ACM SIGMOD Anthology ACM SIGMOD dblp.uni-trier.de

The Universality of Data Retrieval Languages.

Alfred V. Aho, Jeffrey D. Ullman: The Universality of Data Retrieval Languages. POPL 1979: 110-120
@inproceedings{DBLP:conf/popl/AhoU79,
  author    = {Alfred V. Aho and
               Jeffrey D. Ullman},
  title     = {The Universality of Data Retrieval Languages},
  booktitle = {POPL},
  year      = {1979},
  pages     = {110-120},
  ee        = {db/conf/popl/AhoU79.html},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}
BibTeX

Abstract

We consider the question of how powerful a relational query language should be and state two principles that we feel any query language should satisfy. We show that although relational algebra and relational calculus satisfy these principles, there are certain queries involving least fixed points that cannot be expressed by these languages, yet that also satisfy the principles. We then consider various extensions of relational algebra to enable it to answer such queries. Finally, we discuss our extensions to relational algebra in terms of a new programming language oriented model for queries.

Copyright © 1979 by the ACM, Inc., used by permission. Permission to make digital or hard copies is granted provided that copies are not made or distributed for profit or direct commercial advantage, and that copies show this notice on the first page or initial screen of a display along with the full citation.


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Printed Edition

Conference Record of the Sixth Annual ACM Symposium on Principles of Programming Languages, San Antonio, Texas, January 1979. ACM 1979 BibTeX
Contents

References

[AHU]
Alfred V. Aho, John E. Hopcroft, Jeffrey D. Ullman: The Design and Analysis of Computer Algorithms. Addison-Wesley 1974, ISBN 0-201-00029-6
BibTeX
[ASU]
Alfred V. Aho, Yehoshua Sagiv, Jeffrey D. Ullman: Equivalences Among Relational Expressions. SIAM J. Comput. 8(2): 218-246(1979) BibTeX
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[C2]
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[Ch]
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[CM]
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[D]
C. J. Date: An Introduction to Database Systems. Addison-Wesley 1975, ISBN 0-201-14452-2
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[P]
Jan Paredaens: On the Expressive Power of the Relational Algebra. Inf. Process. Lett. 7(2): 107-111(1978) BibTeX
[S]
Claus-Peter Schnorr: An Algorithm for Transitive Closure with Linear Expected Time. SIAM J. Comput. 7(2): 127-133(1978) BibTeX
[SC]
John Miles Smith, Philip Yen-Tang Chang: Optimizing the Performance of a Relational Algebra Database Interface. Commun. ACM 18(10): 568-579(1975) BibTeX
[SY]
Yehoshua Sagiv, Mihalis Yannakakis: Equivalence among Relational Expressions with the Union and Difference Operation. VLDB 1978: 535-548 BibTeX
[T]
...
[Z]
Moshé M. Zloof: Query-by-Example: A Data Base Language. IBM Systems Journal 16(4): 324-343(1977) BibTeX

