diff --git a/.github/workflows/Downgrade.yml b/.github/workflows/Downgrade.yml
new file mode 100644
index 000000000..43309a37a
--- /dev/null
+++ b/.github/workflows/Downgrade.yml
@@ -0,0 +1,32 @@
+name: Downgrade
+on:
+  pull_request:
+    branches:
+      - main
+    paths-ignore:
+      - 'docs/**'
+  push:
+    branches:
+      - main
+    paths-ignore:
+      - 'docs/**'
+jobs:
+  test:
+    runs-on: ubuntu-latest
+    strategy:
+      matrix:
+        version:
+          - '1.6'
+          - '1'
+          # - 'nightly'
+    steps:
+      - uses: actions/checkout@v3
+      - uses: julia-actions/setup-julia@v1
+        with:
+          version: ${{ matrix.version }}
+      - uses: cjdoris/julia-downgrade-compat-action@v1
+#        if: ${{ matrix.version == '1.6' }}
+        with:
+          skip: Pkg,TOML
+      - uses: julia-actions/julia-buildpkg@v1
+      - uses: julia-actions/julia-runtest@v1
diff --git a/.just/downgrade.jl b/.just/downgrade.jl
new file mode 100644
index 000000000..18de70419
--- /dev/null
+++ b/.just/downgrade.jl
@@ -0,0 +1,75 @@
+function downgrade(file, ignore_pkgs, strict)
+    lines = readlines(file)
+    compat = false
+    for (i, line) in pairs(lines)
+        if startswith(line, "[compat]")
+            compat = true
+        elseif startswith(line, "[")
+            compat = false
+        elseif startswith(strip(line), "#") || isempty(strip(line))
+            continue
+        elseif compat
+            # parse the compat line
+            m = match(r"^([A-Za-z0-9]+)( *= *\")([^\"]*)(\".*)", line)
+            if m === nothing
+                error("cannot parse compat line: $line")
+            end
+            pkg, eq, ver, post = m.captures
+            # skip julia and any ignored packages
+            if pkg == "julia" || pkg in ignore_pkgs
+                println("skipping $pkg: $ver")
+                continue
+            end
+            # just take the first part a list compat
+            ver2 = strip(split(ver, ",")[1])
+            if occursin(" - ", ver2)
+                error("range specifiers not supported")
+            end
+            # separate the operator from the version
+            if ver2[1] in "^~="
+                op = ver2[1]
+                ver2 = ver2[2:end]
+            elseif isnumeric(ver2[1])
+                op = '^'
+            else
+                println("skipping $pkg: $ver")
+                continue
+            end
+            # parse the version
+            ver2 = VersionNumber(ver2)
+            # select a new operator
+            if strict == "true"
+                op = '='
+            elseif strict == "v0" && ver2.major == 0
+                op = '='
+            elseif op == '^'
+                op = '~'
+            end
+            # output the new compat entry
+            ver2 = "$op$ver2"
+            if ver == ver2
+                println("skipping $pkg: $ver")
+                continue
+            end
+            lines[i] = "$pkg$eq$ver2$post"
+            println("downgrading $pkg: $ver -> $ver2")
+        end
