diff --git a/.travis.yml b/.travis.yml
index a0b9fd8..d5108f1 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -6,8 +6,8 @@ language: scala
 
 scala:
   - 2.11.12
-  - 2.12.12
-  - 2.13.4
+  - 2.12.13
+  - 2.13.5
 
 env:
   - ADOPTOPENJDK=8
diff --git a/build.sbt b/build.sbt
index cb6a47c..a7151a9 100644
--- a/build.sbt
+++ b/build.sbt
@@ -18,6 +18,9 @@ def osgiExport(scalaVersion: String, version: String) = {
   }) ++ Seq(s"scala.compat.java8.*;version=${version}")
 }
 
+ThisBuild / versionScheme := Some("early-semver")
+ThisBuild / versionPolicyIntention := Compatibility.BinaryAndSourceCompatible
+
 lazy val commonSettings = Seq(
   scalacOptions ++= Seq("-feature", "-deprecation", "-unchecked"),
 
@@ -70,7 +73,23 @@ lazy val scalaJava8Compat = (project in file("."))
 
     libraryDependencies += "com.novocode" % "junit-interface" % "0.11" % "test",
 
-    scalaModuleMimaPreviousVersion := None,
+    // we're still in 0.x land so we could choose to break bincompat,
+    // but let's at least be aware when we're doing it. also we should
+    // think about going 1.0, it's been a while
+    scalaModuleMimaPreviousVersion := Some("0.9.1"),
+
+    mimaBinaryIssueFilters ++= {
+      import com.typesafe.tools.mima.core._, ProblemFilters._
+      Seq(
+        // bah
+        exclude[IncompatibleSignatureProblem]("*"),
+        // mysterious -- see scala/scala-java8-compat#211
+        exclude[DirectMissingMethodProblem  ]("scala.compat.java8.Priority1FunctionConverters.enrichAsJavaIntFunction"),
+        exclude[ReversedMissingMethodProblem]("scala.compat.java8.Priority1FunctionConverters.enrichAsJavaIntFunction"),
+        exclude[DirectMissingMethodProblem  ]("scala.compat.java8.FunctionConverters.package.enrichAsJavaIntFunction" ),
+        exclude[ReversedMissingMethodProblem]("scala.compat.java8.FunctionConverters.package.enrichAsJavaIntFunction" ),
+      )
+    },
 
     testOptions += Tests.Argument(TestFrameworks.JUnit, "-v", "-a"),
 
diff --git a/build.sh b/build.sh
index 65cc465..8dcf234 100755
--- a/build.sh
+++ b/build.sh
@@ -62,4 +62,4 @@ export CI_SNAPSHOT_RELEASE="publish"
 # for now, until we're confident in the new release scripts, just close the staging repo.
 export CI_SONATYPE_RELEASE="; sonatypePrepare; sonatypeBundleUpload; sonatypeClose"
 
-sbt "$setTagScalaVersion" clean test publishLocal $releaseTask
+sbt "$setTagScalaVersion" clean test versionPolicyCheck publishLocal $releaseTask
diff --git a/project/plugins.sbt b/project/plugins.sbt
index 53db5d3..32698b2 100644
--- a/project/plugins.sbt
+++ b/project/plugins.sbt
@@ -1 +1,2 @@
 addSbtPlugin("org.scala-lang.modules" % "sbt-scala-module" % "2.2.4")
+addSbtPlugin("ch.epfl.scala" % "sbt-version-policy" % "1.0.0-RC5")