Merge branch 'master' of github.com:dhil/phd-dissertation

thesis.tex

@@ -4383,7 +4383,7 @@ the programmer, from continuations in continuation passing style
 (Chapter~\ref{ch:cps}) and continuations in abstract machines
 (Chapter~\ref{ch:abstract-machine}). In the remainder of this
 dissertation I refer to programmatic continuations as `resumptions',
-and reserve the term `continuation' for continuations concerning the
+and reserve the term `continuation' for continuations concerning
 implementation details.
 
 \paragraph{Relation to prior work} The deep and shallow handler
@@ -5394,7 +5394,7 @@ above computations are run concurrently.
            \qquad\qquad\sessionmgr\,\Record{\Root;\lambda\Unit.\\
              \qquad\qquad\qquad\status\,(\lambda\Unit.
                  \ba[t]{@{}l}
-                   \If\;\fork~\Unit\;\Then\;
+                   \If\;\fork\,\Unit\;\Then\;
                        \su~\Alice;\,
                        \quoteRitchie~\Unit\\
                    \Else\;
@@ -5671,7 +5671,7 @@ happens.
          \qquad\qquad\qquad\sessionmgr\,\Record{\Root;\lambda\Unit.\\
          \qquad\qquad\qquad\qquad\status\,(\lambda\Unit.
                  \ba[t]{@{}l}
-                   \If\;\fork~\Unit\;\Then\;
+                   \If\;\fork\,\Unit\;\Then\;
                        \su~\Alice;\,
                        \quoteRitchie~\Unit\\
                    \Else\;
@@ -5701,8 +5701,8 @@ mishmash poetry of Shakespeare and \UNIX{}.
 %
 I will leave it to the reader to be the judge of whether this new
 poetry belongs under the category of either classic arts vandalism or
-novel contemporary reinterpretations.  As the idiom goes: \emph{art is
-  in the eye of the beholder}.
+novel contemporary reinterpretations.  As the saying goes: \emph{art
+  is in the eye of the beholder}.
 
 \subsection{State: file i/o}
 \label{sec:tiny-unix-io}
@@ -5953,7 +5953,7 @@ essential administrative structures for file organisation.
   files. In general, a file may have multiple names. Each name is
   stored along with a pointer into the i-list.
   \item The \emph{i-list} is a collection of i-nodes. Each i-node
-  contains the meta-data for a file along with a pointer into the data
+  contains the meta data for a file along with a pointer into the data
   region.
   \item The \emph{data region} contains the actual file contents.
 \end{enumerate}
@@ -5963,7 +5963,7 @@ These structures make up the \fsname{}.
 Figure~\ref{fig:unix-mappings} depicts an example with the three
 structures and a mapping between them.
 %
-The only file metadata tracked by \fsname{} is the number of names for
+The only file meta data tracked by \fsname{} is the number of names for
 a file.
 %
 The three structures and their mappings can be implemented using
@@ -5973,10 +5973,10 @@ have the advantage of having a simple, straightforward implementation.
 %
 \[
   \ba{@{~}l@{\qquad}c@{~}l}
-    \Directory \defas \List~\Record{\String;\Int} &&%
-    \DataRegion \defas \List~\Record{\Int;\UFile} \smallskip\\
+    \Directory \defas \List\,\Record{\String;\Int} &&%
+    \DataRegion \defas \List\,\Record{\Int;\UFile} \smallskip\\
     \INode \defas \Record{lno:\Int;loc:\Int}  &&%
-    \IList \defas \List~\Record{\Int;\INode}
+    \IList \defas \List\,\Record{\Int;\INode}
   \ea
 \]
 %
@@ -6147,7 +6147,7 @@ $\URead$ and $\UWrite$ operations.
                    \bl
                    \Let\;cs\revto \faild\,\Record{\None;\lambda\Unit.\\
                      \quad\Some\,(\fread\,\Record{ino;\Uget\,\Unit})}\\
-                     \In\;resume\,cs
+                     \In\;resume~cs
                    \el\\
                  \OpCase{\UWrite}{\Record{ino;cs}}{resume} &\mapsto&
                      \ba[t]{@{}l}
@@ -6172,7 +6172,7 @@ writing to a file. Again the file system state is retrieved using
 $\Uget$. The $\Uput$ operation is used to update the file system state
 with the state produced by the successful invocation of
 $\fwrite$. Failure is interpreted as unit, meaning that from the
-caller perspective the operation fails silently.
+caller's perspective the operation fails silently.
 
