arugula

This is a small C++ lattice library using expression templates. The basic template of a lattice is Lattice<T, Func> where T is some C++ type, and Func is a functor to do the lattice join (i.e. merge) operation, which is represented as operator+() (or operator+=).

Given this structure, most of the logic is in the merge functors in include/merges.

A simple example

For example, the code below builds two lattices lefts and rights. Each has the C++ type is Lattice<std::set<int>, Union, or in mathematical terms a join semi-lattice (P(Z), U).

  std::set<int> lefts({1, 20, 30});
  std::set<int> rights({1, 2, 3});

  Lattice ls(lefts, Union{});
  Lattice rs(rights, Union{});

  Lattice<std::set<int>, Union> expr = ls + rs;

Lattice composition

The test/smoke directory shows many more examples of how to build lattices using standard C++ types and the merge functors. Among the more interesting examples are lattices composed of other lattices, e.g. in include/merges/vector_clock_mrg.h:

using VectorClock = Lattice<std::map<std::string, Lattice<unsigned, Max> >, MapUnion>;

A VectorClock is a Lattice based on a map data structure, where the key is a std::string, and the value is a nested lattice (of unsigned under Max). The merge function for map lattices recursively merges the values using the type of the nested lattice.

You can of course compose the VectorClock lattice into a superlattice, e.g. for causality tracking as shown in the test directory.