diff options
author | Camil Staps | 2016-06-11 18:36:39 +0200 |
---|---|---|
committer | Camil Staps | 2016-06-11 18:36:39 +0200 |
commit | c9581e1e3765fa83a30166246ca5418ca6c4cc51 (patch) | |
tree | ab745d54aa2c0bbe92f0161eae2e03a07d89e9aa /tree-gen-bootstrap.tex | |
parent | Added the explanation of the recursive inner program (diff) |
Nieuwe bomen
Diffstat (limited to 'tree-gen-bootstrap.tex')
-rw-r--r-- | tree-gen-bootstrap.tex | 80 |
1 files changed, 59 insertions, 21 deletions
diff --git a/tree-gen-bootstrap.tex b/tree-gen-bootstrap.tex index 1f00d49..e13e2fc 100644 --- a/tree-gen-bootstrap.tex +++ b/tree-gen-bootstrap.tex @@ -1,21 +1,59 @@ -\[\[\[\[\[\[\[\[\[\[\[\[\[\[\[\[\[\[\[\[\axjustifies\trans{\StmPush~\texttt{""}:\StmPush~\texttt{"\textquotedblright{}u\textquotedblright{}p\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gh\textquotedblright{}v\textquotedblright{}g+\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gt\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}g\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}o\textquotedblright{}+\textquotedblright{}w\textquotedblright{}gq\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}u\textquotedblright{}gq++\textquotedblright{}u\textquotedblright{}g+\textquotedblright{}w\textquotedblright{}gp\textquotedblright{}\textquotedblright{}pgx"}:\StmPush~\texttt{"u"}:\StmPut:\StmPush~\texttt{"v"}:\StmPut:\StmPush~\texttt{"w"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmHead:\StmPush~\texttt{"v"}:\StmGet:\StmCat:\StmPush~\texttt{"v"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmTail:\StmPush~\texttt{"w"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmPush~\texttt{"v"}:\StmGet:\StmQuotify:\StmPush~\texttt{"o"}:\StmCat:\StmPush~\texttt{"w"}:\StmGet:\StmQuotify:\StmPush~\texttt{"v"}:\StmGet:\StmQuotify:\StmPush~\texttt{"u"}:\StmGet:\StmQuotify:\StmCat:\StmCat:\StmPush~\texttt{"u"}:\StmGet:\StmCat:\StmPush~\texttt{"w"}:\StmGet:\StmPut:\StmPush~\texttt{""}:\StmPut:\StmGet:\StmExec}{\Nil}{\left(\texttt{"$s$"}:\texttt{"c"}:\Nil,\emptyset\right)}{\Nil}{\texttt{"$s^R$c"}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rule{assumption}{}}\] -\justifies{}\trans{\StmPush~\texttt{"$s$"}:\StmPush~\texttt{""}:\StmPush~\texttt{"\textquotedblright{}u\textquotedblright{}p\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gh\textquotedblright{}v\textquotedblright{}g+\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gt\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}g\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}o\textquotedblright{}+\textquotedblright{}w\textquotedblright{}gq\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}u\textquotedblright{}gq++\textquotedblright{}u\textquotedblright{}g+\textquotedblright{}w\textquotedblright{}gp\textquotedblright{}\textquotedblright{}pgx"}:\StmPush~\texttt{"u"}:\StmPut:\StmPush~\texttt{"v"}:\StmPut:\StmPush~\texttt{"w"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmHead:\StmPush~\texttt{"v"}:\StmGet:\StmCat:\StmPush~\texttt{"v"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmTail:\StmPush~\texttt{"w"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmPush~\texttt{"v"}:\StmGet:\StmQuotify:\StmPush~\texttt{"o"}:\StmCat:\StmPush~\texttt{"w"}:\StmGet:\StmQuotify:\StmPush~\texttt{"v"}:\StmGet:\StmQuotify:\StmPush~\texttt{"u"}:\StmGet:\StmQuotify:\StmCat:\StmCat:\StmPush~\texttt{"u"}:\StmGet:\StmCat:\StmPush~\texttt{"w"}:\StmGet:\StmPut:\StmPush~\texttt{""}:\StmPut:\StmGet:\StmExec}{\Nil}{\left(\texttt{"c"}:\Nil,\emptyset\right)}{\Nil}{\texttt{"$s^R$c"}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rpushns}\] -\justifies{}\trans{\StmPush~\texttt{"c"}:\StmPush~\texttt{"$s$"}:\StmPush~\texttt{""}:\StmPush~\texttt{"\textquotedblright{}u\textquotedblright{}p\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gh\textquotedblright{}v\textquotedblright{}g+\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gt\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}g\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}o\textquotedblright{}+\textquotedblright{}w\textquotedblright{}gq\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}u