Take your AI Capabilities beyond simple reasoning

A principled way to transform data


The Categorical Query Language (CQL):

Conexus offers support for open-source CQL, support for data integration projects using CQL, and sells a proprietary extension of CQL that scales the open-source version along three dimensions:

  • Visualization and programmer productivity

  • Data size beyond a single in-memory node

  • Artificial intelligence capabilities beyond simple equational reasoning

Please contact us for more information.

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Value Creation

Reduce risk of failure through artificial intelligence.

CQL contains an embedded automated theorem prover that guarantees the correctness of CQL programs. For example, a CQL program cannot materialize an instance that violates a data integrity constraint. Such errors are detected at compile time, when they are easiest to fix.

Preserve data quality.

High-quality data is expensive to obtain, so it is important to preserve that quality throughout the data life-cycle. CQL programs evolve and migrate data in a mathematically universal way, with zero degradation. As such, data integrated by CQL has many advantages, including perfect provenance: every row in the output of an CQL program contains a lineage that describes exactly how that row was obtained from input data.

Increased developer productivity through higher-level abstractions.

CQL generalizes concepts from SQL using powerful principles from category theory. For example, CQL generalizes SQL's select-from-where queries from returning single tables to returning many tables related by foreign keys. Such higher-level abstractions enable developers to be more productive.



Features Overview


Feature 1

Flexible I/O: data can be imported into and exported out of CQL by JDBC-SQL, CSV, and more.


Feature 2

Stateless. CQL is not a database management system: it neither stores nor updates data. It is a canonical functional programming language and IDE whose scalability is similar to that of SQL and chase engines.


Feature 3


CQL schemasdatabases, etc. can be displayed graphically.


Feature 4

Computational schemas: user-defined functions are part of CQL schemas and can be specified using java, javascript, or purely equationally. CQL's theorem prover can reason about user-defined functions and how they relate to data integrity constraints.


Feature 5

100% java. User-defined functions can be written in java or javascript, and a deep embedding of CQL into Haskell, in collaboration with Statebox, is under development.


Feature 6

Rich data integrity constraints: CQL schemas contain entities, attributes, and foreign keys - as well as equations between them. One use of equations is for denormalization without the need to manually enforce the consistency of redundant data.


Feature 7

More principled than SQL: relational concepts such as foreign keys re-appear, in a more principled form, in CQL. And CQL provides primitives that SQL lacks.

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Enterprise Scale

Smooth upgrade path from the open-source version of CQL.


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