Referenced by

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  48. Inderpal Singh Mumick, Hamid Pirahesh: Overbound and Right-Linear Queries. PODS 1991: 127-141
  49. Neil Immerman, Sushant Patnaik, David W. Stemple: The Expressiveness of a Family of Finite Set Languages. PODS 1991: 37-52
  50. Foto N. Afrati, Stavros S. Cosmadakis, Mihalis Yannakakis: On Datalog vs. Polynomial Time. PODS 1991: 13-25
  51. Ke Wang, Li-Yan Yuan: First-Order Logic Reducible Programs. ICDE 1991: 746-755
  52. Keh-Chang Guh, Chengyu Sun, Clement T. Yu: Real Time Retrieval and Update of Materialized Transitive Closure. ICDE 1991: 690-697
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  54. Béatrice Finance, Georges Gardarin: A Rule-Based Query Rewriter in an Extensible DBMS. ICDE 1991: 248-256
  55. Shaul Dar, Rakesh Agrawal, H. V. Jagadish: Optimization of Generalized Transitive Closure Queries. ICDE 1991: 345-354
  56. Val Tannen, Peter Buneman, Shamim A. Naqvi: Structural Recursion as a Query Language. DBPL 1991: 9-19
  57. Sang Ho Lee, Lawrence J. Henschen: Evaluation of Extended Recursive Queries in Deductive Databases. DASFAA 1991: 209-215
  58. Michael Kifer, Eliezer L. Lozinskii: On Compile-Time Query Optimization in Deductive Databases by Means of Static Filtering. ACM Trans. Database Syst. 15(3): 385-426(1990)
  59. Rakesh Agrawal, Shaul Dar, H. V. Jagadish: Direct Transitive Closure Algorithms: Design and Performance Evaluation. ACM Trans. Database Syst. 15(3): 427-458(1990)
  60. Michael V. Mannino, Leonard D. Shapiro: Extensions to Query Languages for Graph Traversal Problems. IEEE Trans. Knowl. Data Eng. 2(3): 353-363(1990)
  61. Johann Eder: Extending SQL with General Transitive Closure and Extreme Value Selections. IEEE Trans. Knowl. Data Eng. 2(4): 381-390(1990)
  62. Danette Chimenti, Ruben Gamboa, Ravi Krishnamurthy, Shamim A. Naqvi, Shalom Tsur, Carlo Zaniolo: The LDL System Prototype. IEEE Trans. Knowl. Data Eng. 2(1): 76-90(1990)
  63. Tiziana Catarci, Giuseppe Santucci: GRASP: A Graphical System for Statistical Databases. SSDBM 1990: 148-162
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  65. John S. Schlipf: The Expressive Powers of the Logic Programming Semantics. PODS 1990: 196-204
  66. Thane E. Plambeck: Semigroup Techniques in Recursive Query Optimization. PODS 1990: 145-153
  67. Phokion G. Kolaitis, Moshe Y. Vardi: On the Expressive Power of Datalog: Tools and a Case Study. PODS 1990: 61-71
  68. Mariano P. Consens, Alberto O. Mendelzon: GraphLog: a Visual Formalism for Real Life Recursion. PODS 1990: 404-416
  69. Gabriel M. Kuper: On The Expressive Power of the Relational Calculus with Arithmetic Constraints. ICDT 1990: 202-211
  70. Bin Jiang: A Suitable Algorithm for Computing Partial Transitive Closures in Databases. ICDE 1990: 264-271
  71. Catriel Beeri, Yoram Kornatzky: The Many Faces of Query Monotonicity. EDBT 1990: 120-135
  72. Jiawei Han, Wenyu Lu: Asynchronous Chain Recursions. IEEE Trans. Knowl. Data Eng. 1(2): 185-195(1989)
  73. Stefano Ceri, Georg Gottlob, Letizia Tanca: What you Always Wanted to Know About Datalog (And Never Dared to Ask). IEEE Trans. Knowl. Data Eng. 1(1): 146-166(1989)
  74. Rakesh Agrawal, Premkumar T. Devanbu: Moving Selections into Linear Least Fixpoint Queries. IEEE Trans. Knowl. Data Eng. 1(4): 424-432(1989)
  75. Yannis E. Ioannidis: Commutativity and its Role in the Processing of Linear Recursion. VLDB 1989: 155-163
  76. Jeffrey F. Naughton, Raghu Ramakrishnan, Yehoshua Sagiv, Jeffrey D. Ullman: Efficient Evaluation of Right-, Left-, and Mult-Lineare Rules. SIGMOD Conference 1989: 235-242
  77. Yannis E. Ioannidis, Timos K. Sellis: Conflict Resolution of Rules Assigning Values to Virtual Attributes. SIGMOD Conference 1989: 205-214
  78. Rakesh Agrawal, Narain H. Gehani: ODE (Object Database and Environment): The Language and the Data Model. SIGMOD Conference 1989: 36-45
