函数依赖和规范化在关系和XML间的传播

XML和关系的结合是一个重要的研究领域,讨论函数依赖和规范化在关系及XML间的传播问题.首先引入XML上函数依赖和键的定义,并进一步定义XML上的数据冗余和规范化DTD的概念.分别讨论在关系和XML相互转化的过程中,函数依赖的传播问题.针对一种一般化的关系模式DTD表示,证明原有关系中的函数依赖可以在生成的XML文档上得到表示.针对一种常见的XML关系存储方法,说明最终生成关系上的函数依赖与原有XML上函数依赖的对应关系.函数依赖传播的核心意义在于规范化的传播.证明使用上述方法时,若原有的关系是满足BCNF的,则发布得到的DTD也是规范化的;若原始的DTD是规范化的,则得到的关系存储也满足BCNF范式.     

XML文档在关系数据库中的规范化存储

提出了一种存储方法，首先把XML文档映射为泛关系模式，再利用算法DeriveFDs推导出XML键所蕴含的泛关系模式上函数依赖集的规范覆盖，根据此规范覆盖，最后将泛关系模式保持函数依赖地分解为3NF模式集。得到了保持XML键约束的规范化存储模式，实现了XML文档在关系数据库中的规范化存储。实验研究表明文中提出的方法是有效的。     

基于模式图的规范化XML模式设计

在给定关系模式的属性集及其函数依赖最小覆盖集的基础上,提出一种基于模式图的规范化XML模式设计方法。定义了模式图,在模式图中增加了Keys的描述信息,给出由函数依赖集构造模式图的算法。该模式图独立于具体的XML模式语言,经分析证明,所设计的模式满足XNF。     

从DTD映射到关系模式:一种保持数据依赖的映射方法

XML正迅速成为互联网上数据表示和交换的标准．用关系数据库存储XML数据是XML存储策略之一．为了将XML数据存储到关系数据库中，人们研究了从DTD到关系模式的映射方法．提出了一种保持数据依赖的映射方法PDD．与已有的Shared—Inlining方法相比，PDD方法充分考虑了DTD蕴涵的数据依赖关系，保证了XML文档的完整性．通过对泛关系进行模式分解，得到的关系模式保持函数依赖，并且满足2NF．可以证明，这种方法是有效的．     

Mapping DTDs to relational schemas with semantic constraints

XML is becoming a prevalent format and standard for data exchange in many applications. With the increase of XML data, there is an urgent need to research some efficient methods to store and manage XML data. As relational databases are the primary choices for this purpose considering their data management power, it is necessary to research the problem of mapping XML schemas to relational schemas. The semantics of XML schemas are crucial to design, query, and store XML documents and functional dependencies are very important representations of semantic information of XML schemas. As DTDs are one of the most frequently used schemas for XML documents in these days, we will use DTDs as schemas of XML documents here. This paper proposes the concept and the formal definition of XML functional dependencies over DTDs. A method to map XML DTDs to relational schemas with constraints such as functional dependencies, domain constraints, choice constraints, reference constraints, and cardinality constraints over DTDs is given, which can preserve the structures of DTDs as well as the semantics implied by the above constraints over DTDs. The concepts and method of mapping DTDs to relational schemas presented in the paper can be extended to the field of XML Schema just with some modifications in related formal definitions.     

XML函数依赖及其与键的关系

通过分析函数依赖的表现形式在XML文档和关系数据库中的不同之处，提出了基于DTD中的路径表达式的XML函数依赖的概念．并且给出了XML函数依赖的XML表示方法，研究了XML函数依赖和XML键的关系．     

一种DTD到关系模式的映射方法

现有的XML到关系数据的映射算法没有充分考虑DTD中所蕴涵的语义，如果DTD中蕴含函数依赖，在映射到关系数据库时应考虑DTD中的函数依赖，基于Inlining算法，考虑DTD中蕴含的函数依赖，提出了一种既能保持XML文档的内容和结构，又能保持函数依赖的从XML到关系数据模型的映射方法。     

XML模式到关系数据模式转换的研究

分析和研究了DTD模式到关系模式的内联映射算法,提出一种带约束条件和函数依赖的映射方法。该方法结合给定规则对XML DTD进行简化,构造带约束条件的DTD图,并依照图中的一些函数依赖关系以及函数依赖关系的讨论得到最终关系集合,在引入映射方法的同时给出实例进行介绍,从而得到更加完备的关系模式。     

