diff --git a/crates/preflight/src/lib.rs b/crates/preflight/src/lib.rs
index 1df39ebf05..0c322ecba3 100644
--- a/crates/preflight/src/lib.rs
+++ b/crates/preflight/src/lib.rs
@@ -10,7 +10,9 @@
 //! - every font embedded;
 //! - annotations: allowed types, printable, not hidden, with appearance streams;
 //! - actions: none of the forbidden kinds (JavaScript, Launch, Sound, Movie, ResetForm,
-//!   ImportData, Hide, SetOCGState, Rendition, Trans, GoTo3DView); no additional actions on the
+//!   ImportData, Hide, SetOCGState, Rendition, Trans, GoTo3DView, and the PDF 1.2 SetState and
+//!   NOP that ISO 32000-1 no longer defines); Named actions only for NextPage, PrevPage,
+//!   FirstPage and LastPage (ISO 32000-1 12.6.4.11, Table 212); no additional actions on the
 //!   catalog, pages, fields or widgets; `NeedAppearances` not true;
 //! - images: no `Interpolate`, no `Alternates`, no OPI; no PostScript XObjects;
 //! - embedded files: PDF/A-2 only allows embedded PDF/A files; PDF/A-3 needs `AFRelationship`.
@@ -152,8 +154,23 @@ pub struct Declared {
     pub output_intents: Vec<String>,
 }
 
-const FORBIDDEN_ACTIONS: &[&[u8]] =
-    &[b"JavaScript", b"Launch", b"Sound", b"Movie", b"ResetForm", b"ImportData", b"Hide", b"SetOCGState", b"Rendition", b"Trans", b"GoTo3DView"];
+const FORBIDDEN_ACTIONS: &[&[u8]] = &[
+    b"JavaScript",
+    b"Launch",
+    b"Sound",
+    b"Movie",
+    b"ResetForm",
+    b"ImportData",
+    b"Hide",
+    b"SetOCGState",
+    b"Rendition",
+    b"Trans",
+    b"GoTo3DView",
+    b"SetState",
+    b"NOP",
+];
+/// The named actions of ISO 32000-1 Table 212, the only ones a Named action may name.
+const NAMED_ACTIONS: &[&[u8]] = &[b"NextPage", b"PrevPage", b"FirstPage", b"LastPage"];
 const FORBIDDEN_ANNOTS: &[&[u8]] = &[b"Sound", b"Movie", b"Screen", b"3D", b"RichMedia"];
 
 fn catalog(doc: &Document) -> Dict {
@@ -753,10 +770,8 @@ fn walk_chain(doc: &Document, a: &Dict, read: &mut usize, seen: &mut std::collec
         if *read > MAX_ACTION_CHAIN {
             return Some("too deeply chained".into());
         }
-        if let Some(s) = d.name(b"S")
-            && FORBIDDEN_ACTIONS.contains(&s)
-        {
-            return Some(String::from_utf8_lossy(s).into_owned());
+        if let Some(s) = action_forbidden(d) {
+            return Some(s);
         }
         match d.get(b"Next") {
             Some(Object::Dict(next)) => stack.push(next),
@@ -773,6 +788,21 @@ fn walk_chain(doc: &Document, a: &Dict, read: &mut usize, seen: &mut std::collec
     None
 }
 
+/// The forbidden kind of the action `d` itself, if it is one: a forbidden type, or a Named
+/// action for anything but the four of [`NAMED_ACTIONS`].
+fn action_forbidden(d: &Dict) -> Option<String> {
+    let s = d.name(b"S")?;
+    if FORBIDDEN_ACTIONS.contains(&s) {
+        return Some(String::from_utf8_lossy(s).into_owned());
+    }
+    match d.name(b"N") {
+        _ if s != b"Named" => None,
+        Some(n) if NAMED_ACTIONS.contains(&n) => None,
+        Some(n) => Some(format!("Named {}", String::from_utf8_lossy(n))),
+        None => Some("Named".into()),
+    }
+}
+
 /// Whether `o` is (or refers to) a forbidden action or one chaining to it, or to nothing.
 fn forbidden(doc: &Document, o: &Object) -> bool {
     match &*doc.resolve(o) {
diff --git a/crates/preflight/src/tests.rs b/crates/preflight/src/tests.rs
index 52e6903e60..17816823e2 100644
--- a/crates/preflight/src/tests.rs
+++ b/crates/preflight/src/tests.rs
@@ -488,3 +488,39 @@ fn an_output_intent_profile_header_is_read_within_a_size_cap() {
         assert_eq!(pdfa_intent_profile(&doc), Some(n), "a {size}-byte profile");
     }
 }
+
+/// PDF/A-2 6.5.1: the PDF 1.2 SetState and NOP actions aren't allowed, and a Named action may
+/// only name NextPage, PrevPage, FirstPage or LastPage; Save as PDF/A removes the others.
+#[test]
+fn set_state_no_op_and_named_actions_are_checked() {
+    let doc_with = |action: &str| {
+        let outline = format!("<< /Title (x) /Parent 4 0 R /A {action} >>");
+        build(
+            &[
+                "<< /Type /Catalog /Pages 2 0 R /Outlines 4 0 R >>",
+                "<< /Type /Pages /Kids [] /Count 0 >>",
+                &outline,
+                "<< /Type /Outlines /First 3 0 R /Last 3 0 R /Count 1 >>",
+            ],
+            "",
+        )
+    };
+    let actions = |action: &str| -> Vec<String> {
+        verify(&doc_with(action), Level::A2b).into_iter().filter(|i| i.clause == "6.5.1").map(|i| i.message).collect()
+    };
+    assert_eq!(actions("<< /Type /Action /S /SetState /T [] >>"), ["A SetState action isn't allowed"]);
+    assert_eq!(actions("<< /S /NOP >>"), ["A NOP action isn't allowed"]);
+    assert_eq!(actions("<< /S /Named /N /Print >>"), ["A Named Print action isn't allowed"]);
+    assert_eq!(actions("<< /S /Named >>"), ["A Named action isn't allowed"]);
+    // Behind an allowed action, in its /Next.
+    assert_eq!(actions("<< /S /GoTo /D [0 /Fit] /Next << /S /NOP >> >>"), ["A NOP action isn't allowed"]);
+    for allowed in ["NextPage", "PrevPage", "FirstPage", "LastPage"] {
+        assert!(actions(&format!("<< /S /Named /N /{allowed} >>")).is_empty(), "{allowed}");
+    }
+    // Save as PDF/A removes them.
+    for action in ["<< /S /SetState /T [] >>", "<< /S /NOP >>", "<< /S /Named /N /Print >>"] {
+        let mut doc = doc_with(action);
+        convert(&mut doc, Level::A2b).unwrap();
+        assert!(verify(&doc, Level::A2b).iter().all(|i| i.clause != "6.5.1"), "{action}");
+    }
+}