+    end
+    open(file, "w") do io
+        for line in lines
+            println(io, line)
+        end
+    end
+end
+
+ignore_pkgs = map(strip, split(ARGS[1], ",", keepempty=false))
+strict = ARGS[2]
+
+strict in ["true", "false", "v0"] || error("strict must be true, false or v0")
+
+project_files = filter(isfile, ["Project.toml", "JuliaProject.toml"])
+isempty(project_files) && error("could not find Project.toml")
+
+for file in project_files
+    downgrade(file, ignore_pkgs, strict)
+end
diff --git a/Project.toml b/Project.toml
index 9bc3e4b46..320e3603b 100644
--- a/Project.toml
+++ b/Project.toml
@@ -39,34 +39,34 @@ DiffEqDevTools = "f3b72e0c-5b89-59e1-b016-84e28bfd966d"
 DiffEqDevToolsExt = "DiffEqDevTools"
 
 [compat]
-ArrayAllocators = "0.3"
-DiffEqBase = "6.122"
-DiffEqDevTools = "2"
-ExponentialUtilities = "1"
-FastBroadcast = "0.2"
-FastGaussQuadrature = "0.5, 1"
-ForwardDiff = "0.10"
-FunctionWrappersWrappers = "0.1.3"
-GaussianDistributions = "0.5"
-Kronecker = "0.5.4"
-LinearAlgebra = "1"
-Octavian = "0.3.17"
-OrdinaryDiffEq = "6.52"
-PSDMatrices = "0.4.6"
-PrecompileTools = "1"
-RecipesBase = "1"
-RecursiveArrayTools = "2"
-Reexport = "1"
-SciMLBase = "1.90, 2"
-SimpleUnPack = "1"
-SpecialMatrices = "3"
-StaticArrayInterface = "1.3"
-Statistics = "1"
-StructArrays = "0.4, 0.5, 0.6"
-TaylorIntegration = "0.8, 0.9, 0.10, 0.11, 0.12, 0.13, 0.14"
-TaylorSeries = "0.10, 0.11, 0.12, 0.13, 0.14, 0.15"
-Test = "1"
-ToeplitzMatrices = "0.7, 0.8"
+ArrayAllocators = "=0.3.0"
+DiffEqBase = "~6.125.0"
+DiffEqDevTools = "~2.30.0"
+ExponentialUtilities = "~1.22.0"
+FastBroadcast = "=0.2.5"
+FastGaussQuadrature = "=1.0.0"
+ForwardDiff = "=0.10.13"
+FunctionWrappersWrappers = "=0.1.3"
+GaussianDistributions = "=0.5.2"
+Kronecker = "=0.5.4"
+LinearAlgebra = "~1.9.0"
+Octavian = "=0.3.21"
+OrdinaryDiffEq = "~6.52.0"
+PSDMatrices = "=0.4.6"
+PrecompileTools = "~1.0.0"
+RecipesBase = "~1.3.0"
+RecursiveArrayTools = "~2.36.0"
+Reexport = "~1.0.0"
+SciMLBase = "~1.90.0"
+SimpleUnPack = "~1.0.0"
+SpecialMatrices = "~3.0.0"
+StaticArrayInterface = "~1.3.0"
+Statistics = "~1.9.0"
+StructArrays = "=0.4.0"
+TaylorIntegration = "=0.9.0"
+TaylorSeries = "=0.12.0"
+Test = "~1.6.0"
+ToeplitzMatrices = "=0.7.0"
 julia = "1.6"
 
 [extras]
diff --git a/Project_main.toml b/Project_main.toml
new file mode 100644
index 000000000..383a11a6b
--- /dev/null
+++ b/Project_main.toml
@@ -0,0 +1,76 @@
+name = "ProbNumDiffEq"
+uuid = "bf3e78b0-7d74-48a5-b855-9609533b56a5"
+authors = ["Nathanael Bosch"]
+version = "0.13.0"
+
+[deps]
+ArrayAllocators = "c9d4266f-a5cb-439d-837c-c97b191379f5"
+DiffEqBase = "2b5f629d-d688-5b77-993f-72d75c75574e"
+DiffEqDevTools = "f3b72e0c-5b89-59e1-b016-84e28bfd966d"
+ExponentialUtilities = "d4d017d3-3776-5f7e-afef-a10c40355c18"
+FastBroadcast = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
+FastGaussQuadrature = "442a2c76-b920-505d-bb47-c5924d526838"
+ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+FunctionWrappersWrappers = "77dc65aa-8811-40c2-897b-53d922fa7daf"
