diff --git a/jedi/api/completion.py b/jedi/api/completion.py
index d5c9182b..7a3c9c88 100644
--- a/jedi/api/completion.py
+++ b/jedi/api/completion.py
@@ -27,6 +27,22 @@ def get_call_signature_param_names(call_signatures):
                                       Parameter.KEYWORD_ONLY):
                 yield p._name
 
+def start_match(string, like_name):
+    return string.startswith(like_name)
+
+
+def substr_match(string, like_name):
+    return like_name in string
+
+
+def fuzzy_match(string, like_name):
+    if len(like_name) <= 1:
+        return like_name in string
+    pos = string.find(like_name[0])
+    if pos >= 0:
+        return fuzzy_match(string[pos + 1:], like_name[1:])
+    return False
+
 
 def filter_names(inference_state, completion_names, stack, like_name):
     comp_dct = {}
@@ -37,7 +53,7 @@ def filter_names(inference_state, completion_names, stack, like_name):
         if settings.case_insensitive_completion:
             string = string.lower()
 
-        if string.startswith(like_name):
+        if fuzzy_match(string, like_name):
             new = classes.Completion(
                 inference_state,
                 name,
diff --git a/test/test_api/test_completion.py b/test/test_api/test_completion.py
index 1d3d092b..d0da4864 100644
--- a/test/test_api/test_completion.py
+++ b/test/test_api/test_completion.py
@@ -267,3 +267,18 @@ def test_file_path_completions(Script, file, code, column, expected):
         assert len(comps) > 100  # This is basically global completions.
     else:
         assert [c.complete for c in comps] == expected
+
+from jedi.api.completion import start_match, substr_match, fuzzy_match
+
+def test_start_match():
+    assert start_match('Condition', 'C')
+    
+def test_substr_match():
+    assert substr_match('Condition', 'dit')
+
+def test_fuzzy_match():
+    assert fuzzy_match('Condition', 'i')
+    assert not fuzzy_match('Condition', 'p')
+    assert fuzzy_match('Condition', 'ii')
+    assert not fuzzy_match('Condition', 'Ciito')
+    assert fuzzy_match('Condition', 'Cdiio')