), an extension of standard bottom-up automata on ranked trees with distinguished states called rigid. Rigid states define a restriction on the computation of RTA on trees: two subtrees reaching the same rigid state in a run must be equal. RTA are able to perform local and global tests of equality between subtrees, non-linear tree pattern matchi...

متن کامل

Tree Automata with Global Constraints

A tree automaton with global tree equality and disequality constraints, TAGED for short, is an automaton on trees which allows to test (dis)equalities between subtrees which may be arbitrarily faraway. In particular, it is equipped with an (dis)equality relation on states, so that whenever two subtrees t and t′ evaluate (in an accepting run) to two states which are in the (dis)equality relation...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011