diff --git a/types/abstract-iterator.d.ts b/types/abstract-iterator.d.ts
index 6ac7115..a31ff59 100644
--- a/types/abstract-iterator.d.ts
+++ b/types/abstract-iterator.d.ts
@@ -153,8 +153,8 @@ export class AbstractKeyIterator<TDatabase, K> extends CommonIterator<TDatabase,
    * @param size Get at most this many keys. Has a soft minimum of 1.
    * @param options Options (none at the moment, reserved for future use).
    */
-  nextv (size: number, options: {}): Promise<[K]>
-  nextv (size: number): Promise<[K]>
+  nextv (size: number, options: {}): Promise<K[]>
+  nextv (size: number): Promise<K[]>
 
   /**
    * Advance repeatedly and get all (remaining) keys as an array, automatically closing
@@ -165,8 +165,8 @@ export class AbstractKeyIterator<TDatabase, K> extends CommonIterator<TDatabase,
    *
    * @param options Options (none at the moment, reserved for future use).
    */
-  all (options: {}): Promise<[K]>
-  all (): Promise<[K]>
+  all (options: {}): Promise<K[]>
+  all (): Promise<K[]>
 
   /**
    * Seek to the key closest to {@link target}. Subsequent calls to {@link next()},
@@ -198,8 +198,8 @@ export class AbstractValueIterator<TDatabase, K, V> extends CommonIterator<TData
    * @param size Get at most this many values. Has a soft minimum of 1.
    * @param options Options (none at the moment, reserved for future use).
    */
-  nextv (size: number, options: {}): Promise<[V]>
-  nextv (size: number): Promise<[V]>
+  nextv (size: number, options: {}): Promise<V[]>
+  nextv (size: number): Promise<V[]>
 
   /**
    * Advance repeatedly and get all (remaining) values as an array, automatically closing
@@ -210,8 +210,8 @@ export class AbstractValueIterator<TDatabase, K, V> extends CommonIterator<TData
    *
    * @param options Options (none at the moment, reserved for future use).
    */
-  all (options: {}): Promise<[V]>
-  all (): Promise<[V]>
+  all (options: {}): Promise<V[]>
+  all (): Promise<V[]>
 
   /**
    * Seek to the key closest to {@link target}. Subsequent calls to {@link next()},
diff --git a/types/abstract-level.d.ts b/types/abstract-level.d.ts
index 6b9932b..48a0603 100644
--- a/types/abstract-level.d.ts
+++ b/types/abstract-level.d.ts
@@ -71,22 +71,22 @@ declare class AbstractLevel<TFormat, KDefault = string, VDefault = string>
   /**
    * Get a value from the database by {@link key}.
    */
-  get (key: KDefault): Promise<VDefault>
+  get (key: KDefault): Promise<VDefault | undefined>
 
   get<K = KDefault, V = VDefault> (
     key: K,
     options: AbstractGetOptions<K, V>
-  ): Promise<V>
+  ): Promise<V | undefined>
 
   /**
    * Get multiple values from the database by an array of {@link keys}.
    */
-  getMany (keys: KDefault[]): Promise<VDefault[]>
+  getMany (keys: KDefault[]): Promise<(VDefault | undefined)[]>
 
   getMany<K = KDefault, V = VDefault> (
     keys: K[],
     options: AbstractGetManyOptions<K, V>
-  ): Promise<V[]>
+  ): Promise<(V | undefined)[]>
 
   /**
    * Add a new entry or overwrite an existing entry.