diff --git a/consensus-engine/tests/fuzz/ref_state.rs b/consensus-engine/tests/fuzz/ref_state.rs
index 2d1c6158..fee04d67 100644
--- a/consensus-engine/tests/fuzz/ref_state.rs
+++ b/consensus-engine/tests/fuzz/ref_state.rs
@@ -17,14 +17,14 @@ use crate::fuzz::transition::Transition;
 // so that we don't need to replicate the logic implemented in consensus-engine.
 #[derive(Clone, Debug)]
 pub struct RefState {
-    chain: BTreeMap<View, ViewEntry>,
-    highest_voted_view: View,
+    pub chain: BTreeMap<View, ViewEntry>,
+    pub highest_voted_view: View,
 }
 
 #[derive(Clone, Debug, Default, PartialEq)]
-struct ViewEntry {
-    blocks: HashSet<Block>,
-    timeout_qcs: HashSet<TimeoutQc>,
+pub struct ViewEntry {
+    pub blocks: HashSet<Block>,
+    pub timeout_qcs: HashSet<TimeoutQc>,
 }
 
 const LEADER_PROOF: LeaderProof = LeaderProof::LeaderId { leader_id: [0; 32] };
@@ -315,10 +315,6 @@ impl RefState {
         .boxed()
     }
 
-    pub fn highest_voted_view(&self) -> View {
-        self.highest_voted_view
-    }
-
     pub fn current_view(&self) -> View {
         let (&last_view, last_entry) = self.chain.last_key_value().unwrap();
         if last_entry.timeout_qcs.is_empty() {
@@ -333,7 +329,7 @@ impl RefState {
         timeout_qc.view + 1
     }
 
-    fn high_qc(&self) -> StandardQc {
+    pub fn high_qc(&self) -> StandardQc {
         self.chain
             .iter()
             .rev()
@@ -341,7 +337,7 @@ impl RefState {
             .unwrap() // doesn't fail because self.chain always contains at least a genesis block
     }
 
-    fn latest_timeout_qcs(&self) -> Vec<TimeoutQc> {
+    pub fn latest_timeout_qcs(&self) -> Vec<TimeoutQc> {
         let latest_timeout_qc_view_entry = self
             .chain
             .iter()
diff --git a/consensus-engine/tests/fuzz/sut.rs b/consensus-engine/tests/fuzz/sut.rs
index 476b0bdc..2d3d1cd0 100644
--- a/consensus-engine/tests/fuzz/sut.rs
+++ b/consensus-engine/tests/fuzz/sut.rs
@@ -1,4 +1,4 @@
-use std::panic;
+use std::{collections::HashSet, panic};
 
 use consensus_engine::{
     overlay::{FlatOverlay, RoundRobin, Settings},
@@ -130,12 +130,24 @@ impl StateMachineTest for ConsensusEngineTest {
         ref_state: &<Self::Reference as ReferenceStateMachine>::State,
     ) {
         assert_eq!(state.engine.current_view(), ref_state.current_view());
-
         assert_eq!(
             state.engine.highest_voted_view(),
-            ref_state.highest_voted_view()
+            ref_state.highest_voted_view
         );
+        assert_eq!(state.engine.high_qc().view, ref_state.high_qc().view);
 
-        //TODO: add more invariants with more public functions of Carnot
+        match state.engine.last_view_timeout_qc() {
+            Some(timeout_qc) => assert!(ref_state.latest_timeout_qcs().contains(&timeout_qc)),
+            None => assert!(ref_state.latest_timeout_qcs().is_empty()),
+        }
+
+        // Check if state and ref_state have the same blocks
+        let ref_blocks: HashSet<&Block> = ref_state
+            .chain
+            .values()
+            .flat_map(|entry| entry.blocks.iter())
+            .collect();
+        let blocks: HashSet<&Block> = state.engine.safe_blocks().values().collect();
+        assert_eq!(blocks, ref_blocks);
     }
 }