diff --git a/.buildkite/jobscript.sh b/.buildkite/jobscript.sh
new file mode 100755
index 0000000..d27f4ec
--- /dev/null
+++ b/.buildkite/jobscript.sh
@@ -0,0 +1,11 @@
+#!/bin/bash
+
+pwd; hostname; date
+
+module load julia
+
+echo "Running Tests..."
+julia --project -e 'using Pkg; Pkg.status(); Pkg.test()'
+
+echo "Building Documentation..."
+julia -t 16 --project=docs -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.status(); Pkg.instantiate(); include("docs/make.jl")'
diff --git a/.buildkite/pipeline.yml b/.buildkite/pipeline.yml
new file mode 100644
index 0000000..4db484f
--- /dev/null
+++ b/.buildkite/pipeline.yml
@@ -0,0 +1,20 @@
+env:
+  JULIA_VERSION: "1.10.2"
+
+steps:
+
+  - label: ":hammer: Build Project"
+    command: 
+      - "module load julia"
+      - "julia --project=docs --color=yes -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.instantiate(); Pkg.precompile()'"
+         
+  - wait 
+
+  - label: ":scroll: Build docs and run tests"
+    command:
+      - "srun --cpus-per-task=16 --mem=8G --time=1:00:00 --output=.buildkite/build_%j.log --unbuffered .buildkite/jobscript.sh"
+    env:
+      JULIA_PROJECT: "docs/"
+
+  - wait
+
diff --git a/Project.toml b/Project.toml
index 4fd07ba..b90934d 100644
--- a/Project.toml
+++ b/Project.toml
@@ -32,7 +32,7 @@ NautyACSetsExt = "nauty_jll"
 XLSXACSetsExt = "XLSX"
 
 [compat]
-AlgebraicInterfaces = "0.1"
+AlgebraicInterfaces = "0.1.3"
 Base64 = "1.9"
 CompTime = "0.1"
 DataStructures = "0.18"
diff --git a/src/DenseACSets.jl b/src/DenseACSets.jl
index fcd40a1..340a7fb 100644
--- a/src/DenseACSets.jl
+++ b/src/DenseACSets.jl
@@ -401,7 +401,7 @@ function ACSetTableSchema(s::Schema{Symbol}, ob::Symbol)
   attrs = filter(Schemas.attrs(s)) do (f,d,c)
     d == ob
   end
-  BasicSchema{Symbol}([ob], [], attrtypes(s), attrs)
+  BasicSchema{Symbol}([ob], [], attrtypes(s), attrs, [])
 end
 
 function ACSetTableDataType(::Type{<:StructACSet{S,Ts}}, ob::Symbol) where {S,Ts}
diff --git a/src/Schemas.jl b/src/Schemas.jl
index d5ade8c..6fbc15f 100644
--- a/src/Schemas.jl
+++ b/src/Schemas.jl
@@ -3,10 +3,10 @@ module Schemas
 export Schema, TypeLevelSchema, BasicSchema, TypeLevelBasicSchema, typelevel,
   objects, attrtypes, attrtype_instantiation, homs, attrs, arrows, dom, codom,
   ob, hom, attrtype, attr, dom_nums, codom_nums, adom_nums, acodom_nums, types,
-  TypedSchema
+  TypedSchema, equations
 
 using StructEquality
-import AlgebraicInterfaces: dom, codom, ob, hom, attr, attrtype
+import AlgebraicInterfaces: dom, codom, ob, hom, attr, attrtype, equations
 
 # Schemas
 #########
@@ -112,44 +112,55 @@ function codom end
 # Basic Schemas
 ###############
 
-abstract type TypeLevelBasicSchema{Name, obs, homs, attrtypes, attrs} <: TypeLevelSchema{Name} end
+abstract type TypeLevelBasicSchema{Name, obs, homs, attrtypes, attrs, eqs} <: TypeLevelSchema{Name} end
 
-const TypeLevelBasicCSetSchema{Name, obs, homs} = TypeLevelBasicSchema{Name, obs, homs, Tuple{}, Tuple{}}
+const TypeLevelBasicCSetSchema{Name, obs, homs} = TypeLevelBasicSchema{Name, obs, homs, Tuple{}, Tuple{}, Tuple{}}
+
+# A path has sequence of hom/attr names
+const Pth{Name}= Tuple{Vararg{Name}}
+
+# An Eq has an optional name, a dom, a codom, and pair of paths
+const Eq{Name} = Tuple{Union{Nothing, Name}, Name, Name, Tuple{Pth{Name},Pth{Name}}}
 