\textquotedblright{}gq++\textquotedblright{}u\textquotedblright{}g+\textquotedblright{}w\textquotedblright{}gp\textquotedblright{}\textquotedblright{}pgx"}:\StmPush~\texttt{"u"}:\StmPut:\StmPush~\texttt{"v"}:\StmPut:\StmPush~\texttt{"w"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmHead:\StmPush~\texttt{"v"}:\StmGet:\StmCat:\StmPush~\texttt{"v"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmTail:\StmPush~\texttt{"w"}:\StmPut:\StmPush~\texttt{"w"}:\StmGet:\StmPush~\texttt{"v"}:\StmGet:\StmQuotify:\StmPush~\texttt{"o"}:\StmCat:\StmPush~\texttt{"w"}:\StmGet:\StmQuotify:\StmPush~\texttt{"v"}:\StmGet:\StmQuotify:\StmPush~\texttt{"u"}:\StmGet:\StmQuotify:\StmCat:\StmCat:\StmPush~\texttt{"u"}:\StmGet:\StmCat:\StmPush~\texttt{"w"}:\StmGet:\StmPut:\StmPush~\texttt{""}:\StmPut:\StmGet:\StmExec}{\Nil}{\left(\Nil,\emptyset\right)}{\Nil}{\texttt{"$s^R$c"}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rpushns}\] -\justifies{}\trans{\StmExec}{\Nil}{\left(\texttt{"\textquotedblright{}c\textquotedblright{}\textit{q}($s$)\textquotedblright{}\textquotedblright{}\textquotedblright{}\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gh\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gt\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}g\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}o\textbackslash{}\textquotedblright{}+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}gq++\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gp\textbackslash{}\textquotedblright{}\textbackslash{}\textquotedblright{}pgx\textquotedblright{}\textquotedblright{}u\textquotedblright{}p\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gh\textquotedblright{}v\textquotedblright{}g+\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gt\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}g\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}o\textquotedblright{}+\textquotedblright{}w\textquotedblright{}gq\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}u\textquotedblright{}gq++\textquotedblright{}u\textquotedblright{}g+\textquotedblright{}w\textquotedblright{}gp\textquotedblright{}\textquotedblright{}pgx"}:\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}o"},\texttt{"c$s$"}\mapsto\texttt{"\textquotedblright{}c\textquotedblright{}\textit{q}($s$)\textquotedblright{}\textquotedblright{}\textquotedblright{}\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gh\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gt\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}g\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}o\textbackslash{}\textquotedblright{}+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}gq++\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gp\textbackslash{}\textquotedblright{}\textbackslash{}\textquotedblright{}pgx\textquotedblright{}\textquotedblright{}u\textquotedblright{}p\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gh\textquotedblright{}v\textquotedblright{}g+\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gt\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}g\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}o\textquotedblright{}+\textquotedblright{}w\textquotedblright{}gq\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}u\textquotedblright{}gq++\textquotedblright{}u\textquotedblright{}g+\textquotedblright{}w\textquotedblright{}gp\textquotedblright{}\textquotedblright{}pgx"},\texttt{"input"}\mapsto\texttt{"c$s$"}\}\right)}{\Nil}{\texttt{"$s^R$c"}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rexecns}\] -\justifies{}\trans{\StmGet:\StmExec}{\Nil}{\left(\texttt{"c$s$"}:\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}o"},\texttt{"c$s$"}\mapsto\texttt{"\textquotedblright{}c\textquotedblright{}\textit{q}($s$)\textquotedblright{}\textquotedblright{}\textquotedblright{}\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gh\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gt\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}g\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}o\textbackslash{}\textquotedblright{}+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}gq++\