diff options
Diffstat (limited to 'tree-gen-lambda.tex')
| -rw-r--r-- | tree-gen-lambda.tex | 64 |
1 files changed, 48 insertions, 16 deletions
diff --git a/tree-gen-lambda.tex b/tree-gen-lambda.tex index d7cce70..e39a558 100644 --- a/tree-gen-lambda.tex +++ b/tree-gen-lambda.tex @@ -3,19 +3,51 @@ \justifies{}\trans{\StmPush~\texttt{""}:\StmOutput}{\Nil}{\left(\Nil,\emptyset\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rpushns}\] \justifies{}\trans{\StmExec}{\Nil}{\left(\texttt{"\textquotedblright{}\textquotedblright{}o"}:\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}o"},\texttt{"input"}\mapsto\texttt{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rexecns}\] \justifies{}\trans{\StmGet:\StmExec}{\Nil}{\left(\texttt{""}:\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}o"},\texttt{"input"}\mapsto\texttt{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rgetns}\] -\justifies{}\trans{\StmGet:\StmGet:\StmExec}{\Nil}{\left(\texttt{"input"}:\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}o"},\texttt{"input"}\mapsto\texttt{""}\}\right)}{\Nil}{\texttt{""}:\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{"input"}\mapsto\texttt{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rpushns}\] -\justifies{}\trans{\StmPut:\StmPush~\texttt{"input"}:\StmGet:\StmGet:\StmExec}{\Nil}{\left(\texttt{""}:\texttt{"\textquotedblright{}\textquotedblright{}o"}:\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}\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{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rputns}\] -\justifies{}\trans{\StmPush~\texttt{""}:\StmPut:\StmPush~\texttt{"input"}:\StmGet:\StmGet:\StmExec}{\Nil}{\left(\texttt{"\textquotedblright{}\textquotedblright{}o"}:\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}\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{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rpushns}\] -\justifies{}\trans{\StmPush~\texttt{"\textquotedblright{}\textquotedblright{}o"}:\StmPush~\texttt{""}:\StmPut:\StmPush~\texttt{"input"}:\StmGet:\StmGet:\StmExec}{\Nil}{\left(\Nil,\{\texttt{""}\mapsto\texttt{"\textquotedblright{}\textquotedblright{}\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{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rpushns}\] -\justifies{}\trans{\StmPut:\StmPush~\texttt{"\textquotedblright{}\textquotedblright{}o"}:\StmPush~\texttt{""}:\StmPut:\StmPush~\texttt{"input"}:\StmGet:\StmGet:\StmExec}{\Nil}{\left(\texttt{""}:\texttt{"\textquotedblright{}\textquotedblright{}\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{"input"}\mapsto\texttt{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rputns}\] -\justifies{}\trans{\StmGet:\StmPut:\StmPush~\texttt{"\textquotedblright{}\textquotedblright{}o"}:\StmPush~\texttt{""}:\StmPut:\StmPush~\texttt{"input"}:\StmGet:\StmGet:\StmExec}{\Nil}{\left(\texttt{"input"}:\texttt{"\textquotedblright{}\textquotedblright{}\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{"input"}\mapsto\texttt{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rgetns}\] -\justifies{}\trans{\StmPush~\texttt{"input"}:\StmGet:\StmPut:\StmPush~\texttt{"\textquotedblright{}\textquotedblright{}o"}:\StmPush~\texttt{""}:\StmPut:\StmPush~\texttt{"input"}:\StmGet:\StmGet:\StmExec}{\Nil}{\left(\texttt{"\textquotedblright{}\textquotedblright{}\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{"input"}\mapsto\texttt{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rpushns}\] -\justifies{}\trans{\StmCat:\StmPush~\texttt{"input"}:\StmGet:\StmPut:\StmPush~\texttt{"\textquotedblright{}\textquotedblright{}o"}:\StmPush~\texttt{""}:\StmPut:\StmPush~\texttt{"input"}:\StmGet:\StmGet:\StmExec}{\Nil}{\left(\texttt{"\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{"\textquotedblright{}\textquotedblright{}"}:\Nil,\{\texttt{"input"}\mapsto\texttt{""}\}\right)}{\Nil}{\texttt{""}:\Nil}{\left(\Nil,\emptyset\right)}\using{\rcatns}\] 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