diff --git a/.github/workflows/CompatHelper.yml b/.github/workflows/CompatHelper.yml
index 84fbdc54..4375c052 100644
--- a/.github/workflows/CompatHelper.yml
+++ b/.github/workflows/CompatHelper.yml
@@ -1,21 +1,30 @@
+# https://github.com/JuliaRegistries/CompatHelper.jl
 name: CompatHelper
-
 on:
   schedule:
-    - cron: '00 00 * * *'
+    - cron: '0 0 * * *'  # every day at midnight
   workflow_dispatch:
-
 jobs:
   CompatHelper:
     runs-on: ubuntu-latest
     steps:
-      - uses: julia-actions/setup-julia@latest
+      - name: Check if Julia is already available
+        id: julia_in_path
+        run: which julia
+        continue-on-error: true
+      - name: Set up Julia if not already available
+        uses: julia-actions/setup-julia@v1
         with:
           version: '1'
-      - name: Pkg.add("CompatHelper")
-        run: julia -e 'using Pkg; Pkg.add("CompatHelper")'
-      - name: CompatHelper.main()
+          arch: ${{ runner.arch }}
+        if: steps.julia_in_path.outcome != 'success'
+      - name: Install CompatHelper
+        run: julia -e 'import Pkg; Pkg.add("CompatHelper")'
+      - name: Run CompatHelper
+        run: |
+          julia -e 'import CompatHelper;
+            CompatHelper.main(; subdirs=["", "docs"],
+            bump_compat_containing_equality_specifier=false)'
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
           COMPATHELPER_PRIV: ${{ secrets.DOCUMENTER_KEY }}
-        run: julia -e 'using CompatHelper; CompatHelper.main(; subdirs=["", "docs"])'
diff --git a/.github/workflows/SpellCheck.yml b/.github/workflows/SpellCheck.yml
deleted file mode 100644
index fe7db59f..00000000
--- a/.github/workflows/SpellCheck.yml
+++ /dev/null
@@ -1,13 +0,0 @@
-name: Spell Check
-
-on: [pull_request]
-
-jobs:
-  typos-check:
-    name: check spelling
-    runs-on: ubuntu-latest
-    steps:
-      - name: Checkout Actions Repository
-        uses: actions/checkout@v4
-      - name: Check spelling
-        uses: crate-ci/typos@master
diff --git a/.github/workflows/clean-gh-pages.yml b/.github/workflows/clean-gh-pages.yml
deleted file mode 100644
index 94b9f70a..00000000
--- a/.github/workflows/clean-gh-pages.yml
+++ /dev/null
@@ -1,26 +0,0 @@
-name: Doc Preview Cleanup
-
-on:
-  pull_request:
-    types: [closed]
-
-jobs:
-  doc-preview-cleanup:
-    runs-on: ubuntu-latest
-    steps:
-      - name: Checkout gh-pages branch
-        uses: actions/checkout@v4
-        with:
-          ref: gh-pages
-      - name: Delete preview and history + push changes
-        run: |
-            if [ -d "previews/PR$PRNUM" ]; then
-              git config user.name "Documenter.jl"
-              git config user.email "documenter@juliadocs.github.io"
-              git rm -rf "previews/PR$PRNUM"
-              git commit -m "delete preview"
-              git branch gh-pages-new $(echo "delete history" | git commit-tree HEAD^{tree})
-              git push --force origin gh-pages-new:gh-pages
-            fi
-        env:
-            PRNUM: ${{ github.event.number }}
diff --git a/.github/workflows/doc-preview-cleanup.yml b/.github/workflows/doc-preview-cleanup.yml
new file mode 100644
index 00000000..7a9375cd
--- /dev/null
+++ b/.github/workflows/doc-preview-cleanup.yml
@@ -0,0 +1,26 @@
+# https://documenter.juliadocs.org/stable/man/hosting/#Cleaning-up-gh-pages
+name: Doc preview cleanup
+on:
+  pull_request_target:
+    types: [closed]
+  workflow_dispatch:
+jobs:
+  doc-preview-cleanup:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout gh-pages branch
+        uses: actions/checkout@v4
+        with:
+          ref: gh-pages
+      - name: Delete preview and history
+        run: |
+          if [ -d "previews/PR$PRNUM" ]; then
+            git config user.name "Documenter.jl"
+            git config user.email "documenter@juliadocs.github.io"
+            git rm -rf "previews/PR$PRNUM"
+            git commit -m "delete preview"
+            git branch gh-pages-new $(echo "delete history" | git commit-tree HEAD^{tree})