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gp\textbackslash{}\textquotedblright{}\textbackslash{}\textquotedblright{}pgx\textquotedblright{}\textquotedblright{}u\textquotedblright{}p\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gh\textquotedblright{}v\textquotedblright{}g+\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gt\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}g\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}o\textquotedblright{}+\textquotedblright{}w\textquotedblright{}gq\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}u\textquotedblright{}gq++\textquotedblright{}u\textquotedblright{}g+\textquotedblright{}w\textquotedblright{}gp\textquotedblright{}\textquotedblright{}pgx"},\texttt{"input"}\mapsto\texttt{"c$s$"}\}\right)}{\Nil}{\texttt{"$s^R$c"}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rgetns}\] -\justifies{}\trans{\StmGet:\StmGet:\StmExec}{\Nil}{\left(\texttt{"input"}:\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}o"},\texttt{"c$s$"}\mapsto\texttt{"\textquotedblright{}c\textquotedblright{}\textit{q}($s$)\textquotedblright{}\textquotedblright{}\textquotedblright{}\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gh\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gt\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}g\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}o\textbackslash{}\textquotedblright{}+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}gq++\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gp\textbackslash{}\textquotedblright{}\textbackslash{}\textquotedblright{}pgx\textquotedblright{}\textquotedblright{}u\textquotedblright{}p\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gh\textquotedblright{}v\textquotedblright{}g+\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gt\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}g\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}o\textquotedblright{}+\textquotedblright{}w\textquotedblright{}gq\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}u\textquotedblright{}gq++\textquotedblright{}u\textquotedblright{}g+\textquotedblright{}w\textquotedblright{}gp\textquotedblright{}\textquotedblright{}pgx"},\texttt{"input"}\mapsto\texttt{"c$s$"}\}\right)}{\Nil}{\texttt{"$s^R$c"}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rgetns}\] -\justifies{}\trans{\StmPush~\texttt{"input"}:\StmGet:\StmGet:\StmExec}{\Nil}{\left(\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}o"},\texttt{"c$s$"}\mapsto\texttt{"\textquotedblright{}c\textquotedblright{}\textit{q}($s$)\textquotedblright{}\textquotedblright{}\textquotedblright{}\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gh\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gt\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}p\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}g\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}o\textbackslash{}\textquotedblright{}+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}v\textbackslash{}\textquotedblright{}gq\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}gq++\textbackslash{}\textquotedblright{}u\textbackslash{}\textquotedblright{}g+\textbackslash{}\textquotedblright{}w\textbackslash{}\textquotedblright{}gp\textbackslash{}\textquotedblright{}\textbackslash{}\textquotedblright{}pgx\textquotedblright{}\textquotedblright{}u\textquotedblright{}p\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gh\textquotedblright{}v\textquotedblright{}g+\textquotedblright{}v\textquotedblright{}p\textquotedblright{}w\textquotedblright{}gt\textquotedblright{}w\textquotedblright{}p\textquotedblright{}w\textquotedblright{}g\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}o\textquotedblright{}+\textquotedblright{}w\textquotedblright{}gq\textquotedblright{}v\textquotedblright{}gq\textquotedblright{}u\textquotedblright{}gq++\textquotedblright{}u\textquotedblright{}g+\textquotedblright{}w\textquotedblright{}gp\textquotedblright{}\textquotedblright{}pgx"},\texttt{"input"}\mapsto\texttt{"c$s$"}\}\right)}{\Nil}{\texttt{"$s^R$c"}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rpushns}\] 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