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+--1 Numerals
+
+-- This grammar defines numerals from 1 to 999999. 
+-- The implementations are adapted from the
+-- [numerals library http://www.cs.chalmers.se/~aarne/GF/examples/numerals/] 
+-- which defines numerals for 88 languages.
+-- The resource grammar implementations add to this inflection (if needed)
+-- and ordinal numbers.
+--
+-- *Note* 1. Number 1 as defined 
+-- in the category $Numeral$ here should not be used in the formation of
+-- noun phrases, and should therefore be removed. Instead, one should use
+-- [Structural Structural.html]$.one_Quant$. This makes the grammar simpler
+-- because we can assume that numbers form plural noun phrases.
+--
+-- *Note* 2. The implementations introduce spaces between
+-- parts of a numeral, which is often incorrect - more work on
+-- (un)lexing is needed to solve this problem.
+
+abstract Numeral = Cat ** {
+
+cat 
+  Digit ;       -- 2..9
+  Sub10 ;       -- 1..9
+  Sub100 ;      -- 1..99
+  Sub1000 ;     -- 1..999
+  Sub1000000 ;  -- 1..999999
+
+fun 
+  num : Sub1000000 -> Numeral ;
+
+  n2, n3, n4, n5, n6, n7, n8, n9 : Digit ;
+
+  pot01 : Sub10 ;                               -- 1
+  pot0 : Digit -> Sub10 ;                       -- d * 1
+  pot110 : Sub100 ;                             -- 10
+  pot111 : Sub100 ;                             -- 11
+  pot1to19 : Digit -> Sub100 ;                  -- 10 + d
+  pot0as1 : Sub10 -> Sub100 ;                   -- coercion of 1..9
+  pot1 : Digit -> Sub100 ;                      -- d * 10
+  pot1plus : Digit -> Sub10 -> Sub100 ;         -- d * 10 + n
+  pot1as2 : Sub100 -> Sub1000 ;                 -- coercion of 1..99
+  pot2 : Sub10 -> Sub1000 ;                     -- m * 100
+  pot2plus : Sub10 -> Sub100 -> Sub1000 ;       -- m * 100 + n
+  pot2as3 : Sub1000 -> Sub1000000 ;             -- coercion of 1..999
+  pot3 : Sub1000 -> Sub1000000 ;                -- m * 1000
+  pot3plus : Sub1000 -> Sub1000 -> Sub1000000 ; -- m * 1000 + n
+
+-- Numerals as sequences of digits have a separate, simpler grammar
+
+  cat 
+    Dig ;  -- single digit 0..9
+
+  fun
+    IDig  : Dig -> Digits ;       -- 8
+    IIDig : Dig -> Digits -> Digits ; -- 876
+
+    D_0, D_1, D_2, D_3, D_4, D_5, D_6, D_7, D_8, D_9 : Dig ;
+
+}