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Fine-Grained Complexity, Logic, and Query Evaluation 2023

database researchers, algorithms researchers, distributed systems researchers, theoretical computer scientists, query engine engineers, Datalog researchers, data engineers

conjunctive query enumeration; free-connex acyclic queries; triangle hardness reductions; relational linear regression; sum-product queries and variable elimination; MPC joins and load bounds; round-vs-load MPC tradeoffs; incremental view maintenance beyond worst-case; equality saturation for program optimization; algebraic Datalog evaluation with semirings; sparse-recovery for graph distances

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Accessing Answers to Unions of Conjunctive Queries with Ideal Time Guarantees: INofar Carmeli01h 09m
Defines when answer enumeration achieves linear preprocessing and constant delay for conjunctive queries: acyclic, no-self-join queries admit a two-pass…
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Accessing Answers to Unions of Conjunctive Queries with Ideal Time Guarantees: IINofar Carmeli19m
Acyclic conjunctive queries that are free-connex admit linear preprocessing and constant-delay enumeration, while acyclic but not free-connex queries are hard…
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Fine Grained ComplexityAndrea Lincoln54m
Motivation and concrete claims: 3SUM conjecture states 3SUM requires n^2−o(1) on n integers, orthogonal vectors resists n2−o(1) algorithms for d≈log^2 n, and…
Talk
Introduction to Relational AlgorithmsMahmoud Abo Khamis01h 05m
Defines relational linear regression that computes the covariance matrix Σ, vector c and scalar s directly from input tables S, P, C without materializing the…
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Intermediate Relational Algorithm DesignKirk Pruhs44m
Relational-algorithms assume inputs stay in relational form and claim most useful operations reduce to sum-product queries; the talk shows concrete reductions…
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Massively Parallel Evaluation of Relational Queries IXiao Hu, Paris Koutris47m
Massively parallel relational evaluation uses the BSP/MPC model with p servers, r rounds and maximum load L; concrete one‑round algorithms use randomized…
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Massively Parallel Evaluation of Relational Queries IIXiao Hu, Paris Koutris39m
Shows a precise round-vs-load tradeoff: for path queries diameter k the load falls from N/p^{1/4} with one round toward N/p as rounds increase, and achieving…
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Distributed Graph Techniques in the MPC ModelQuanquan C. Liu46m
Defines an MPC graph model with M machines, space per machine S, and measures rounds and total near‑linear space, then shows two concrete techniques. Round…
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Optimizing Relational Programs IRemy Wang41m
Tool builds a compact tree automaton that encodes many equivalent programs by merging states for equal subexpressions, grows it by applying rewrite rules until…
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Optimizing Relational Programs IIRemy Wang36m
Proposes concrete methods to evaluate recursive Datalog by mapping relations to vectors/matrices over closed semirings and computing fixpoints with algebraic…
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Fine-Grained Complexity and Algorithm Design for Graph Reachability and Distance ProblemsKarl Bringmann52m
Graphs reachability and shortest-paths reduce to specific matrix products: transitive closure is equivalent to Boolean matrix multiplication and APSP to…
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Incremental View Maintenance: Beyond Worst-Case Analysis IXiao Hu38m
Focuses on achieving constant-delay enumeration for conjunctive queries by replacing join materialization with layered semi-joins and projections, storing…
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Incremental View Maintenance: Beyond Worst-Case Analysis IIXiao Hu26m
Defines a join-tree-based enclosureness that measures effective lifespans in a generalized join tree and claims any free-connex conjunctive query can be…
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