
Worst-Case Optimal Join Algorithms: Techniques, Results and Open Problems
Worst-case optimal join algorithms are the class of join algorithms whose runtime match the worst-case output size of a given join query. While the first provably worst-case optimal join algorithm was discovered relatively recently, the techniques and results surrounding these algorithms grow out of decades of research from a wide range of areas, intimately connecting graph theory, algorithms, information theory, constraint satisfaction, database theory, and geometric inequalities.

What Do Shannon-type Inequalities, Submodular Width, and Disjunctive Datalog Have to Do with One Another?
Recent works on bounding the output size of a conjunctive query with functional dependencies and degree bounds have shown a deep connection between fundamental questions in information theory and database theory. This paper connects semantic query optimization, physical query optimization & cost estimation, to information theory with provable bounds.

Comprehensive Survey of Recursive Query Processing and Optimization Techniques using Datalog
In recent years, we have witnessed a revival of the use of recursive queries in a variety of emerging application domains such as data integration and exchange, information extraction, networking, and program analysis. A popular language used for expressing these queries is Datalog.

Functional Aggregate Query (FAQ): Questions Asked Frequently
We define and study the Functional Aggregate Query (FAQ) problem, which encompasses many frequently asked questions in constraint satisfaction, databases, matrix operations, probabilistic graphical models and logic. This is our main conceptual contribution.

Design and Implementation of the LogicBlox System
The LogicBlox system aims to reduce the complexity of software development for modern applications which enhance and automate decision-making and enable their users to evolve their capabilities via a “self-service” model.

Join Processing for Graph Patterns: An Old Dog with New Tricks
Join optimization has been dominated by Selinger-style, pairwise optimizers for decades. But, Selinger-style algorithms are asymptotically suboptimal for applications in graphic analytics. This suboptimality is one of the reasons that many have advocated supplementing relational engines with specialized graph processing engines.