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diff --git a/matita/matita/contribs/lambdadelta/basic_2/names.txt b/matita/matita/contribs/lambdadelta/basic_2/names.txt
index b5405f69d..9a3e5d490 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/names.txt
+++ b/matita/matita/contribs/lambdadelta/basic_2/names.txt
@@ -1,9 +1,9 @@
 NAMING CONVENTIONS FOR METAVARIABLES
 
 A,B    : arity
-C,D    : candidate of reducibility
-E,F    : RTM environment
-G      : global environment 
+C      : candidate of reducibility
+D,E    : RTM environment
+F,G    : global environment 
 H      : reserved: transient premise
 IH     : reserved: inductive premise
 I,J    : item
@@ -28,7 +28,8 @@ l      : term degree
 m,n    : reserved: future use
 o      :
 p,q    : global reference position
-r,s    :
+r      : reduction kind parameter (true = ordinary, false = extended)
+s      : local dropping kind parameter (true = general, false = restricted)
 t,u    : local reference position level (de Bruijn's)
 v,w    :
 x,y,z  : reserved: transient objet denoted by a small letter
@@ -39,6 +40,8 @@ NAMING CONVENTIONS FOR CONSTRUCTORS
 2: binary
 
 A: application to vector
+F: boolean false
+T: boolean true
 
 a: application
 b: binder
@@ -73,18 +76,22 @@ b: "big tree" reduction
 c: conversion
 d: decomposed extended reduction
 e: decomposed extended conversion
-n: order on "big tree" normal forms
 q: restricted reduction
 r: reduction
 s: substitution
 u: supclosure
+w: reserved for generic pointwise extension
 x: extended reduction
+y: extended substitution
 
 - forth letter (if present)
 
-c: proper single step                          (successor)
+c: proper single step (general)                (successor)
 e: reflexive transitive closure to normal form (evaluation)
-g: proper multiple step                        (greater)
+g: proper multiple step (general)              (greater)
 p: non-reflexive transitive closure            (plus)
 q: reflexive closure                           (question)
+r: proper multiple step (restricted)           (restricted)
 s: reflexive transitive closure                (star)
+u: proper single step (restricted)             (unit)
+x: reserved for generic pointwise extension