diff --git a/clap_complete/src/engine/custom.rs b/clap_complete/src/engine/custom.rs
index 51da696fefe..00dde78d67c 100644
--- a/clap_complete/src/engine/custom.rs
+++ b/clap_complete/src/engine/custom.rs
@@ -7,146 +7,146 @@ use clap_lex::OsStrExt as _;
 
 use super::CompletionCandidate;
 
-/// Extend [`Arg`][clap::Arg] with a [`ValueCandidates`]
+/// Extend [`Arg`][clap::Arg] with a completer
 ///
 /// # Example
 ///
 /// ```rust
 /// use clap::Parser;
-/// use clap_complete::engine::{ArgValueCandidates, CompletionCandidate};
+/// use clap_complete::engine::{ArgValueCompleter, CompletionCandidate};
+///
+/// fn custom_completer(current: &std::ffi::OsStr) -> Vec<CompletionCandidate> {
+///     let mut completions = vec![];
+///     let Some(current) = current.to_str() else {
+///         return completions;
+///     };
+///
+///     if "foo".starts_with(current) {
+///         completions.push(CompletionCandidate::new("foo"));
+///     }
+///     if "bar".starts_with(current) {
+///         completions.push(CompletionCandidate::new("bar"));
+///     }
+///     if "baz".starts_with(current) {
+///         completions.push(CompletionCandidate::new("baz"));
+///     }
+///     completions
+/// }
 ///
 /// #[derive(Debug, Parser)]
 /// struct Cli {
-///     #[arg(long, add = ArgValueCandidates::new(|| { vec![
-///         CompletionCandidate::new("foo"),
-///         CompletionCandidate::new("bar"),
-///         CompletionCandidate::new("baz")] }))]
+///     #[arg(long, add = ArgValueCompleter::new(custom_completer))]
 ///     custom: Option<String>,
 /// }
 /// ```
 #[derive(Clone)]
-pub struct ArgValueCandidates(Arc<dyn ValueCandidates>);
+pub struct ArgValueCompleter(Arc<dyn ValueCompleter>);
 
-impl ArgValueCandidates {
-    /// Create a new `ArgValueCandidates` with a custom completer
+impl ArgValueCompleter {
+    /// Create a new `ArgValueCompleter` with a custom completer
     pub fn new<C>(completer: C) -> Self
     where
-        C: ValueCandidates + 'static,
+        C: ValueCompleter + 'static,
     {
         Self(Arc::new(completer))
     }
 
-    /// All potential candidates for an argument.
+    /// Candidates that match `current`
     ///
     /// See [`CompletionCandidate`] for more information.
-    pub fn candidates(&self) -> Vec<CompletionCandidate> {
-        self.0.candidates()
+    pub fn complete(&self, current: &OsStr) -> Vec<CompletionCandidate> {
+        self.0.complete(current)
     }
 }
 
-impl std::fmt::Debug for ArgValueCandidates {
+impl std::fmt::Debug for ArgValueCompleter {
     fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
         f.write_str(type_name::<Self>())
     }
 }
 
-impl ArgExt for ArgValueCandidates {}
+impl ArgExt for ArgValueCompleter {}
 
-/// User-provided completion candidates for an [`Arg`][clap::Arg], see [`ArgValueCandidates`]
+/// User-provided completion candidates for an [`Arg`][clap::Arg], see [`ArgValueCompleter`]
 ///
 /// This is useful when predefined value hints are not enough.
-pub trait ValueCandidates: Send + Sync {
+pub trait ValueCompleter: Send + Sync {
     /// All potential candidates for an argument.
     ///
     /// See [`CompletionCandidate`] for more information.
-    fn candidates(&self) -> Vec<CompletionCandidate>;
+    fn complete(&self, current: &OsStr) -> Vec<CompletionCandidate>;
 }
 
-impl<F> ValueCandidates for F
+impl<F> ValueCompleter for F
 where
-    F: Fn() -> Vec<CompletionCandidate> + Send + Sync,
+    F: Fn(&OsStr) -> Vec<CompletionCandidate> + Send + Sync,
 {
-    fn candidates(&self) -> Vec<CompletionCandidate> {
-        self()
+    fn complete(&self, current: &OsStr) -> Vec<CompletionCandidate> {
+        self(current)
     }
 }
 
