diff --git a/pkg/intervals/interval.go b/pkg/intervals/interval.go
index 9570b0d..4834b3a 100644
--- a/pkg/intervals/interval.go
+++ b/pkg/intervals/interval.go
@@ -27,16 +27,6 @@ func (i *Interval) overlaps(other Interval) bool {
 	return other.End >= i.Start && other.Start <= i.End
 }
 
-func (i *Interval) touches(other Interval) bool {
-	if i.Start > other.End {
-		return i.Start == other.End+1
-	}
-	if other.Start > i.End {
-		return other.Start == i.End+1
-	}
-	return false
-}
-
 func (i *Interval) isSubset(other Interval) bool {
 	return other.Start <= i.Start && other.End >= i.End
 }
diff --git a/pkg/intervals/intervalset.go b/pkg/intervals/intervalset.go
index bccef84..708bba5 100644
--- a/pkg/intervals/intervalset.go
+++ b/pkg/intervals/intervalset.go
@@ -36,8 +36,8 @@ func (c *CanonicalIntervalSet) Equal(other CanonicalIntervalSet) bool {
 }
 
 // Insert updates the current Set with a new Interval to add
-func (s *CanonicalIntervalSet) AddInterval(v Interval) {
-	set := s.IntervalSet
+func (c *CanonicalIntervalSet) AddInterval(v Interval) {
+	set := c.IntervalSet
 	left := sort.Search(len(set), func(i int) bool {
 		return set[i].End >= v.Start-1
 	})
@@ -50,7 +50,7 @@ func (s *CanonicalIntervalSet) AddInterval(v Interval) {
 	if right > 0 && set[right-1].End >= v.Start {
 		v.End = max(v.End, set[right-1].End)
 	}
-	s.IntervalSet = slices.Replace(s.IntervalSet, left, right, v)
+	c.IntervalSet = slices.Replace(c.IntervalSet, left, right, v)
 }
 
 // AddHole updates the current CanonicalIntervalSet object by removing the input Interval from the set