+            git push --force origin gh-pages-new:gh-pages
+          fi
+        env:
+            PRNUM: ${{ github.event.number }}
diff --git a/.github/workflows/docs.yml b/.github/workflows/documentation.yml
similarity index 60%
rename from .github/workflows/docs.yml
rename to .github/workflows/documentation.yml
index 934501a9..d9594ea1 100644
--- a/.github/workflows/docs.yml
+++ b/.github/workflows/documentation.yml
@@ -1,5 +1,5 @@
+# https://documenter.juliadocs.org/stable/man/hosting/#GitHub-Actions
 name: Documentation
-
 on:
   push:
     paths-ignore:
@@ -7,33 +7,39 @@ on:
       - 'README.md'
     branches:
       - master
-    tags: '*'
   pull_request:
     paths-ignore:
       - 'LICENSE'
       - 'README.md'
-
+  workflow_dispatch:
+concurrency:
+  # cancel intermediate builds
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: true
 jobs:
   build:
     runs-on: ubuntu-latest
+    if: "!contains(github.event.head_commit.message, 'skip ci')"
     env:
       JULIA_PKG_SERVER: ''
     steps:
-      - name: Check out repository
-        uses: actions/checkout@v4
       - name: Set up Julia
-        uses: julia-actions/setup-julia@latest
+        uses: julia-actions/setup-julia@v1
         with:
           version: '1'
+      - name: Check out repository
+        uses: actions/checkout@v4
+      - name: Cache artifacts
+        uses: julia-actions/cache@v1
       - name: Install dependencies
         run: |
           julia --project=docs/ -e 'using Pkg;
-              Pkg.add(url="https://github.com/JuliaReach/SpaceExParser.jl.git");
-              Pkg.develop(PackageSpec(path=pwd()));
-              Pkg.instantiate()'
+            Pkg.add(url="https://github.com/JuliaReach/SpaceExParser.jl.git");
+            Pkg.develop(PackageSpec(path=pwd()));
+            Pkg.instantiate()'
       - name: Build and deploy
+        run: julia --project=docs/ docs/make.jl
         env:
           GKSwstype: nul  # fix for Plots with GR backend
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}  # authentication with GitHub Actions token
           DOCUMENTER_KEY: ${{ secrets.DOCUMENTER_KEY }}  # authentication with SSH deploy key
-        run: julia --project=docs/ docs/make.jl
diff --git a/.github/workflows/format.yml b/.github/workflows/format.yml
index 11bb7168..3e74e449 100644
--- a/.github/workflows/format.yml
+++ b/.github/workflows/format.yml
@@ -1,22 +1,22 @@
-name: Format
+# https://github.com/julia-actions/julia-format
+name: Format code
 on:
   schedule:
     - cron: '0 0 * * 6'  # every Saturday at 0:00
+  workflow_dispatch:
 jobs:
-  build:
+  format:
     runs-on: ubuntu-latest
     steps:
-      - uses: actions/checkout@v4
+      - name: Check out repository
+        uses: actions/checkout@v4
+      - name: Cache artifacts
+        uses: julia-actions/cache@v1
       - name: Install JuliaFormatter and format
-        run: |
-          julia  -e 'import Pkg; Pkg.add("JuliaFormatter")'
-          julia  -e 'using JuliaFormatter; format(".")'
-
-      # https://github.com/marketplace/actions/create-pull-request
-      # https://github.com/peter-evans/create-pull-request#reference-example
-      - name: Create Pull Request
+        run: julia -e 'import Pkg; Pkg.add("JuliaFormatter"); using JuliaFormatter; format(".")'
+      - name: Create pull request
         id: cpr
-        uses: peter-evans/create-pull-request@v5
+        uses: peter-evans/create-pull-request@v6
         with:
           token: ${{ secrets.GITHUB_TOKEN }}
           commit-message: Format .jl files
diff --git a/.github/workflows/invalidations.yml b/.github/workflows/invalidations.yml
index 96bd7922..9fa9636d 100644
--- a/.github/workflows/invalidations.yml
+++ b/.github/workflows/invalidations.yml
@@ -1,45 +1,51 @@
 # https://github.com/julia-actions/julia-invalidations
 name: Invalidations
-
 on:
   pull_request:
     paths-ignore:
       - 'LICENSE'
       - 'README.md'
-
+  workflow_dispatch:
 concurrency:
-  # Skip intermediate builds: always.
