diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
new file mode 100644
index 000000000..904e4cadf
--- /dev/null
+++ b/.github/workflows/main.yml
@@ -0,0 +1,71 @@
+name: main
+
+on: [push, pull_request]
+
+jobs:
+  no-naked-pointers:
+    runs-on: ubuntu-latest
+    steps:
+    - name: Checkout
+      uses: actions/checkout@v2
+    - name: configure tree
+      run: ./configure --disable-naked-pointers --disable-stdlib-manpages
+    - name: Build
+      run: |
+        make -j world.opt
+    - name: Run the testsuite
+      run: |
+        make -C testsuite USE_RUNTIME=d all
+  i386-static:
+    runs-on: ubuntu-latest
+    steps:
+    - name: Checkout
+      uses: actions/checkout@v2
+    - name: Packages
+      run: |
+        sudo apt install gcc-multilib gfortran-multilib
+    - name: configure tree
+      run: |
+        XARCH=i386 CONFIG_ARG='--disable-stdlib-manpages --disable-shared' bash -xe tools/ci/actions/runner.sh configure
+    - name: Build
+      run: |
+        bash -xe tools/ci/actions/runner.sh build
+    - name: Run the testsuite
+      run: |
+        bash -xe tools/ci/actions/runner.sh test
+    - name: Install
+      run: |
+        bash -xe tools/ci/actions/runner.sh install
+    - name: Other checks
+      run: |
+        bash -xe tools/ci/actions/runner.sh other-checks
+  full-flambda:
+    runs-on: ubuntu-latest
+    steps:
+    - name: Checkout
+      uses: actions/checkout@v2
+    - name: Packages
+      run: |
+        sudo apt install texlive-latex-extra texlive-fonts-recommended
+  # Ensure that make distclean can be run from an empty tree
+    - name: distclean
+      run: |
+        MAKE_ARG=-j make distclean
+    - name: configure tree
+      run: |
+        MAKE_ARG=-j XARCH=x64 CONFIG_ARG='--enable-flambda --enable-dependency-generation' OCAMLRUNPARAM=b,v=0 bash -xe tools/ci/actions/runner.sh configure
+    - name: Build
+      run: |
+        MAKE_ARG=-j OCAMLRUNPARAM=b,v=0 bash -xe tools/ci/actions/runner.sh build
+    - name: Run the testsuite
+      run: |
+        MAKE_ARG=-j OCAMLRUNPARAM=b,v=0 bash -xe tools/ci/actions/runner.sh test
+    - name: Build API Documentation
+      run: |
+        MAKE_ARG=-j OCAMLRUNPARAM=b,v=0 bash -xe tools/ci/actions/runner.sh api-docs
+    - name: Install
+      run: |
+        MAKE_ARG=-j OCAMLRUNPARAM=b,v=0 bash -xe tools/ci/actions/runner.sh install
+    - name: Other checks
+      run: |
+        MAKE_ARG=-j OCAMLRUNPARAM=b,v=0 bash -xe tools/ci/actions/runner.sh other-checks
diff --git a/.github/workflows/nnp.yml b/.github/workflows/nnp.yml
deleted file mode 100644
index c5a505dc2..000000000
--- a/.github/workflows/nnp.yml
+++ /dev/null
@@ -1,18 +0,0 @@
-name: main
-
-on: [push, pull_request]
-
-jobs:
-  no-naked-pointers:
-    runs-on: ubuntu-latest
-    steps:
-    - name: Checkout
-      uses: actions/checkout@v2
-    - name: configure tree
-      run: ./configure --disable-naked-pointers --disable-stdlib-manpages
-    - name: Build
-      run: |
-        make -j world.opt
-    - name: Run the testsuite
-      run: |
-        make -C testsuite USE_RUNTIME=d all
diff --git a/.travis.yml b/.travis.yml
index 0e5145065..a2373e87e 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -20,51 +20,10 @@ git:
 script: tools/ci/travis/travis-ci.sh
 matrix:
   include:
-  - env: >-
-      CI_KIND=build
-      XARCH=x64
-      CONFIG_ARG=--enable-flambda
-      OCAMLRUNPARAM=b,v=0
-  - env: >-
-      CI_KIND=build
-      XARCH=i386
-      CONFIG_ARG=--disable-stdlib-manpages
-    addons:
-      apt:
-        packages:
-        - gcc-multilib
-  - env: >-
-      CI_KIND=build
-      XARCH=x64
-    addons:
-      apt:
-        packages:
-        - texlive-latex-extra
-        - texlive-fonts-recommended
-  - env: >-
-      CI_KIND=build
-      XARCH=x64
-      CONFIG_ARG=--disable-shared
-  - env: >-
-      CI_KIND=build
-      XARCH=x64
-      MIN_BUILD=1
-  - env: >-
-      CI_KIND=build
-      XARCH=x64
-      CONFIG_ARG=--enable-dependency-generation
-      MAKE_ARG=-j
   - env: CI_KIND=check-depend
   - env: CI_KIND=changes
   - env: CI_KIND=manual
   - env: CI_KIND=check-typo
-#  - env: CI_KIND=tests
-#  allow_failures:
-#  - env: CI_KIND=tests
-addons:
-  apt:
-    packages:
-    - binutils-dev
 