  79. Pratul Dublish, S. N. Maheshwari: Expressibility of Bounded-Arity Fixed-Point Query Hierarchies. PODS 1989: 324-335
  80. Stavros S. Cosmadakis: On the First-Order Expressibility of Recursive Queries. PODS 1989: 311-323
  81. Victor Vianu, Gottfried Vossen: Goal-Oriented Concurrency Control. MFDBS 1989: 398-414
  82. Joachim Biskup, Bernhard Convent: Towards a Schema Design Methodology for Deductive Databases. MFDBS 1989: 37-52
  83. Nikolaus Steger, Helmut Schmidt, Ulrich Güntzer, Werner Kießling: Semantics and Efficient Compilation for Quantitative Deductive Databases. ICDE 1989: 660-669
  84. Isabel F. Cruz, Theodore S. Norvell: Aggregative Closure: An Extension of Transitive Closure. ICDE 1989: 384-391
  85. Xiaolei Qian: On the Expressive Power of the Bounded Iteration Construct. DBPL 1989: 411-421
  86. Richard Hull, Jianwen Su: On Bulk Data type Constructors and Manipulation Primitives: A Framework for Analyzing Power and Complexity. DBPL 1989: 396-410
  87. Rakesh Agrawal, Narain H. Gehani: Rationale for the Design of Persistence and Query Processing Facilities in the Database Programming Language O++. DBPL 1989: 25-40
  88. Jiawei Han, Wenyu Lu: Asynchronous Chain Recursions. DASFAA 1989: 285-292
  89. Jeffrey D. Ullman: Principles of Database and Knowledge-Base Systems, Volume II. Computer Science Press 1989, ISBN 0-7167-8162-X
    Contents
  90. Michel de Rougemont: Fixed-point semantics and the representation of algorithms on large data. VLDB 1988: 264-272
  91. Raja Ramnarayan, Hongjun Lu: A Data/Knowledge Base Management Testbed and Experimental Results on Data/Knowledge Base Query and Update Processing. SIGMOD Conference 1988: 387-395
  92. Jeffrey F. Naughton: Compiling Separable Recursions. SIGMOD Conference 1988: 312-319
  93. Marc Gyssens, Dirk Van Gucht: The Powerset Algebra as a Result of Adding Programming Constructs to the Nested Relational Algebra. SIGMOD Conference 1988: 225-232
  94. Moshe Y. Vardi: Decidability and Undecidability Results for Boundedness of Linear Recursive Queries. PODS 1988: 341-351
  95. Seppo Sippu, Eljas Soisalon-Soininen: A Generalized Transitive Closure for Relational Queries. PODS 1988: 325-332
  96. Raghu Ramakrishnan, Catriel Beeri, Ravi Krishnamurthy: Optimizing Existential Datalog Queries. PODS 1988: 89-102
  97. Jan Paredaens, Dirk Van Gucht: Possibilities and Limitations of Using Flat Operators in Nested Algebra Expressions. PODS 1988: 29-38
  98. Phokion G. Kolaitis, Christos H. Papadimitriou: Why Not Negation by Fixpoint? PODS 1988: 231-239
  99. Richard Hull, Jianwen Su: On the Expressive Power of Database Queries with Intermediate Types. PODS 1988: 39-51
  100. Ashok K. Chandra: Theory of Database Queries. PODS 1988: 1-9
  101. Serge Abiteboul, Victor Vianu: Procedural and Declarative Database Update Languages. PODS 1988: 240-250
  102. Peter T. Wood, Alberto O. Mendelzon, Paolo Atzeni: Idempotent Single-Predicate Horn Clauses. ICDT 1988: 129-143
  103. Catriel Beeri: Data Models and Languages for Databases. ICDT 1988: 19-40
  104. Serge Abiteboul: Updates, A New Frontier. ICDT 1988: 1-18
  105. Seppo Sippu, Eljas Soisalon-Soininen: An Optimization Strategy for Recursive Queries in Logic Databases. ICDE 1988: 470-477
  106. Rakesh Agrawal, Premkumar T. Devanbu: Moving Selections into Linear Least Fixpoint Queries. ICDE 1988: 452-461
  107. Ravi Krishnamurthy, Carlo Zaniolo: Optimization in a Logic Based Language for Knowledge and Data Intensive Applications. EDBT 1988: 16-33
  108. Jiawei Han, Ghassan Z. Qadah, Chinying Chaou: The Processing and Evaluation of Transitive Closure Queries. EDBT 1988: 49-75
  109. Stefano Ceri, Stefano Crespi-Reghizzi, Georg Gottlob, F. Lamperti, Luigi Lavazza, Letizia Tanca, Roberto Zicari: The Algres Project. EDBT 1988: 551-555
