diff -r 0b9c893cfd1b -r 6b6d71d14e75 Paper/document/root.tex --- a/Paper/document/root.tex Mon Apr 01 21:38:53 2013 +0100 +++ b/Paper/document/root.tex Fri Apr 05 09:18:17 2013 +0100 @@ -62,8 +62,9 @@ universal function and obtaining from it a universal Turing machine by our verified translation from recursive functions to abacus programs and from abacus programs to Turing machine programs. Hoare-style reasoning techniques allow us -to reason about Turing machine and abacus programs. Our theory can be -used to formalise other computability results. +to reason about concrete Turing machine and abacus programs. +%Our theory can be +%used to formalise other computability results. %We give one example about the computational equivalence of %single-sided Turing machines. %{\it we give one example about the undecidability of Wang's tiling problem, whose proof uses