diff --git a/src/repr/logical_expr.rs b/src/repr/logical_expr.rs
index 941f6ca5..57a955e9 100644
--- a/src/repr/logical_expr.rs
+++ b/src/repr/logical_expr.rs
@@ -122,6 +122,19 @@ impl LogicalExpr {
                     Box::new(helper(l.as_ref(), mapping)),
                     Box::new(helper(r.as_ref(), mapping)),
                 ),
+                LogicalSExpr::Iff(l, r) => LogicalExpr::Iff(
+                    Box::new(helper(l.as_ref(), mapping)),
+                    Box::new(helper(r.as_ref(), mapping)),
+                ),
+                LogicalSExpr::Xor(l, r) => LogicalExpr::Xor(
+                    Box::new(helper(l.as_ref(), mapping)),
+                    Box::new(helper(r.as_ref(), mapping)),
+                ),
+                LogicalSExpr::Ite(guard, thn, els) => LogicalExpr::Ite {
+                    guard: Box::new(helper(guard.as_ref(), mapping)),
+                    thn: Box::new(helper(thn.as_ref(), mapping)),
+                    els: Box::new(helper(els.as_ref(), mapping)),
+                },
             }
         }
 
@@ -253,7 +266,7 @@ impl LogicalExpr {
 }
 
 #[test]
-fn from_sexpr_e2e() {
+fn from_sexpr_e2e_primitive() {
     // this string represents X XOR Y. it exercises each branch of the match statement
     // within the from_sexpr helper
     let x_xor_y = String::from("(And (Or (Var X) (Var Y)) (Or (Not (Var X)) (Not (Var Y))))");
@@ -272,3 +285,25 @@ fn from_sexpr_e2e() {
 
     assert_eq!(LogicalExpr::from_sexpr(&expr), manually_constructed)
 }
+
+#[test]
+fn from_sexpr_e2e_complex() {
+    // this string uses the "complex" non-primitive s-expr items: IFF, XOR, ITE
+    let x_xor_y =
+        String::from("(Xor (Iff (Var X) (Var Y)) (Ite (Var Z) (Not (Var X)) (Not (Var Y))))");
+    let expr = serde_sexpr::from_str::<LogicalSExpr>(&x_xor_y).unwrap();
+
+    let manually_constructed = LogicalExpr::Xor(
+        Box::new(LogicalExpr::Iff(
+            Box::new(LogicalExpr::Literal(0, true)),
+            Box::new(LogicalExpr::Literal(1, true)),
+        )),
+        Box::new(LogicalExpr::Ite {
+            guard: Box::new(LogicalExpr::Literal(2, true)),
+            thn: Box::new(LogicalExpr::Literal(0, false)),
+            els: Box::new(LogicalExpr::Literal(1, false)),
+        }),
+    );
+
+    assert_eq!(LogicalExpr::from_sexpr(&expr), manually_constructed)
+}
diff --git a/src/serialize/ser_logical_expr.rs b/src/serialize/ser_logical_expr.rs
index 78673203..81133cf3 100644
--- a/src/serialize/ser_logical_expr.rs
+++ b/src/serialize/ser_logical_expr.rs
@@ -8,6 +8,9 @@ pub enum LogicalSExpr {
     Not(Box<LogicalSExpr>),
     Or(Box<LogicalSExpr>, Box<LogicalSExpr>),
     And(Box<LogicalSExpr>, Box<LogicalSExpr>),
+    Iff(Box<LogicalSExpr>, Box<LogicalSExpr>),
+    Xor(Box<LogicalSExpr>, Box<LogicalSExpr>),
+    Ite(Box<LogicalSExpr>, Box<LogicalSExpr>, Box<LogicalSExpr>),
 }
 
 impl LogicalSExpr {
@@ -27,11 +30,22 @@ impl LogicalSExpr {
             LogicalSExpr::True | LogicalSExpr::False => HashSet::new(),
             LogicalSExpr::Var(s) => HashSet::from([s]),
             LogicalSExpr::Not(l) => l.unique_variables(),
-            LogicalSExpr::Or(a, b) | LogicalSExpr::And(a, b) => a
+            LogicalSExpr::Or(a, b)
+            | LogicalSExpr::And(a, b)
+            | LogicalSExpr::Iff(a, b)
+            | LogicalSExpr::Xor(a, b) => a
                 .unique_variables()
                 .union(&b.unique_variables())
                 .cloned()
                 .collect::<HashSet<&String>>(),
+            LogicalSExpr::Ite(a, b, c) => a
+                .unique_variables()
+                .union(&b.unique_variables())
+                .cloned()
+                .collect::<HashSet<&String>>()
+                .union(&c.unique_variables())
+                .cloned()
+                .collect::<HashSet<&String>>(),
         }
     }
 
@@ -114,6 +128,31 @@ fn logical_expression_deserialization_boxed() {
             Box::new(LogicalSExpr::Var(String::from("Y")))
         )
     );
+
+    assert_eq!(
+        serde_sexpr::from_str::<LogicalSExpr>("(Iff (Var X) (Var Y))").unwrap(),
+        LogicalSExpr::Iff(
+            Box::new(LogicalSExpr::Var(String::from("X"))),
+            Box::new(LogicalSExpr::Var(String::from("Y")))
+        )
+    );
+
+    assert_eq!(
+        serde_sexpr::from_str::<LogicalSExpr>("(Xor (Var X) (Var Y))").unwrap(),
+        LogicalSExpr::Xor(
+            Box::new(LogicalSExpr::Var(String::from("X"))),
+            Box::new(LogicalSExpr::Var(String::from("Y")))
+        )
+    );
+
+    assert_eq!(
+        serde_sexpr::from_str::<LogicalSExpr>("(Ite (Var X) (Var Y) (Var Z))").unwrap(),
+        LogicalSExpr::Ite(
+            Box::new(LogicalSExpr::Var(String::from("X"))),
+            Box::new(LogicalSExpr::Var(String::from("Y"))),
+            Box::new(LogicalSExpr::Var(String::from("Z")))
+        )
+    );
 }
 
 #[test]
@@ -128,7 +167,7 @@ fn logical_expression_unique_variables_trivial() {
 #[test]
 fn logical_expression_unique_variables_handles_duplicates_and_nesting() {
     let expr =
-        serde_sexpr::from_str::<LogicalSExpr>("(Or (Var X) (Or (Not (Var X)) (Var Y)))").unwrap();
+        serde_sexpr::from_str::<LogicalSExpr>("(Or (Var X) (Or (Not (Var X)) (Xor (Iff (Var X) (Var Y)) (Ite (Var Y) (Not (Var X)) (Not (Var Y))))))").unwrap();
     let vars = expr.unique_variables();
 
     assert!(vars.len() == 2);