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Handling Environments in a Nested Relational Algebra with Combinators and an Implementation in a Verified Query Compiler

Authors:

Joshua S. Auerbach,

Avraham Shinnar,

Jérôme SiméonAuthors Info & Claims

SIGMOD '17: Proceedings of the 2017 ACM International Conference on Management of Data

Pages 1555 - 1569

https://doi.org/10.1145/3035918.3035961

Published: 09 May 2017 Publication History

Abstract

Algebras based on combinators, i.e., variable-free, have been proposed as a better representation for query compilation and optimization. A key benefit of combinators is that they avoid the need to handle variable shadowing or accidental capture during rewrites. This simplifies both the optimizer specification and its correctness analysis, but the environment from the source language has to be reified as records, which can lead to more complex query plans.

This paper proposes NRA^e, an extension of a combinators-based nested relational algebra (NRA) with built-in support for environments. We show that it can naturally encode an equivalent NRA with lambda terms and that all optimizations on NRA carry over to NRA^e. This extension provides an elegant way to represent views in query plans, and can radically simplify compilation and optimization for source languages with rich environment manipulations.

We have specified a query compiler using the Coq proof assistant with NRA^e at its heart. Most of the compiler, including the query optimizer, is accompanied by a (machine-checked) correctness proof. The implementation is automatically extracted from the specification, resulting in a query compiler with a verified core.

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Cited By

Benzaken VContejean ÉHachmaoui MKeller CMandel LShinnar ASiméon J(2022)Translating canonical SQL to imperative code in CoqProceedings of the ACM on Programming Languages10.1145/35273276:OOPSLA1(1-27)Online publication date: 29-Apr-2022
https://dl.acm.org/doi/10.1145/3527327
Benzaken VCohen-Boulakia SContejean ÉKeller CZucchini RHriţcu CPopescu A(2021)A Coq formalization of data provenanceProceedings of the 10th ACM SIGPLAN International Conference on Certified Programs and Proofs10.1145/3437992.3439920(152-162)Online publication date: 17-Jan-2021
https://dl.acm.org/doi/10.1145/3437992.3439920
Spasić MJaničić M(2020)Verification supported refactoring of embedded sqlSoftware Quality Journal10.1007/s11219-020-09517-y29:3(629-665)Online publication date: 18-Jun-2020
https://dl.acm.org/doi/10.1007/s11219-020-09517-y
Show More Cited By

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Handling Environments in a Nested Relational Algebra with Combinators and an Implementation in a Verified Query Compiler

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cover image ACM Conferences

SIGMOD '17: Proceedings of the 2017 ACM International Conference on Management of Data

May 2017

1810 pages

ISBN:9781450341974

DOI:10.1145/3035918

General Chairs:
Rada Chirkova
North Carolina State University, USA
,
Jun Yang
Duke University, USA
,
Program Chair:
Dan Suciu
University of Washington, USA

Copyright © 2017 ACM.

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Published: 09 May 2017

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SIGMOD/PODS'17: International Conference on Management of Data

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Cited By

Benzaken VContejean ÉHachmaoui MKeller CMandel LShinnar ASiméon J(2022)Translating canonical SQL to imperative code in CoqProceedings of the ACM on Programming Languages10.1145/35273276:OOPSLA1(1-27)Online publication date: 29-Apr-2022
https://dl.acm.org/doi/10.1145/3527327
Benzaken VCohen-Boulakia SContejean ÉKeller CZucchini RHriţcu CPopescu A(2021)A Coq formalization of data provenanceProceedings of the 10th ACM SIGPLAN International Conference on Certified Programs and Proofs10.1145/3437992.3439920(152-162)Online publication date: 17-Jan-2021
https://dl.acm.org/doi/10.1145/3437992.3439920
Spasić MJaničić M(2020)Verification supported refactoring of embedded sqlSoftware Quality Journal10.1007/s11219-020-09517-y29:3(629-665)Online publication date: 18-Jun-2020
https://dl.acm.org/doi/10.1007/s11219-020-09517-y
Benzaken VContejean ÉMahboubi AMyreen M(2019)A Coq mechanised formal semantics for realistic SQL queries: formally reconciling SQL and bag relational algebraProceedings of the 8th ACM SIGPLAN International Conference on Certified Programs and Proofs10.1145/3293880.3294107(249-261)Online publication date: 14-Jan-2019
https://dl.acm.org/doi/10.1145/3293880.3294107
Chu SMurphy BRoesch JCheung ASuciu D(2018)Axiomatic foundations and algorithms for deciding semantic equivalences of SQL queriesProceedings of the VLDB Endowment10.14778/3236187.323620011:11(1482-1495)Online publication date: 1-Jul-2018
https://dl.acm.org/doi/10.14778/3236187.3236200
BONIFATI ADUMBRAVA SARIAS E(2018)Certified Graph View Maintenance with Regular DatalogTheory and Practice of Logic Programming10.1017/S147106841800022418:3-4(372-389)Online publication date: 10-Aug-2018
https://doi.org/10.1017/S1471068418000224
Benzaken VContejean ÉKeller CMartins E(2018)A Coq Formalisation of SQL’s Execution EnginesInteractive Theorem Proving10.1007/978-3-319-94821-8_6(88-107)Online publication date: 4-Jul-2018
https://doi.org/10.1007/978-3-319-94821-8_6
Auerbach JHirzel MMandel LShinnar ASiméon JChirkova RYang JSuciu D(2017)Q*certProceedings of the 2017 ACM International Conference on Management of Data10.1145/3035918.3056447(1703-1706)Online publication date: 9-May-2017
https://dl.acm.org/doi/10.1145/3035918.3056447

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