 notifications:
   email:
diff --git a/ocamltest/ocaml_actions.ml b/ocamltest/ocaml_actions.ml
index 9b8419b82..bd7e6a5ef 100644
--- a/ocamltest/ocaml_actions.ml
+++ b/ocamltest/ocaml_actions.ml
@@ -1083,6 +1083,7 @@ let config_variables _log env =
       Sys.getenv_with_default_value "MKDLL" Ocamltest_config.mkdll;
     Ocaml_variables.mkexe, Ocamltest_config.mkexe;
     Ocaml_variables.c_preprocessor, Ocamltest_config.c_preprocessor;
+    Ocaml_variables.cc, Ocamltest_config.cc;
     Ocaml_variables.csc, Ocamltest_config.csc;
     Ocaml_variables.csc_flags, Ocamltest_config.csc_flags;
     Ocaml_variables.shared_library_cflags,
diff --git a/ocamltest/ocaml_variables.ml b/ocamltest/ocaml_variables.ml
index b95156291..78c138ef9 100644
--- a/ocamltest/ocaml_variables.ml
+++ b/ocamltest/ocaml_variables.ml
@@ -41,6 +41,9 @@ let bytecc_libs = make ("bytecc_libs",
 let c_preprocessor = make ("c_preprocessor",
   "Command to use to invoke the C preprocessor")
 
+let cc = make ("cc",
+  "Command to use to invoke the C compiler")
+
 let caml_ld_library_path_name = "CAML_LD_LIBRARY_PATH"
 
 let export_caml_ld_library_path value =
diff --git a/ocamltest/ocaml_variables.mli b/ocamltest/ocaml_variables.mli
index 89686de1e..5487ea2f7 100644
--- a/ocamltest/ocaml_variables.mli
+++ b/ocamltest/ocaml_variables.mli
@@ -28,6 +28,8 @@ val bytecc_libs : Variables.t
 
 val c_preprocessor : Variables.t
 
+val cc : Variables.t
+
 val caml_ld_library_path : Variables.t
 
 val compare_programs : Variables.t
diff --git a/testsuite/tests/lib-bigarray-2/bigarrfml.ml b/testsuite/tests/lib-bigarray-2/bigarrfml.ml
index 40020b237..63bbf1d3f 100644
--- a/testsuite/tests/lib-bigarray-2/bigarrfml.ml
+++ b/testsuite/tests/lib-bigarray-2/bigarrfml.ml
@@ -8,7 +8,7 @@ script = "sh ${test_source_directory}/has-gfortran.sh"
 
 ** setup-ocamlc.byte-build-env
 *** script
-script = "gfortran -c bigarrf.f"
+script = "sh ${test_source_directory}/call-gfortran.sh ${cc} -c bigarrf.f"
 **** ocamlc.byte
 all_modules = "bigarrf.o bigarrfstub.c bigarrfml.ml"
 ***** run
@@ -18,7 +18,7 @@ stdout = "${output}"
 
