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Synthesizing Nested Relational Queries from Implicit Specifications

Michael Benedikt Orcid Logo, Cécilia Pradic Orcid Logo, Christoph Wernhard Orcid Logo

Proceedings of the 42nd ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems

Swansea University Author: Cécilia Pradic Orcid Logo

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DOI (Published version): 10.1145/3584372.3588653

Abstract

Derived datasets can be defined implicitly or explicitly. An implicit definition (of dataset in terms of datasets ) is a logical specification involving the source data and the interface data . It is a valid definition of in terms of , if any two models of the specification agreeing on agree on . In...

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Published in: Proceedings of the 42nd ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems
ISBN: 979-8-4007-0127-6
Published: New York, NY, USA ACM 2023
Online Access: http://dx.doi.org/10.1145/3584372.3588653
URI: https://cronfa.swan.ac.uk/Record/cronfa61306
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Abstract: Derived datasets can be defined implicitly or explicitly. An implicit definition (of dataset in terms of datasets ) is a logical specification involving the source data and the interface data . It is a valid definition of in terms of , if any two models of the specification agreeing on agree on . In contrast, an explicit definition is a query that produces from . Variants of Beth’s theorem state that one can convert implicit definitions to explicit ones.Further, this conversion can be done effectively given a proof witnessing implicit definability in a suitable proof system. We prove the analogous effective implicit-to-explicit result for nested relations: implicit definitions, given in the natural logic for nested relations,can be effectively converted to explicit definitions in the nested relational calculus (NRC). As a consequence, we can effectively extract rewritings of NRC queries in terms of NRC views, given aproof witnessing that the query is determined by the views.
College: Faculty of Science and Engineering
Funders: This work was funded by EPSRC grant EP/T022124/1 and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)– Project-ID 457292495.