Logic programming in Rust

Ascent is a logic programming language (similar to Datalog) embedded in Rust via macros.

For more information, check out the CC paper on Ascent.

Examples

Computing all the connected nodes in a graph

ascent!{
   relation edge(i32, i32);
   relation path(i32, i32);
   
   path(x, y) <-- edge(x, y);
   path(x, z) <-- edge(x, y), path(y, z);
}

Using Ascent

1. Install Rust.
2. Make a new Rust project:

   cargo new my-ascent-project
   
   cd my-ascent-project
   
   

3. Add ascent as a dependency in Cargo.toml:

   [dependencies]
   
   ascent = "0.2"
   
   # or:
   
   # ascent = {git = "https://github.com/s-arash/ascent"} 
   
   

4. Write some Ascent code in main.rs. Here is a complete example:

   use ascent::ascent;
   ascent!{
      relation edge(i32, i32);
      relation path(i32, i32);
      
      path(x, y) <-- edge(x, y);
      path(x, z) <-- edge(x, y), path(y, z);
   }
   
   fn main() {
      let mut prog = AscentProgram::default();
      prog.edge = vec![(1, 2), (2, 3)];
      prog.run();
      println!("path: {:?}", prog.path);
   }
   

5. Run the program:

   cargo run
   
   

Features

Lattices

Ascent supports computing fixed points of user-defined lattices. The lattice keyword defines a lattice in Ascent. The type of the final column of a lattice must implement the Lattice trait. A lattice is like a relation, except that when a new lattice fact (v1, v2, ..., v(n-1), vn) is discovered, and a fact (v1, v2, ..., v(n-1), v'n) is already present in the database, vn and v'n are joined together to produce a single fact.

This feature enables writing programs not expressible in Datalog. For example we can use this feature to compute the lengths of shortest paths between nodes in a graph.

ascent!{
   lattice shortest_path(i32, i32, Dual<u32>);
   relation edge(i32, i32, u32);

   shortest_path(x, y, Dual(*w)) <-- edge(x, y, w);

   shortest_path(x, z, Dual(w + l)) <-- 
      edge(x, y, w), 
      shortest_path(y, z, ?Dual(l));
}

In this example, Dual<T> is the dual of the lattice T. We use Dual<T> because we are interested in shortest paths, given two path lengths l1 and l2 for any given pair of nodes, we only store min(l1, l2).

Conditions and Generative clauses

The syntax is designed to be familiar to Rust users. In this example, edge is populated with non-reflexive edges from node. Note that any type that implements Clone + Eq + Hash can be used as a relation column.

ascent!{
   relation node(i32, Rc<Vec<i32>>);
   relation edge(i32, i32);
   
   edge(x, y) <--
      node(x, neighbors),
      for &y in neighbors.iter(),
      if x != y;
}

Negation and Aggregation

Ascent supports stratified negation and aggregation. Aggregators are defined in ascent::aggregators. You can find sum, min, max, count, and mean there.

In the following example, the average grade of students is stored in avg_grade:

use ascent::aggregators::*;
type Student = u32;
type Course = u32;
type Grade = u16;
ascent!{
   relation student(Student);
   relation course_grade(Student, Course, Grade);
   relation avg_grade(Student, Grade);

   avg_grade(s, avg as Grade) <--
      student(s),
      agg avg = mean(g) in course_grade(s, _, g);
}

You can define your own aggregators if the provided aggregators are not sufficient. For example, an aggregator for getting the 2nd highest value of a column can have the following signature:

fn second_highest<'a, N: 'a>(inp: impl Iterator<Item = (&'a N,)>) -> impl Iterator<Item = N>
   where N: Ord + Clone

Aggregators can even be parameterized! For an example of a parameterized aggregator, lookup the definition of percentile in ascent::aggregators.

ascent_run!

In addition to ascent!, we provide the ascent_run! macro. Unlike ascent!, this macro evaluates the ascent program when invoked. The main advantage of ascent_run! is that local variables are in scope inside the Ascent program. For example, we can define a function for discovering the (optionally reflexive) transitive closure of a relation like so:

fn tc(r: Vec<(i32, i32)>, reflexive: bool) -> Vec<(i32, i32)> {
   ascent_run!{
      relation r(i32, i32) = r;
      relation tc(i32, i32);
      tc(x, y) <-- r(x, y);
      tc(x, z) <-- r(x, y), tc(y, z);
      tc(x, x), tc(y, y) <-- if reflexive, r(x, y);
   }.tc
}

In the above example, we initialize the relation r directly to shorten the program.