+GaussianDistributions = "43dcc890-d446-5863-8d1a-14597580bb8d"
+Kronecker = "2c470bb0-bcc8-11e8-3dad-c9649493f05e"
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+Octavian = "6fd5a793-0b7e-452c-907f-f8bfe9c57db4"
+OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
+PSDMatrices = "fe68d972-6fd8-4755-bdf0-97d4c54cefdc"
+PrecompileTools = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
+RecipesBase = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
+RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd"
+Reexport = "189a3867-3050-52da-a836-e630ba90ab69"
+SciMLBase = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
+SimpleUnPack = "ce78b400-467f-4804-87d8-8f486da07d0a"
+SpecialMatrices = "928aab9d-ef52-54ac-8ca1-acd7ca42c160"
+StaticArrayInterface = "0d7ed370-da01-4f52-bd93-41d350b8b718"
+Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+TaylorIntegration = "92b13dbe-c966-51a2-8445-caca9f8a7d42"
+TaylorSeries = "6aa5eb33-94cf-58f4-a9d0-e4b2c4fc25ea"
+ToeplitzMatrices = "c751599d-da0a-543b-9d20-d0a503d91d24"
+
+[weakdeps]
+DiffEqDevTools = "f3b72e0c-5b89-59e1-b016-84e28bfd966d"
+
+[extensions]
+DiffEqDevToolsExt = "DiffEqDevTools"
+
+[compat]
+ArrayAllocators = "0.3"
+DiffEqBase = "6.125"
+DiffEqDevTools = "2"
+ExponentialUtilities = "1.22"
+FastBroadcast = "0.2.5"
+FastGaussQuadrature = "1"
+ForwardDiff = "0.10.13"
+FunctionWrappersWrappers = "0.1.3"
+GaussianDistributions = "0.5.2"
+Kronecker = "0.5.4"
+LinearAlgebra = "1.6"
+Octavian = "0.3.21"
+OrdinaryDiffEq = "6.52"
+PSDMatrices = "0.4.6"
+PrecompileTools = "1"
+RecipesBase = "1"
+RecursiveArrayTools = "2.36"
+Reexport = "1"
+SciMLBase = "1.90, 2"
+SimpleUnPack = "1"
+SpecialMatrices = "3"
+StaticArrayInterface = "1.3"
+Statistics = "1.6"
+StructArrays = "0.4, 0.5, 0.6"
+TaylorIntegration = "0.9, 0.10, 0.11, 0.12, 0.13, 0.14"
+TaylorSeries = "0.12, 0.13, 0.14, 0.15"
+Test = "1.6"
+ToeplitzMatrices = "0.7, 0.8"
+julia = "1.6"
+
+[extras]
+Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+
+[targets]
+test = ["Test"]
diff --git a/justfile b/justfile
index 9f86f303b..fc5e52931 100644
--- a/justfile
+++ b/justfile
@@ -17,4 +17,9 @@ benchmark:
     julia --project=benchmarks -e 'include("benchmarks/runall.jl")'
 
 vale:
-    git ls-files | xargs vale
\ No newline at end of file
+    git ls-files | xargs vale
+
+test-lower-compat:
+    julia .just/downgrade.jl "Pkg,TOML" "v0"
+    julia --project=. -e "using ProbNumDiffEq"
+    git restore Project.toml
\ No newline at end of file
diff --git a/test/Project.toml b/test/Project.toml
index 2af565072..2194846b6 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -11,7 +11,6 @@ ODEProblemLibrary = "fdc4e326-1af4-4b90-96e7-779fcce2daa5"
 OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
 ParameterizedFunctions = "65888b18-ceab-5e60-b2b9-181511a3b968"
 Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-ProbNumDiffEq = "bf3e78b0-7d74-48a5-b855-9609533b56a5"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 SafeTestsets = "1bc83da4-3b8d-516f-aca4-4fe02f6d838f"
 SimpleUnPack = "ce78b400-467f-4804-87d8-8f486da07d0a"