Est SQL ou même TSQL Turing?

Un langage de programmation est dit pour être Turing-complet s'il peut être démontré qu'il est mathématiquement équivalent à une machine de Turing.

Le TSQL Turing parce que nous pouvons faire un BrainFuck interprète en TSQL.

BrainFuck interprète dans SQL - GitHub

Le code fourni fonctionne en mémoire et de ne pas modifier une base de données.

-- Brain Fuck interpreter in SQL
DECLARE @Code  VARCHAR(MAX) = ', [>,] < [.<]'
DECLARE @Input VARCHAR(MAX) = '!dlroW olleH';
-- Creates a "BrainFuck" DataBase.
-- CREATE DATABASE BrainFuck;
-- Creates the Source code table
DECLARE @CodeTable TABLE (
[Id]      INT IDENTITY(1,1) PRIMARY KEY NOT NULL,
[Command] CHAR(1) NOT NULL
);
-- Populate the source code into CodeTable
DECLARE @CodeLen INT = LEN(@Code);
DECLARE @CodePos INT = 0;
DECLARE @CodeChar CHAR(1);
WHILE @CodePos < @CodeLen
BEGIN
SET @CodePos  = @CodePos + 1;
SET @CodeChar = SUBSTRING(@Code, @CodePos, 1);
IF @CodeChar IN ('+', '-', '>', '<', ',', '.', '[', ']')
INSERT INTO @CodeTable ([Command]) VALUES (@CodeChar)
END
-- Creates the Input table
DECLARE @InputTable TABLE (
[Id]   INT IDENTITY(1,1) PRIMARY KEY NOT NULL,
[Char] CHAR(1) NOT NULL
);
-- Populate the input text into InputTable
DECLARE @InputLen INT = LEN(@Input);
DECLARE @InputPos INT = 0;
WHILE @InputPos < @InputLen
BEGIN
SET @InputPos = @InputPos + 1;
INSERT INTO @InputTable ([Char])
VALUES (SUBSTRING(@Input, @InputPos, 1))
END
-- Creates the Output table
DECLARE @OutputTable TABLE (
[Id]   INT IDENTITY(1,1) PRIMARY KEY NOT NULL,
[Char] CHAR(1) NOT NULL
);
-- Creates the Buffer table
DECLARE @BufferTable TABLE (
[Id]     INT IDENTITY(1,1) PRIMARY KEY NOT NULL,
[Memory] INT DEFAULT 0  NOT NULL
);
INSERT INTO @BufferTable ([Memory])
VALUES (0);
-- Initialization of temporary variables 
DECLARE @CodeLength INT = (SELECT COUNT(*) FROM @CodeTable);
DECLARE @CodeIndex  INT = 0;
DECLARE @Pointer    INT = 1;
DECLARE @InputIndex INT = 0;
DECLARE @Command    CHAR(1);
DECLARE @Depth      INT;
-- Main calculation cycle
WHILE @CodeIndex < @CodeLength
BEGIN
-- Read the next command.
SET @CodeIndex = @CodeIndex + 1;
SET @Command = (SELECT [Command] FROM @CodeTable WHERE [Id] = @CodeIndex);
-- Increment the pointer.
IF @Command = '>'
BEGIN
SET @Pointer = @Pointer + 1;
IF (SELECT [Id] FROM @BufferTable WHERE [Id] = @Pointer) IS NULL
INSERT INTO @BufferTable ([Memory]) VALUES (0);
END
-- Decrement the pointer.
ELSE IF @Command = '<'
SET @Pointer = @Pointer - 1;
-- Increment the byte at the pointer.
ELSE IF @Command = '+'
UPDATE @BufferTable SET [Memory] = [Memory] + 1 WHERE [Id] = @Pointer;
-- Decrement the byte at the pointer.
ELSE IF @Command = '-'
UPDATE @BufferTable SET [Memory] = [Memory] - 1 WHERE [Id] = @Pointer;
-- Output the byte at the pointer.
ELSE IF @Command = '.'
INSERT INTO @OutputTable ([Char]) (SELECT CHAR([Memory]) FROM @BufferTable WHERE [Id] = @Pointer);
-- Input a byte and store it in the byte at the pointer.
ELSE IF @Command = ','
BEGIN
SET @InputIndex = @InputIndex + 1;
UPDATE @BufferTable SET [Memory] = COALESCE((SELECT ASCII([Char]) FROM @InputTable WHERE [Id] = @InputIndex), 0) WHERE [Id] = @Pointer;
END
-- Jump forward past the matching ] if the byte at the pointer is zero.
ELSE IF @Command = '[' AND COALESCE((SELECT [Memory] FROM @BufferTable WHERE [Id] = @Pointer), 0) = 0
BEGIN
SET @Depth = 1;
WHILE @Depth > 0
BEGIN
SET @CodeIndex = @CodeIndex + 1;
SET @Command = (SELECT [Command] FROM @CodeTable WHERE [Id] = @CodeIndex);
IF @Command = '[' SET @Depth = @Depth + 1;
ELSE IF @Command = ']' SET @Depth = @Depth - 1;
END
END
-- Jump backwards to the matching [ unless the byte at the pointer is zero.
ELSE IF @Command = ']' AND COALESCE((SELECT [Memory] FROM @BufferTable WHERE [Id] = @Pointer), 0) != 0
BEGIN
SET @Depth = 1;
WHILE @Depth > 0
BEGIN
SET @CodeIndex = @CodeIndex - 1;
SET @Command = (SELECT [Command] FROM @CodeTable WHERE [Id] = @CodeIndex);
IF @Command = ']' SET @Depth = @Depth + 1;
ELSE IF @Command = '[' SET @Depth = @Depth - 1;
END
END
END;
-- Collects and prints the output
DECLARE @Output VARCHAR(MAX);
SELECT @Output = COALESCE(@Output, '') + [Char]
FROM @OutputTable;
PRINT @Output;
Go

À proprement parler, le SQL est maintenant une turing langue, parce que la dernière version de SQL standard inclut les "Persistante Stockées les Modules" (Mps). En bref, un PSM est la version standard de la PL/SQL Oracle (et d'autres incidents de procédure extensions de courant SGBD).

Avec l'inclusion de ces Mps, SQL est devenu turing