  110. Malcolm P. Atkinson, Peter Buneman: Types and Persistence in Database Programming Languages. ACM Comput. Surv. 19(2): 105-190(1987)
  111. Kyu-Young Whang, Shamkant B. Navathe: An Extended Disjunctive Normal Form Approach for Optimizing Recursive Logic Queries in Loosely Coupled Environments. VLDB 1987: 275-287
  112. Kazimierz Subieta, Wiktor Rzeczkowski: Query Optimization by Stored Queries. VLDB 1987: 369-380
  113. Georges Gardarin: Magic Functions: A Technique to Optimize Extended Datalog Recursive Programs. VLDB 1987: 21-30
  114. Stefano Ceri, Letizia Tanca: Optimization of Systems of Algebraic Equations for Evaluating Datalog Queries. VLDB 1987: 31-41
  115. Isabel F. Cruz, Alberto O. Mendelzon, Peter T. Wood: A Graphical Query Language Supporting Recursion. SIGMOD Conference 1987: 323-330
  116. Jeffrey D. Ullman: Database Theory: Past and Future. PODS 1987: 1-10
  117. Jeffrey F. Naughton: One-Sided Recursions. PODS 1987: 340-348
  118. Gabriel M. Kuper: Logic Programming With Sets. PODS 1987: 11-20
  119. Dirk Van Gucht: On the Expressive Power of the Extended Relational Algebra for the Unnormalized Relational Model. PODS 1987: 302-312
  120. Gösta Grahne, Seppo Sippu, Eljas Soisalon-Soininen: Efficient Evaluation for a Subset of Recursive Queries. PODS 1987: 284-293
  121. Catriel Beeri, Paris C. Kanellakis, François Bancilhon, Raghu Ramakrishnan: Bounds on the Propagation of Selection into Logic Programs. PODS 1987: 214-226
  122. Serge Abiteboul, Victor Vianu: A Transcation Language Complete for Database Update and Specification. PODS 1987: 260-268
  123. Joachim Biskup, Uwe Räsch: The Equivalence Problem For Relational Database Schemes. MFDBS 1987: 42-70
  124. Hongjun Lu, Krishna P. Mikkilineni, James P. Richardson: Design and Evaluation of Algorithms to Compute the Transitive Closure of a Database Relation. ICDE 1987: 112-119
  125. Volker Linnemann: Non First Normal Form Relations and Recursive Queries: An SQL-Based Approach. ICDE 1987: 591-598
  126. Michael Kifer, Eliezer L. Lozinskii: Implementing Logic Programs as a Database System. ICDE 1987: 375-385
  127. Ulrich Güntzer, Werner Kießling, Rudolf Bayer: On the Evaluation of Recursion in (Deductive) Database Systems by Efficient Differential Fixpoint Iteration. ICDE 1987: 120-129
  128. Rakesh Agrawal: Alpha: An Extension of Relational Algebra to Express a Class of Recursive Queries. ICDE 1987: 580-590
  129. Ravi Krishnamurthy, Carlo Zaniolo: Control and Optimization Strategies in the Implementation of LDL. DBPL 1987: 329-345
  130. Sylvia L. Osborn, T. E. Heaven: The Design of a Relational Database System with Abstract Data Types for Domains. ACM Trans. Database Syst. 11(3): 357-373(1986)
  131. Yannis E. Ioannidis: On the Computation of the Transitive Closure of Relational Operators. VLDB 1986: 403-411
  132. Stefano Ceri, Georg Gottlob, Luigi Lavazza: Translation and Optimization of Logic Queries: The Algebraic Approach. VLDB 1986: 395-402
  133. Arnon Rosenthal, Sandra Heiler, Umeshwar Dayal, Frank Manola: Traversal Recursion: A Practical Approach to Supporting Recursive Applications. SIGMOD Conference 1986: 166-176
  134. Tomasz Imielinski: Query Processing in Deductive Databases with Incomplete Information. SIGMOD Conference 1986: 268-280
  135. Allen Van Gelder: A Message Passing Framework for Logical Query Evaluation. SIGMOD Conference 1986: 155-165
  136. Georges Gardarin, Christophe de Maindreville: Evaluation of Database Recursive Logic Programs as Recurrent Function Series. SIGMOD Conference 1986: 177-186
  137. François Bancilhon, Raghu Ramakrishnan: An Amateur's Introduction to Recursive Query Processing Strategies. SIGMOD Conference 1986: 16-52
  138. Moshe Y. Vardi: On the Integrity of Databases with Incomplete Information. PODS 1986: 252-266
  139. Jeffrey F. Naughton: Data Independent Recursion in Deductive Databases. PODS 1986: 267-279
