Reductions are the main transport mechanism for impossibility results. Instead of proving every undecidable problem from scratch by diagonalization, we transform known hard instances into new ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...

All results are machine-checked in Lean 4 with a zero-sorry policy on proof targets. See MANIFEST.md for the sorry audit (if present). Phase III of the APS interface program — the final module where ...