X-Git-Url: https://git.stderr.nl/gitweb?p=matthijs%2Fmaster-project%2Freport.git;a=blobdiff_plain;f=Chapters%2FNormalization.tex;h=d564d231405a00ab7f31622ef525b15f987c2218;hp=433871013eced36c05be270707d14eceeed84646;hb=d92aa4307ca45f07c6ae50056e08ffc874839756;hpb=549db3f3ac20300b86403b0aa4320d7bf3945b5c diff --git a/Chapters/Normalization.tex b/Chapters/Normalization.tex index 4338710..d564d23 100644 --- a/Chapters/Normalization.tex +++ b/Chapters/Normalization.tex @@ -2240,11 +2240,13 @@ developed in the final part of the research, leaving no more time for verifying these properties. In fact, it is likely that the current transformation system still violates some of these - properties in some cases and should be improved (or extra conditions - on the input hardware descriptions should be formulated). + properties in some cases (see + \in{section}[sec:normalization:non-determinism] and + \in{section}[sec:normalization:stateproblems]) and should be improved (or + extra conditions on the input hardware descriptions should be formulated). This is most likely the case with the completeness and determinism - properties, perhaps als the termination property. The soundness + properties, perhaps also the termination property. The soundness property probably holds, since it is easier to manually verify (each transformation can be reviewed separately). @@ -2441,7 +2443,7 @@ each node in the normal set is also in the intended normal set. Reasoning about our intended normal set is easier, since we know how to generate it from its definition. \refdef{intended normal - form definition}. + form definition} Fortunately, we can also prove the complement (which is equivalent, since $A \subseteq B \Leftrightarrow \overline{B}