 @struct_hash_equal struct BasicSchema{Name} <: Schema{Name}
   obs::Vector{Name}
   homs::Vector{Tuple{Name,Name,Name}}
   attrtypes::Vector{Name}
   attrs::Vector{Tuple{Name,Name,Name}}
-  function BasicSchema{Name}(obs, homs, attrtypes, attrs) where {Name}
-    new{Name}(obs, homs, attrtypes, attrs)
+  eqs::Vector{Eq{Name}}
+  function BasicSchema{Name}(obs, homs, attrtypes, attrs, eqs) where {Name}
+    new{Name}(obs, homs, attrtypes, attrs, eqs)
   end
-  function BasicSchema(obs::Vector{Name}, homs, attrtypes, attrs) where {Name}
-    new{Name}(obs, homs, attrtypes, attrs)
+  function BasicSchema(obs::Vector{Name}, homs, attrtypes, attrs, eqs=nothing) where {Name}
+    eqs = isnothing(eqs) ? Eq{Name}[] : eqs
+    new{Name}(obs, homs, attrtypes, attrs, eqs)
   end
-  function BasicSchema(obs::Vector{Name}, homs) where {Name}
-    new{Name}(obs, homs, Name[], Tuple{Name,Name,Name}[])
+  function BasicSchema(obs::Vector{Name}, homs, eqs=nothing) where {Name}
+    eqs = isnothing(eqs) ? Eq{Name}[] : eqs
+    new{Name}(obs, homs, Name[], Tuple{Name,Name,Name}[], eqs)
   end
   function BasicSchema{Name}() where {Name}
     new(
       Vector{Name}(),
       Vector{Tuple{Name,Name,Name}}(),
       Vector{Name}(),
-      Vector{Tuple{Name,Name,Name}}()
+      Vector{Tuple{Name,Name,Name}}(),
+      Vector{Eq{Name}}()
     )
   end
 end
 
 function Base.copy(s::BasicSchema{Name}) where {Name}
-  BasicSchema{Name}(copy(s.obs), copy(s.homs), copy(s.attrtypes), copy(s.attrs))
+  BasicSchema{Name}(copy(s.obs), copy(s.homs), copy(s.attrtypes), copy(s.attrs), copy(s.eqs))
 end
 
-function Schema(::Type{TypeLevelBasicSchema{Name, obs, homs, attrtypes, attrs}}) where {Name, obs, homs, attrtypes, attrs}
+function Schema(::Type{TypeLevelBasicSchema{Name, obs, homs, attrtypes, attrs, eqs}}) where {Name, obs, homs, attrtypes, attrs, eqs}
   BasicSchema{Name}(
     [obs.parameters...],
     [homs.parameters...],
     [attrtypes.parameters...],
-    [attrs.parameters...]
+    [attrs.parameters...],
+    [eqs.parameters...]
   )
 end
 
@@ -165,6 +176,9 @@ attrtypes(S::Type{<:TypeLevelBasicSchema}) = Tuple(S.parameters[4].parameters)
 
 types(S::Union{Schema,Type{<:TypeLevelSchema}}) = [objects(S)..., attrtypes(S)...]
 
+equations(S::BasicSchema) = S.eqs
+equations(S::Type{<:TypeLevelBasicSchema}) = Tuple(S.parameters[6].parameters)
+
 attrtype_instantiation(S::Type{<:TypeLevelBasicSchema}, Ts, a::Symbol) =
   Ts.parameters[findfirst(attrtypes(S) .== a)]
 
@@ -247,7 +261,8 @@ function typelevel(s::BasicSchema{Name}) where {Name}
     Tuple{s.obs...},
     Tuple{s.homs...},
     Tuple{s.attrtypes...},
-    Tuple{s.attrs...}
+    Tuple{s.attrs...},
+    Tuple{s.eqs...}
   }
 end
 
diff --git a/src/serialization/JSONACSets.jl b/src/serialization/JSONACSets.jl
index 5d8abe0..df98318 100644
--- a/src/serialization/JSONACSets.jl
+++ b/src/serialization/JSONACSets.jl
@@ -133,6 +133,12 @@ function generate_json_acset_schema(schema::Schema)
     "Attr" => map(attrs(schema)) do (f, x, y)
       Dict("name" => string(f), "dom" => string(x), "codom" => string(y))
     end,
+    "equations" => map(equations(schema)) do (n, x, y, eqs)
+      Dict("dom" => string(x), "codom" => string(y), 
+           "name" => isnothing(n) ? n : string(n),
+           "paths" => [string.(eq) for eq in collect.(eqs)], )
+    end,
+
   )
 end
 