-  # Cancel intermediate builds: always.
+  # cancel intermediate builds
   group: ${{ github.workflow }}-${{ github.ref }}
   cancel-in-progress: true
-
 jobs:
   evaluate:
-    # Only run on PRs to the default branch.
-    # In the PR trigger above branches can be specified only explicitly whereas this check should work for master, main, or any other default branch
-    if: github.base_ref == github.event.repository.default_branch
     runs-on: ubuntu-latest
+    if: "!contains(github.event.head_commit.message, 'skip ci')"
+    env:
+      JULIA_PKG_SERVER: ''
     steps:
-    - uses: julia-actions/setup-julia@v1
-      with:
-        version: '1'
-
-    - uses: actions/checkout@v4
-    - uses: julia-actions/julia-buildpkg@v1
-    - uses: julia-actions/julia-invalidations@v1
-      id: invs_pr
-
-    - uses: actions/checkout@v4
-      with:
-        ref: ${{ github.event.repository.default_branch }}
-    - uses: julia-actions/julia-buildpkg@v1
-    - uses: julia-actions/julia-invalidations@v1
-      id: invs_default
-
-    - name: Report invalidation counts
-      run: |
-        echo "Invalidations on default branch: ${{ steps.invs_default.outputs.total }} (${{ steps.invs_default.outputs.deps }} via deps)" >> $GITHUB_STEP_SUMMARY
-        echo "This branch: ${{ steps.invs_pr.outputs.total }} (${{ steps.invs_pr.outputs.deps }} via deps)" >> $GITHUB_STEP_SUMMARY
-    - name: Check if the PR does increase number of invalidations
-      if: steps.invs_pr.outputs.total > steps.invs_default.outputs.total
-      run: exit 1
+      - name: Set up Julia
+        uses: julia-actions/setup-julia@v1
+        with:
+          version: '1'
+      # current branch
+      - name: Check out repository in current branch
+        uses: actions/checkout@v4
+      - name: Cache artifacts
+        uses: julia-actions/cache@v1
+      - name: Build package in current branch
+        uses: julia-actions/julia-buildpkg@v1
+      - name: Count invalidations in current branch
+        uses: julia-actions/julia-invalidations@v1
+        id: invs_branch
+      # default branch
+      - name: Check out repository in default branch
+        uses: actions/checkout@v4
+        with:
+          ref: ${{ github.event.repository.default_branch }}
+      - name: Build package in default branch
+        uses: julia-actions/julia-buildpkg@v1
+      - name: Count invalidations in default branch
+        uses: julia-actions/julia-invalidations@v1
+        id: invs_default
+      # aggregate results
+      - name: Report invalidation counts
+        run: |
+          echo "Invalidations on default branch: ${{ steps.invs_default.outputs.total }} (${{ steps.invs_default.outputs.deps }} via deps)" >> $GITHUB_STEP_SUMMARY
+          echo "Invalidations on this branch: ${{ steps.invs_branch.outputs.total }} (${{ steps.invs_branch.outputs.deps }} via deps)" >> $GITHUB_STEP_SUMMARY
+      - name: Check whether branch increases invalidations
+        if: steps.invs_branch.outputs.total > steps.invs_default.outputs.total
+        run: exit 1
diff --git a/.github/workflows/spell-check.yml b/.github/workflows/spell-check.yml
new file mode 100644
index 00000000..76902d84
--- /dev/null
+++ b/.github/workflows/spell-check.yml
@@ -0,0 +1,18 @@
+# https://github.com/crate-ci/typos
+name: Spell check
+on:
+  pull_request:
+  workflow_dispatch:
+concurrency:
+  # cancel intermediate builds
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: true
+jobs:
+  spell-check:
+    runs-on: ubuntu-latest
+    if: "!contains(github.event.head_commit.message, 'skip ci')"
+    steps:
+      - name: Check out repository
+        uses: actions/checkout@v4
+      - name: Check spelling
+        uses: crate-ci/typos@master