Functional dependencies among Boolean dependencies

In this paper, we consider functional dependencies among Boolean dependencies (BDs, for short). Armstrong relations are defined for BDs (called BD-Armstrong relations). For BDs, two necessary and sufficient conditions for the existence of BD-Armstrong relations are given. A necessary and sufficient condition for the existence of Armstrong relations for functional dependencies (FDs, for short) is given, which in some sense is more convenient than the condition given in [3]. We give an algorithm that solves the problem of deciding if two BDs imply the same set of functional dependencies. If the BDs are given in perfect disjunctive normal form, then the algorithm requires only polynomial time. Although Mannila and Räihä have shown that for some relations exponential time is needed for computing any cover of the set of FDs defined in this relation, as a consequence, we show that the problem of deciding if two relations satisfy the same set of FDs can be solved in polynomial time. Another consequence is a new correspondence of the families of functional dependencies to the families of Sperner systems. By this correspondence, the estimate of the number of databases given previously in [6] is improved. It is shown that there is a one-to-one correspondence between the closure of the FDs that hold in a BD and its so-calledbasic cover. As applications of basic covers, we obtain a representation of a key, the family of minimal keys and a representation of canonical covers.This research was supported by the Hungarian Foundation for Scientific Research, Grant Nos. OTKA 2575, 2149.     

Database reverse engineering: From the relational to the binary relationship model

This paper describes an algorithmic method for transforming a relational database schema to a binary-relationship one. The source schema may consist of relations that are at any level of normalization, and the designer may add semantic information on the source schema, such as the definition of candidate keys, foreign keys, functional dependencies of various types, multi-valued dependencies, many-to-many constraints, inclusion dependencies, and others. Based on this information, the multi-stage transformation algorithm applies mapping rules to generate object-types, binary-relationships and constraints in the target conceptual schema. The method is implemented as a PC-based tool, utilizing Ingres, SQL and C, and is part of a comprehensive database design tool for both forward and reverse engineering.     

Tractable XML data exchange via relations

We consider data exchange for XML documents: given source and target schemas, a mapping between them, and a document conforming to the source schema, construct a target document and answer target queries in a way that is consistent with the source information. The problem has primarily been studied in the relational context, in which data-exchange systems have also been built. Since many XML documents are stored in relations, it is natural to consider using a relational system for XML data exchange. However, there is a complexity mismatch between query answering in relational and in XML data exchange. This indicates that to make the use of relational systems possible, restrictions have to be imposed on XML schemas and mappings, as well as on XML shredding schemes. We isolate a set of five requirements that must be fulfilled in order to have a faithful representation of the XML data-exchange problem by a relational translation. We then demonstrate that these requirements naturally suggest the in-lining technique for data-exchange tasks. Our key contribution is to provide shredding algorithms for schemas, documents, mappings and queries, and demonstrate that they enable us to correctly perform XML data-exchange tasks using a relational system.     

用于XML模式和DTD规范化设计的层次模式设计

XML模式和DTD(document type definition)规范化设计是给出一个很好地表示数据间依赖关系并消除了冗余的XML模式或DTD的集合.目前在这一方面开展的研究还不多,而且才刚起步.Provost提出将关系数据库理论应用于XML模式规范化设计的思想,这一思想还没有付诸实施.在Provost思想的基础上给出用于XML模式和DTD规范化设计的层次模式设计的算法.首先分析了基于Provost思想的层次分解;然后给出用于消除冗余模式的分解树设计算法;最后给出用于XML模式和DTD规范化设计的层次     

Armstrong axioms and Boyce-Codd-Heath Normal Form under bag semantics

The theory of functional dependencies is based on relations, i.e. sets of tuples. Over relations, the class of functional dependencies subsumes the class of keys. Commercial database systems permit the storage of bags of tuples where duplicate tuples can occur. Over bags, keys and functional dependencies interact differently from how they interact over relations.We establish finite ground axiomatizations of keys and functional dependencies over bags, and show a strong correspondence to goal and definite clauses in classical propositional logic. We define a syntactic Boyce-Codd-Heath Normal Form condition, and show that the condition characterizes schemata that will never have any redundant data value occurrences in their instances. The results close the gap between the existing set-based theory of data dependencies and database practice where bags are permitted.     

XML schema refinement through redundancy detection and normalization

As XML becomes increasingly popular, XML schema design has become an increasingly important issue. One of the central objectives of good schema design is to avoid data redundancies: redundantly stored information can lead not just only to a higher data storage cost but also to increased costs for data transfer and data manipulation. Furthermore, such data redundancies can lead to potential update anomalies, rendering the database inconsistent. One strategy to avoid data redundancies is to design redundancy-free schema from the start on the basis of known functional dependencies. We observe that XML databases are often “casually designed” and XML FDs may not be determined in advance. Under such circumstances, discovering XML data redundancies from the data itself becomes necessary and is an integral part of the schema refinement (or re-design) process. We present the design and implementation of the first system, DiscoverXFD, for efficient discovery of XML data redundancies. It employs a novel XML data structure and introduces a new class of partition-based algorithms. The XML data redundancies are defined on the basis of a new notion of XML functional dependency (XML FD) that (1) extends previous notions by incorporating set elements into the XML FD specification, and (2) maintains tuple-based semantics through the novel concept of Generalized Tree Tuple (GTT). Using this comprehensive XML FD notion, we introduce a new normal form (GTT-XNF) for XML documents, and provide comprehensive comparisons with previous studies. Given the set of data redundancies (in the form of redundancy-indicating XML FDs) discovered by DiscoverXFD, we describe a normalization algorithm for converting any original XML schema into one in GTT-XNF.     