@@ -152,7 +158,13 @@ function parse_json_acset_schema(::Type{BasicSchema}, data::AbstractDict)
   attrs = map(data["Attr"]) do d
     map(Symbol, (d["name"], d["dom"], d["codom"]))
   end
-  BasicSchema(obs, homs, attrtypes, attrs)
+  eqs = map(data[:equations]) do d 
+    name = isnothing(d["name"]) ? nothing : Symbol(d["name"])
+    (name, Symbol(d["dom"]), Symbol(d["codom"]), tuple(map(d["paths"]) do p
+      tuple(Symbol.(p)...)
+    end...))
+  end
+  BasicSchema(obs, homs, attrtypes, attrs, eqs)
 end
 
 function parse_json_acset_schema(T, input::AbstractString)
diff --git a/test/Schemas.jl b/test/Schemas.jl
index ca9e076..de3807c 100644
--- a/test/Schemas.jl
+++ b/test/Schemas.jl
@@ -3,7 +3,10 @@ module TestSchemas
 using Test
 using ACSets.Schemas
 
-bsch = BasicSchema([:E,:V], [(:src,:E,:V),(:tgt,:E,:V)],[:Weight],[(:weight,:E,:Weight)])
+@test BasicSchema{Symbol}() isa BasicSchema
+
+bsch = BasicSchema([:E,:V], [(:src,:E,:V),(:tgt,:E,:V)],[:Weight],
+                   [(:weight,:E,:Weight)], [(nothing, :E,:V,((:src,),(:tgt,)))])
 tsch = typelevel(bsch)
 for sch in [bsch, tsch]
   @test collect(ob(sch)) == collect(objects(sch)) == [:E,:V]
@@ -19,6 +22,7 @@ for sch in [bsch, tsch]
   @test codom_nums(sch) == (2,2)
   @test adom_nums(sch) == (1,)
   @test acodom_nums(sch) == (1,)
+  @test collect(equations(sch)) == [(nothing, :E,:V,((:src,),(:tgt,)),)]
 end
 
 @test attrtype_instantiation(tsch, Tuple{Int}, :Weight) == Int
diff --git a/test/serialization/JSONACSets.jl b/test/serialization/JSONACSets.jl
index 0e66200..57991b1 100644
--- a/test/serialization/JSONACSets.jl
+++ b/test/serialization/JSONACSets.jl
@@ -42,10 +42,11 @@ add_parts!(g, :V, 3)
 add_parts!(g, :E, 2, src=[1,2], tgt=[2,3], weight=[0.5,1.5])
 @test roundtrip_json_acset(g) == g
 
-SchLabeledDDS = BasicSchema([:X], [(:Φ,:X,:X)], [:Label], [(:label,:X,:Label)])
-@acset_type LabeledDDS(SchLabeledDDS, index=[:Φ])
+SchLabeledDDS4 = BasicSchema([:X], [(:Φ,:X,:X)], [:Label], [(:label,:X,:Label)], 
+                             [(:cycle4,:X,:X,((),(:Φ,:Φ,:Φ,:Φ)))])
+@acset_type LabeledDDS4(SchLabeledDDS4, index=[:Φ])
 
-ldds = LabeledDDS{Symbol}()
+ldds = LabeledDDS4{Symbol}()
 add_parts!(ldds, :Label, 2)
 add_parts!(ldds, :X, 4, Φ=[2,3,4,1], label=[AttrVar(1), :a, :b, AttrVar(2)])
 @test roundtrip_json_acset(ldds) == ldds
@@ -67,7 +68,7 @@ end
 
 json_schema = JSONSchema.Schema(acset_schema_json_schema())
 
-for schema in [SchGraph, SchWeightedGraph, SchLabeledDDS]
+for schema in [SchGraph, SchWeightedGraph, SchLabeledDDS4]
   schema_dict = generate_json_acset_schema(schema)
   @test isnothing(JSONSchema.validate(json_schema, schema_dict))
   @test roundtrip_json_acset_schema(schema) == schema