File size: 1,443 Bytes
ebed3db
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
-- SPARK SUBLEQ Attention — generated by granite-code:3b via Ollama
-- Replaces softmax with deterministic [A,B,C] memory address outputs
-- SPARK contracts prove no runtime errors

package Attention
  with SPARK_Mode => On
is

   type Memory_Address is range 0 .. 65535;
   type Memory_Array is array (Memory_Address) of Integer;

   type Triad is record
      A : Memory_Address;
      B : Memory_Address;
      C : Memory_Address;
   end record;

   type Head_Index is range 1 .. 64;
   type Triad_Array is array (Head_Index range <>) of Triad;

   procedure Compute_Attention (Query  : in     Memory_Address;
                                Key    : in     Memory_Address;
                                Value  : in out Memory_Address;
                                Mem    : in out Memory_Array;
                                Result : out    Triad)
     with Pre  => Query /= Key and Key /= Value,
          Post => Result.A = Query and Result.B = Key;

   function SUBLEQ_Step (Mem : in out Memory_Array;
                         T   : Triad) return Memory_Address
     with Post => (if Mem(T.B) <= 0 then SUBLEQ_Step'Result = T.C
                   else SUBLEQ_Step'Result = T.A + 3);

   procedure Run_Attention_Layer (Mem    : in out Memory_Array;
                                  Heads  : in     Triad_Array;
                                  Output : out    Memory_Address)
     with Pre => Heads'Length > 0;

end Attention;