Branchbound: Uncomputable Garden
Two bounded mathematical experiments: step through small Turing machines, then build labelled-tree sequences. Every limit is disclosed; this DLC does not compute Busy Beaver generally or TREE(3).
- Release date
- October 15, 2026
- Platforms
- Windows, macOS, Linux
- Developer
- Digitable, Marat Zimnurov
- Publisher
- Marat Zimnurov
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About Branchbound: Uncomputable Garden
Branchbound: Uncomputable GardenOpen a small mathematical laboratory inside Branchbound and experiment with ideas whose full versions grow beyond any ordinary game. Busy Beaver LabPredict a curated two-symbol Turing machine, reveal its finite execution step by step, and compare the observed runtime and tape marks with the disclosed limit.
Forbidden TreesBuild a bounded sequence of finite labelled rooted trees. A choice is forbidden when an earlier accepted tree embeds into it while preserving labels and branches. Finite by designEvery bound is shown. ‘Still running at the limit’ never means ‘never halts’.
The DLC does not compute Busy Beaver generally and does not compute or approximate TREE(3). Two deterministic, replayable experiments. Fully offline; no account, server, consumables, or runtime AI. Requires the base game Branchbound.
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