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Hypothetical Datalog: Complexity and Expressibility (1988)  (Make Corrections)  (7 citations)
Anthony J. Bonner Rutgers University Department of Computer Science New...
Theoretical Computer Science



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Abstract: We present an extension of Horn-clause logic which can hypothetically add and delete tuples from a database. Such logics have been discussed in the literature, but their complexities and expressibilities have remained an open question. This paper examines two such logics in the function-free, predicate case. It is shown, in particular, that augmenting Horn-clause logic with hypothetical addition increases its data-complexity from PTIME to PSPACE. When deletions are added as well, complexity... (Update)

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.... by disallowing embedded universal quantifiers, we have a language that expresses exactly the database 2 EXAMPLES 18 queries in PSPACE [6]. Additional syntactic restrictions give us a family of languages that can express the database queries at each level of the polynomial...

.... is data complete for PSPACE in the function free predicate case (data complete for EXPTIME when hypothetical deletions are allowed) [4]. This paper extends this line of research by developing syntactic restrictions whose data complexity is less that PSPACE. Central to...

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10:   Prolog: an extension of Prolog with hypothetical implications (context) - Gabbay - 1985
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BibTeX entry:   (Update)

A.J. Bonner. Hypothetical Datalog: Complexity and Expressibility. In Proceedings of the International Conference on Database Theory (ICDT), pages 144--160. Springer-Verlag, 1988. Published as volume 326 of Lecture Notes in Computer Science. http://citeseer.ist.psu.edu/bonner88hypothetical.html   More

@article{ bonner90hypothetical,
    author = "Anthony J. Bonner",
    title = "Hypothetical Datalog: Complexity and Expressibility",
    journal = "Theoretical Computer Science",
    volume = "76",
    number = "1",
    pages = "3-51",
    year = "1990",
    url = "citeseer.ist.psu.edu/bonner88hypothetical.html" }
Citations (may not include all citations):
1911   Introduction to Automata Theory (context) - Hopcroft, Ullman - 1979
435   Towards a Theory of Declarative Knowledge (context) - Apt, Blair et al. - 1988
379   The Complexity of Relational Query Languages (context) - Vardi - 1982
248   The Semantics of Predicate Logic as a Programming Language (context) - Van Emden, Kowalski - 1976
245   Relational Queries Computable in Polynomial Time - Immerman - 1982
198   Structure and Complexity of Relational Queries - Chandra, Harel - 1980
189   Computable Queries for Relational Databases - Chandra, Harel - 1980
182   Logic for Problem Solving (context) - Kowalski - 1979
149   A Logical Analysis of Modules in Logic Programming (context) - Miller - 1986
144   Contributions to the Theory of Logic Programming (context) - Apt, Van Emden - 1982
130   The Computational Complexity of Provability in Systems of Pr.. (context) - Ladner - 1977
124   Journal of the ACM (context) - Chandra, Kozen et al. - 1981
82   Prolog: an Extension of Prolog with Hypothetical Implication.. (context) - Gabbay, Reyle - 1984
82   Prolog: an Extension of Prolog with Hypothetical Implication.. (context) - Gabbay - 1985
59   A Logic-based Language for Database Updates (context) - Manchanda, Warren - 1988
55   Clausal Intuitionistic Logic (context) - McCarty - 1988
55   Clausal Intuitionistic Logic (context) - McCarty - 1988
25   Intuitionistic Propositional Logic is Polynomial-Space Compl.. (context) - Statman - 1979
18   Database Updates in Pure Prolog (context) - Warren - 1984
16   A Transaction Language Complete for Database Update Specific.. (context) - Abiteboul, Vianu - 1987
12   A Logic for Hypothetical Reasoning - Bonner - 1988
8   Horn Clauses and the Fixpoint Query Hierarchy (context) - Chandra, Harel - 1982



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Hypothetical Datalog: Complexity and Expressibility - Bonner (1988)   (Correct)

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