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
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
|
------------------------------------------------------------------------------
-- --
-- GNAT COMPILER COMPONENTS --
-- --
-- S Y S T E M . S P A R K . C U T _ O P E R A T I O N S --
-- --
-- S p e c --
-- --
-- Copyright (C) 2022-2023, Free Software Foundation, Inc. --
-- --
-- GNAT is free software; you can redistribute it and/or modify it under --
-- terms of the GNU General Public License as published by the Free Soft- --
-- ware Foundation; either version 3, or (at your option) any later ver- --
-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
-- or FITNESS FOR A PARTICULAR PURPOSE. --
-- --
-- As a special exception under Section 7 of GPL version 3, you are granted --
-- additional permissions described in the GCC Runtime Library Exception, --
-- version 3.1, as published by the Free Software Foundation. --
-- --
-- You should have received a copy of the GNU General Public License and --
-- a copy of the GCC Runtime Library Exception along with this program; --
-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
-- <http://www.gnu.org/licenses/>. --
-- --
-- GNAT was originally developed by the GNAT team at New York University. --
-- Extensive contributions were provided by Ada Core Technologies Inc. --
-- --
------------------------------------------------------------------------------
-- By and So are connectors used to manually help the proof of assertions by
-- introducing intermediate steps. They can only be used inside pragmas
-- Assert or Assert_And_Cut. They are handled in the following way:
--
-- * If A and B are two boolean expressions, proving By (A, B) requires
-- proving B, the premise, and then A assuming B, the side-condition. When
-- By (A, B) is assumed on the other hand, we only assume A. B is used
-- for the proof, but is not visible afterward.
--
-- * If A and B are two boolean expressions, proving So (A, B) requires
-- proving A, the premise, and then B assuming A, the side-condition. When
-- So (A, B) is assumed both A and B are assumed to be true.
package System.SPARK.Cut_Operations with
SPARK_Mode,
Pure,
Always_Terminates
is
function By (Consequence, Premise : Boolean) return Boolean with
Ghost,
Global => null;
function So (Premise, Consequence : Boolean) return Boolean with
Ghost,
Global => null;
end System.SPARK.Cut_Operations;
|