Properties of Quasi-Relabeling Tree Bimorphisms
نویسندگان
چکیده
The fundamental properties of the class QUASI of quasi-relabeling relations are investigated. A quasi-relabeling relation is a tree relation that is de ned by a tree bimorphism (φ,L, ψ), where φ and ψ are quasi-relabeling tree homomorphisms and L is a regular tree language. Such relations admit a canonical representation, which immediately also yields that QUASI is closed under nite union. However, QUASI is not closed under intersection and complement. In addition, many standard relations on trees (e.g., branches, subtrees, v-product, v-quotient, and f -top-catenation) are not quasi-relabeling relations. If quasi-relabeling relations are considered as string relations (by taking the yields of the trees), then every Cartesian product of two context-free string languages is a quasi-relabeling relation. Finally, the connections between quasi-relabeling relations, alphabetic relations, and classes of tree relations de ned by several types of top-down tree transducers are presented. These connections yield that quasi-relabeling relations preserve the regular and algebraic tree languages.
منابع مشابه
Syntax-Directed Translations and Quasi-alphabetic Tree Bimorphisms - Revisited
Quasi-alphabetic tree bimorphisms [Steinby and Tîrn uc : Syntax-Directed Translations and Quasi-Alphabetic Tree Bimorphisms. Proc. CIAA, LNCS 4783:265 276, 2007] are reconsidered. It is known that the class of (string) translations de ned by such bimorphisms coincides with the class of syntax-directed translations. This result is extended to a smaller class of tree bimorphisms namely (linear an...
متن کاملProperties of quasi-alphabetic tree bimorphisms
We study the class of quasi-alphabetic relations, i.e., tree transformations de ned by tree bimorphisms (';L; ) with '; quasi-alphabetic tree homomorphisms and L a regular tree language. We present a canonical representation of these relations; as an immediate consequence, we get the closure under union. Also, we show that they are not closed under intersection and complement, and do not preser...
متن کاملSynchronous Grammars as Tree Transducers
Tree transducer formalisms were developed in the formal language theory community as generalizations of finite-state transducers from strings to trees. Independently, synchronous tree-substitution and -adjoining grammars arose in the computational linguistics community as a means to augment strictly syntactic formalisms to provide for parallel semantics. We present the first synthesis of these ...
متن کاملSynchronous Context-Free Tree Grammars
We consider pairs of context-free tree grammars combined through synchronous rewriting. The resulting formalism is at least as powerful as synchronous tree adjoining grammars and linear, nondeleting macro tree transducers, while the parsing complexity remains polynomial. Its power is subsumed by context-free hypergraph grammars. The new formalism has an alternative characterization in terms of ...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Int. J. Found. Comput. Sci.
دوره 21 شماره
صفحات -
تاریخ انتشار 2010