  140. Stavros S. Cosmadakis, Paris C. Kanellakis: Parallel Evaluation of Recursive Rule Queries. PODS 1986: 280-293
  141. Domenico Saccà, Carlo Zaniolo: The Generalized Counting Method for Recursive Logic Queries. ICDT 1986: 31-53
  142. Michael Kifer, Eliezer L. Lozinskii: Filtering Data Flow in Deductive Databases. ICDT 1986: 186-202
  143. Paris C. Kanellakis: Logic Programming and Parallel Complexity. ICDT 1986: 1-30
  144. Haruo Yokota, Sko Sakai, Hidenori Itoh: Deductive Database System based on Unit Resolution. ICDE 1986: 228-235
  145. Motomichi Toyama: Parameterized View Definition and Recursive Relations. ICDE 1986: 707-712
  146. Volker Linnemann: Constructorset's Database Support for Knowledge Based Systems. ICDE 1986: 244-251
  147. Kazimierz Subieta, Marek Missala: Semantics of Query Languages for the Entity-Relationship Model. ER 1986: 197-216
  148. Jeffrey D. Ullman: Implementation of Logical Query Languages for Databases. ACM Trans. Database Syst. 10(3): 289-321(1985)
  149. Kazimierz Subieta: Semantics of Query Languages for Network Databases. ACM Trans. Database Syst. 10(3): 347-394(1985)
  150. Matthias Jarke, Yannis Vassiliou: A Framework for Choosing a Database Query Language. ACM Comput. Surv. 17(3): 313-340(1985)
  151. Carlo Zaniolo: The Representation and Deductive Retrieval of Complex Objects. VLDB 1985: 458-469
  152. Matthias Jarke, Volker Linnemann, Joachim W. Schmidt: Data Constructors: On the Integration of Rules and Relations. VLDB 1985: 227-240
  153. Sandra Heiler, Arnon Rosenthal: G-WHIZ, a Visual Interface for the Functional Model with Recursion. VLDB 1985: 209-218
  154. Timos K. Sellis, Leonard D. Shapiro: Optimization of Extended Database Query Languages. SIGMOD Conference 1985: 424-436
  155. Stavros S. Cosmadakis, Paris C. Kanellakis, Nicolas Spyratos: Partition Semantics for Relations. PODS 1985: 261-275
  156. Hervé Gallaire, Jack Minker, Jean-Marie Nicolas: Logic and Databases: A Deductive Approach. ACM Comput. Surv. 16(2): 153-185(1984)
  157. Arnon Rosenthal, Sandra Heiler, Frank Manola: An Example of Knowledge-Based Query Processing in a CAD/CAM DBMS. VLDB 1984: 363-370
  158. Haruo Yokota, Susumu Kunifuji, Takeo Kakuta, Nobuyoshi Miyazaki, Shigeki Shibayama, Kunio Murakami: An Enhanced Inference Mechanism for Generating Relational Algebra Queries. PODS 1984: 229-238
  159. Richard Hull: Relative Information Capacity of Simple Relational Database Schemata. PODS 1984: 97-109
  160. Marc H. Graham, Moshe Y. Vardi: On the Complexity and Axiomatizability of Consistent Database States. PODS 1984: 281-289
  161. Christine Parent, Stefano Spaccapietra: An Entity-Relationship Algebra. ICDE 1984: 500-507
  162. Illka Karasalo, Per Svensson: An Overview of Cantor - A New System for Data Analysis. SSDBM 1983: 315-324
  163. David Maier: The Theory of Relational Databases. Computer Science Press 1983, ISBN 0-914894-42-0
    Contents
  164. Richard Hull, Chee-Keng Yap: The Format Model: A Theory of Database Organization. PODS 1982: 205-211
  165. Ashok K. Chandra, David Harel: Horn Clauses and the Fixpoint Query Hierarchy. PODS 1982: 158-163
  166. Eric K. Clemons: Design of an External Schema Facility to Define and Process Recursive Structures. ACM Trans. Database Syst. 6(2): 295-311(1981)
  167. Hervé Gallaire: Impacts of Logic and Databases (Invited Paper). VLDB 1981: 248-259
  168. David Maier, David Scott Warren: Incorporating Computed Relations in Relational Databases. SIGMOD Conference 1981: 176-187
  169. Adrian Walker: On Retrieval from a Small Version of a Large Data Base. VLDB 1980: 47-54
  170. Jonathan E. Shopiro: Theseus - A Programming Language for Relational Databases. ACM Trans. Database Syst. 4(4): 493-517(1979)
  171. Alain Pirotte: Fundamental and Secondary Issues in the Design of Non-Procedural Relational Languages. VLDB 1979: 239-250
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