A Shallow Embedding of Datalog in Lean

Abstract

Datalog is a lightweight logic programming language, based on the logic of Horn clauses. Lean, on the other hand, is a proof assistant system and language based on the Calculus of Inductive Constructions (CIC). Datalog is more constrained and less expressive than Lean but has a long history of established deduction algorithms. Writing definitions and queries in the Datalog fragment of Lean would be more succinct and understandable than writing them in Lean itself.