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⚗️ Research Repository
This is an experimental/research repository. Code here is exploratory and not production-ready. For production systems, see BlackRoad-OS.
This repository contains an implementation of a universal Turing machine in Python. A universal Turing machine is a theoretical device capable of simulating any other Turing machine. In other words, it can compute anything that is computable. The implementation here is simple and educational; it demonstrates the principles of universality and emulation in a compact form.
The core of the project is a Turing machine simulator that reads a description of another machine and an input tape, then executes that machine's transition function step by step. The simulator supports tapes of unbounded length in both directions and maintains a set of states, including a halting state. The universal machine itself accepts programs encoded as tables of transitions.
- Tape representation: The tape is implemented as a Python dictionary mapping integer positions to symbols. Positions not present in the dictionary are assumed to hold a blank symbol (
'_'). - Transition function: Each transition is a mapping from
(current_state, current_symbol)to(next_state, write_symbol, move_direction), wheremove_directionis'L','R', or'S'(stay). - Machine description format: Machine descriptions are loaded from JSON files. A description includes the set of states, the input alphabet, the blank symbol, the transition function, the start state, and the halting state.
- Simulation: The simulator runs the machine until it reaches the halting state or exceeds a configurable step limit. It yields the final tape contents and the number of steps executed.
To use the universal Turing machine, first prepare a JSON file describing the machine you want to simulate (see machines/ for examples), then run:
python3 utm.py machines/your_machine.json --tape "your input tape here"
For example, to run a binary incrementer:
python3 utm.py machines/incrementer.json --tape "1101"
This will increment the binary number 1101 (13) to 1110 (14).
utm.py– the universal Turing machine simulator.machines/– sample machine descriptions in JSON format.README.md– this file.
The repository includes a few sample machine descriptions:
incrementer.json– a machine that increments a binary number.even_odd.json– a machine that decides whether a unary number has an even or odd number of symbols.
Feel free to add more machines to the machines/ directory to explore the power of Turing machines!
This project is released under the MIT License. See LICENSE for details.
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