}
         ]
         [ { "stratified static type assignment" * } {
-             [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" "ssta_ltpss" "ssta_aaa" "ssta_ssta" * ]
+             [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" "ssta_ltpss_dx" "ssta_ltpss_sn" "ssta_aaa" "ssta_ssta" * ]
           }
         ]
         [ { "local env. ref. for atomic arity assignment" * } {
           }
         ]
         [ { "atomic arity assignment" * } {
-             [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" "aaa_lifts" "aaa_ltpss" "aaa_aaa" * ]
+             [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" "aaa_lifts" "aaa_ltpss_dx" "aaa_ltpss_sn" "aaa_aaa" * ]
           }
         ]
         [ { "parameters" * } {