 ** setup-ocamlopt.byte-build-env
 *** script
-script = "gfortran -c bigarrf.f"
+script = "sh ${test_source_directory}/call-gfortran.sh ${cc} -c bigarrf.f"
 **** ocamlopt.byte
 all_modules = "bigarrf.o bigarrfstub.c bigarrfml.ml"
 ***** run
diff --git a/testsuite/tests/lib-bigarray-2/call-gfortran.sh b/testsuite/tests/lib-bigarray-2/call-gfortran.sh
new file mode 100644
index 000000000..5a250eb46
--- /dev/null
+++ b/testsuite/tests/lib-bigarray-2/call-gfortran.sh
@@ -0,0 +1,7 @@
+#!/bin/sh
+
+# This somewhat hackily passes any extra words in CC to gfortran
+# This means for a 32-bit build (configured with CC="gcc -m32" the -m32
+# gets passed to gfortran)
+shift 1
+gfortran "$@"
diff --git a/tools/ci/actions/runner.sh b/tools/ci/actions/runner.sh
new file mode 100755
index 000000000..9fcc61691
--- /dev/null
+++ b/tools/ci/actions/runner.sh
@@ -0,0 +1,133 @@
+#!/usr/bin/env bash
+#**************************************************************************
+#*                                                                        *
+#*                                 OCaml                                  *
+#*                                                                        *
+#*              Anil Madhavapeddy, OCaml Labs                             *
+#*                                                                        *
+#*   Copyright 2014 Institut National de Recherche en Informatique et     *
+#*     en Automatique.                                                    *
+#*                                                                        *
+#*   All rights reserved.  This file is distributed under the terms of    *
+#*   the GNU Lesser General Public License version 2.1, with the          *
+#*   special exception on linking described in the file LICENSE.          *
+#*                                                                        *
+#**************************************************************************
+
+set -xe
+
+PREFIX=~/local
+
+MAKE="make $MAKE_ARG"
+SHELL=dash
+
+export PATH=$PREFIX/bin:$PATH
+
+Configure () {
+  mkdir -p $PREFIX
+  cat<<EOF
+------------------------------------------------------------------------
+This test builds the OCaml compiler distribution with your pull request
+and runs its testsuite.
+
+Failing to build the compiler distribution, or testsuite failures are
+critical errors that must be understood and fixed before your pull
+request can be merged.
+------------------------------------------------------------------------
+EOF
+
+  configure_flags="\
+    --prefix=$PREFIX \
+    --enable-flambda-invariants \
+    --enable-ocamltest \
+    --disable-dependency-generation \
+    $CONFIG_ARG"
+
+  case $XARCH in
+  x64)
+    ./configure $configure_flags
+    ;;
+  i386)
+    ./configure --build=x86_64-pc-linux-gnu --host=i386-linux \
+      CC='gcc -m32' AS='as --32' ASPP='gcc -m32 -c' \
+      PARTIALLD='ld -r -melf_i386' \
+      $configure_flags
+    ;;
+  *)
+    echo unknown arch
+    exit 1
+    ;;
+  esac
+}
+
+Build () {
+  $MAKE world.opt
+  $MAKE ocamlnat
+  echo Ensuring that all names are prefixed in the runtime
+  ./tools/check-symbol-names runtime/*.a
+}
+
+Test () {
+  cd testsuite
+  echo Running the testsuite with the normal runtime
+  $MAKE all
+  echo Running the testsuite with the debug runtime
+  $MAKE USE_RUNTIME='d' OCAMLTESTDIR="$(pwd)/_ocamltestd" TESTLOG=_logd all
+  cd ..
+}
+
+API_Docs () {
+  echo Ensuring that all library documentation compiles
+  $MAKE -C ocamldoc html_doc pdf_doc texi_doc
+}
+
+Install () {
+  $MAKE install
+}
+
+Checks () {
+  if fgrep 'SUPPORTS_SHARED_LIBRARIES=true' Makefile.config &>/dev/null ; then
+    echo Check the code examples in the manual
+    $MAKE manual-pregen
+  fi
+  # check_all_arches checks tries to compile all backends in place,
+  # we would need to redo (small parts of) world.opt afterwards to
+  # use the compiler again
+  $MAKE check_all_arches
+  # Ensure that .gitignore is up-to-date - this will fail if any untreacked or
+  # altered files exist.
+  test -z "$(git status --porcelain)"
+  # check that the 'clean' target also works
+  $MAKE clean
+  $MAKE -C manual clean
+  # check that the `distclean` target definitely cleans the tree
+  $MAKE distclean
+  # Check the working tree is clean
+  test -z "$(git status --porcelain)"
+  # Check that there are no ignored files
+  test -z "$(git ls-files --others -i --exclude-standard)"
+}
+
+CheckManual () {
+      cat<<EOF
+--------------------------------------------------------------------------
+This test checks the global structure of the reference manual
+(e.g. missing chapters).
+--------------------------------------------------------------------------
+EOF
+  # we need some of the configuration data provided by configure
+  ./configure
+  $MAKE check-stdlib check-case-collision -C manual/tests
+
+}
+
+case $1 in
+configure) Configure;;
+build) Build;;
+test) Test;;
+api-docs) API_Docs;;
+install) Install;;
+other-checks) Checks;;
+*) echo "Unknown CI instruction: $1"
+   exit 1;;
+esac
diff --git a/tools/ci/inria/other-configs/script b/tools/ci/inria/other-configs/script
index 09fe675b1..c3279f63c 100755
--- a/tools/ci/inria/other-configs/script
+++ b/tools/ci/inria/other-configs/script
@@ -22,7 +22,23 @@ set -e
 mainjob=./tools/ci/inria/main
 main="${mainjob} -j8"
 
-${main} -conf --disable-native-compiler -no-native
+# The "MIN_BUILD" (formerly on Travis) builds with everything disabled (apart
+# from ocamltest). Its goals:
+#  - Ensure that the system builds correctly without native compilation
+#  - Ensure ocamltest builds correctly with Unix
+#  - Ensure the testsuite runs correctly with everything switched off
+${main} -conf --disable-native-compiler \
+        -conf --disable-shared \
+        -conf --disable-debug-runtime \
+        -conf --disable-instrumented-runtime \
+        -conf --disable-systhreads \
+        -conf --disable-str-lib \
+        -conf --disable-unix-lib \
+        -conf --disable-bigarray-lib \
+        -conf --disable-ocamldoc \
+        -conf --disable-native-compiler \
+        -conf --disable-dependency-generation \
+        -no-native
 ${main} -conf --disable-naked-pointers
 ${main} -with-bootstrap -conf --disable-flat-float-array
 ${main} -conf --enable-flambda -conf --disable-naked-pointers