Diz-se que uma determinada linguagem de programação é completa em Turing se for demonstrado que é computacionalmente equivalente a uma máquina de Turing.
O TSQL é Turing Complete porque podemos fazer um intérprete BrainFuck no TSQL.
Intérprete de BrainFuck em SQL - GitHub
O código fornecido funciona na memória e não modifica um banco de dados.
-- 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