-/// Extend [`Arg`][clap::Arg] with a completer
+/// Extend [`Arg`][clap::Arg] with a [`ValueCandidates`]
 ///
 /// # Example
 ///
 /// ```rust
 /// use clap::Parser;
-/// use clap_complete::engine::{ArgValueCompleter, CompletionCandidate};
-///
-/// fn custom_completer(current: &std::ffi::OsStr) -> Vec<CompletionCandidate> {
-///     let mut completions = vec![];
-///     let Some(current) = current.to_str() else {
-///         return completions;
-///     };
-///
-///     if "foo".starts_with(current) {
-///         completions.push(CompletionCandidate::new("foo"));
-///     }
-///     if "bar".starts_with(current) {
-///         completions.push(CompletionCandidate::new("bar"));
-///     }
-///     if "baz".starts_with(current) {
-///         completions.push(CompletionCandidate::new("baz"));
-///     }
-///     completions
-/// }
+/// use clap_complete::engine::{ArgValueCandidates, CompletionCandidate};
 ///
 /// #[derive(Debug, Parser)]
 /// struct Cli {
-///     #[arg(long, add = ArgValueCompleter::new(custom_completer))]
+///     #[arg(long, add = ArgValueCandidates::new(|| { vec![
+///         CompletionCandidate::new("foo"),
+///         CompletionCandidate::new("bar"),
+///         CompletionCandidate::new("baz")] }))]
 ///     custom: Option<String>,
 /// }
 /// ```
 #[derive(Clone)]
-pub struct ArgValueCompleter(Arc<dyn ValueCompleter>);
+pub struct ArgValueCandidates(Arc<dyn ValueCandidates>);
 
-impl ArgValueCompleter {
-    /// Create a new `ArgValueCompleter` with a custom completer
+impl ArgValueCandidates {
+    /// Create a new `ArgValueCandidates` with a custom completer
     pub fn new<C>(completer: C) -> Self
     where
-        C: ValueCompleter + 'static,
+        C: ValueCandidates + 'static,
     {
         Self(Arc::new(completer))
     }
 
-    /// Candidates that match `current`
+    /// All potential candidates for an argument.
     ///
     /// See [`CompletionCandidate`] for more information.
-    pub fn complete(&self, current: &OsStr) -> Vec<CompletionCandidate> {
-        self.0.complete(current)
+    pub fn candidates(&self) -> Vec<CompletionCandidate> {
+        self.0.candidates()
     }
 }
 
-impl std::fmt::Debug for ArgValueCompleter {
+impl std::fmt::Debug for ArgValueCandidates {
     fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
         f.write_str(type_name::<Self>())
     }
 }
 
-impl ArgExt for ArgValueCompleter {}
+impl ArgExt for ArgValueCandidates {}
 
-/// User-provided completion candidates for an [`Arg`][clap::Arg], see [`ArgValueCompleter`]
+/// User-provided completion candidates for an [`Arg`][clap::Arg], see [`ArgValueCandidates`]
 ///
 /// This is useful when predefined value hints are not enough.
-pub trait ValueCompleter: Send + Sync {
+pub trait ValueCandidates: Send + Sync {
     /// All potential candidates for an argument.
     ///
     /// See [`CompletionCandidate`] for more information.
-    fn complete(&self, current: &OsStr) -> Vec<CompletionCandidate>;
+    fn candidates(&self) -> Vec<CompletionCandidate>;
 }
 
-impl<F> ValueCompleter for F
+impl<F> ValueCandidates for F
 where
-    F: Fn(&OsStr) -> Vec<CompletionCandidate> + Send + Sync,
+    F: Fn() -> Vec<CompletionCandidate> + Send + Sync,
 {
-    fn complete(&self, current: &OsStr) -> Vec<CompletionCandidate> {
-        self(current)
+    fn candidates(&self) -> Vec<CompletionCandidate> {
+        self()
     }
 }