diff -r 1ce74a77fa2a -r 0b302c0b449a Paper/document/root.tex --- a/Paper/document/root.tex Tue Feb 05 12:41:00 2013 +0000 +++ b/Paper/document/root.tex Wed Feb 06 02:25:00 2013 +0000 @@ -54,7 +54,7 @@ precludes \emph{direct} reasoning about computability: every boolean predicate is either true or false because of the law of excluded middle. The only way to reason about computability in a classical -theorem prover is to formalise a concrete model for computation. We +theorem prover is to formalise a concrete model of computation. We formalise Turing machines and relate them to abacus machines and recursive functions. We also formalise a universal Turing machine and Hoare-style reasoning techniques that allow us to reason about Turing machine