关系数据库模式中候选码的求解算法

在设计和应用关系数据库时,都需要使用候选码。本文介绍了求解一个关系模式的候选码的两种算法。算法一可计算出一个候选码,算法二可计算出全部候选码。     

基于XML Schema的XML存储

文章介绍了一个在关系数据库中,基于XMLSchema的XML存储方案。描述了一个以树模型为模型,XMLSchema为模式的XML数据库的存储系统。首先给出了在关系数据库中存储XMLSchema的方法,在此基础上,又给出了存储XML文档的方法。与通常的XML分解存储方案不同之处在于,在该方案中,XMLSchema被保存到数据库中,未作模式映射,避免了模式映射通常会带来的数据丢失和数据要分散到多个关系表中的问题;对XML文档的存储和查询都是基于XMLSchema的;并且由于所有基于同一个模式的XML文档共享该模式的结构,不必对结构信息进行重复存储,减少了存储空间;最后,由于我们为每一个元素赋予了一个唯一ID值,在进行查询的时候,可以利用该ID值进行定位,具有和XPath表达式相同的作用,但是更为简便。     

The implication problem for ‘closest node’ functional dependencies in complete XML documents

With the growing use of XML as a format for the permanent storage of data, the study of functional dependencies in XML (XFDs) is of fundamental importance in a number of areas such as understanding how to effectively design XML databases without redundancy or update problems, and data integration. In this article we investigate a particular type of XFD, called a weak ‘closest node’ XFD, that has been shown to extend the classical notion of a functional dependency in relational databases. More specifically, we investigate the implication problem for weak ‘closest node’ XFDs in the context of XML documents with no missing information. The implication problem is the most important one in dependency theory, and is the problem of determining if a set of dependencies logically implies another dependency. Our first, and main, contribution is to provide an axiom system for XFD implication. We prove that our axiom system is both sound and complete, and we then use this result to develop a sound and complete quadratic time closure algorithm for XFD implication. Our second contribution is to investigate the implication problem for XFDs in the presence of a Document Type Definition (DTD). We show that for a class of DTDs called structured DTDs, the implication problem for a set of XFDs and a structured DTD can be converted to the implication problem for a set of XFDs alone, and so is axiomatizable and efficiently solvable by the first contribution. We do this by augmenting the original set of XFDs with additional XFDs generated from the structure of the DTD.     

Efficient schema-based XML-to-Relational data mapping

Storing and querying XML documents using a RDBMS is a challenging problem since one needs to resolve the conflict between the hierarchical, ordered nature of the XML data model and the flat, unordered nature of the relational data model. This conflict can be resolved by the following XML-to-Relational mappings: schema mapping, data mapping and query mapping. In this paper, we propose: (i) a lossless schema mapping algorithm to generate a database schema from a DTD, which makes several improvements over existing algorithms, (ii) two linear data mapping algorithms based on DOM and SAX, respectively, to map ordered XML data to relational data. To our best knowledge, there is no published linear schema-based data mapping algorithm for mapping ordered XML data to relational data. Experimental results are presented to show that our algorithms are efficient and scalable.     

基于键的XML模式到关系模式的规范化转换

本文针对XML模式向关系模式转换过程中形成的冗余和不规范,提出一种基于XML键的XML模式到关系模式的规范化转换算法。该算法以键为基础,根据XML函数依赖的一组推理规则,扩充函数依赖的集合,避免XML模式向关系模式转换过程中语义丢失的情况;再利用一组消解规则,消除冗余的函数依赖,使其满足极小函数依赖集;最后以键为中心划分关系属性,得到关系表,并且保证得到的关系模式满足3NF。     

XML多值依赖及其消除冗余模式的算法

从消除XML文档内数据冗余的角度出发研究了文档的规范化问题.首先引入XML上的数据冗余及其消除处理示例,同时基于函数依赖,提出了规范化的DTD概念和XML DTD 规范化处理规则;其次通过XML多值依赖的定义,给出用于消除冗余模式的算法;最后给出用于XML模式及其消除冗余模式的算法.该算法相应于其他XML模式的研究,在算法产生的层次模式中,完全MVD和嵌入MVD的集合由给出的MVD集合导出;并且产生的XML模式具有消除冗余模式和满足无损连接的特性.