 \paragraph{File creation and opening}
 The signature of file creation and opening is unsurprisingly comprised
@@ -6212,7 +6212,7 @@ from the functions we already have at our disposal.
 %
 \[
   \bl
-    \dec{has} : \Record{\alpha;\List~\Record{\alpha;\beta}} \to \Bool\\
+    \dec{has} : \Record{\alpha;\List\,\Record{\alpha;\beta}} \to \Bool\\
     \dec{has}\,\Record{k;xs} \defas \faild\,\Record{\False;(\lambda\Unit.\lookup\,\Record{k;xs};\True)}
   \el
 \]
@@ -6269,11 +6269,11 @@ the new i-node. The last line returns the identifier for the i-node
 along with the modified file system, where the next location ($lnext$)
 and next i-node identifier ($inext$) have been incremented.
 %
-It is worth noting that the effect signature of $\dec{has}$ mentions
-$\Fail$ even though it will (most likely) never fail. It is present in
-the effect row due to the use of $\lookup$ in the $\Then$-branch. This
-application of $\lookup$ can only fail if the file system is in an
-inconsistent state, where the index $ino$ has become stale. The
+It is worth noting that the effect signature of $\fcreate$ mentions
+$\Fail$ even though it will never fail. It is present in the effect
+row due to the use of $\fopen$ and $\lookup$ in the
+$\Then$-branch. Either application can only fail if the file system is
+in an inconsistent state, where the index $ino$ has become stale. The
 $\dec{f}$-family of functions have been carefully engineered to always
 leave the file system in a consistent state.
 %
@@ -6297,13 +6297,13 @@ implementation of $\fileRW$.
                          \Let\;\Record{ino;fs} = \fcreate\,\Record{\,fname;\Uget\,\Unit}\\
                          \In\;\Uput~fs;\,\Some~ino}
                        \el\\
-                     \In\; resume\,ino
+                     \In\; resume~ino
                    \el\\
                  \OpCase{\UOpen}{fname}{resume} &\mapsto&
                    \ba[t]{@{}l}
                       \Let\; ino \revto \faild~\Record{\None; \lambda \Unit.\\
                         \quad\Some\,(\fopen\,\Record{fname;\Uget\,\Unit})}\\
-                      \In\;resume\,ino
+                      \In\;resume~ino
                    \ea
                \ea
          \ea
@@ -6333,7 +6333,7 @@ that allow us to redefine the target of $\Write$ operations locally.
         \ba[t]{@{}l}
         \Let\;ino \revto \Case\;\Do\;\UCreate~fname\;\{
           \ba[t]{@{~}l@{~}c@{~}l}
-            \None &\mapsto& \exit\,1\\
+            \None &\mapsto& \exit~1\\
             \Some~ino &\mapsto& ino\}
           \ea\\
           \In\;\Handle\;m\,\Unit\;\With\\
@@ -6407,7 +6407,7 @@ system in action.
          \qquad\qquad\sessionmgr\,\Record{\Root;\lambda\Unit.\\
          \qquad\qquad\quad\status\,(\lambda\Unit.
                  \ba[t]{@{}l}
-                   \If\;\fork~\Unit\;\Then\;
+                   \If\;\fork\,\Unit\;\Then\;
                        \su~\Alice;\,
                        \quoteRitchie~\redirect~\strlit{ritchie.txt}\\
                    \Else\;
@@ -6612,7 +6612,7 @@ implementation of \fsname{}.
   \bl
     \FileIO \defas \{\FileRW;\FileCO;\FileLU\} \medskip\\
     \fileIO : (\UnitType \to \alpha \eff \FileIO) \to \alpha \eff \State~\FileSystem \\
-    \fileIO~m \defas \fileRW\,(\lambda\Unit. \fileAlloc\,(\lambda\Unit.\fileLU\,m))
+    \fileIO~m \defas \fileRW\,(\lambda\Unit. \fileAlloc\,(\lambda\Unit.\fileLU~m))
   \el
 \]
 %
@@ -6686,7 +6686,7 @@ We can now plug it all together.
          \qquad\quad\sessionmgr\,\Record{\Root;\lambda\Unit.\\
          \qquad\qquad\status\,(\lambda\Unit.
                  \ba[t]{@{}l}
-                   \If\;\fork~\Unit\;\\
+                   \If\;\fork\,\Unit\;\\
                    \Then\;
                      \bl
                        \su~\Alice;\,