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\documentclass[11pt]{article}
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\usepackage{dina4}
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\usepackage{my}
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\usepackage{latexsym,amssymb}
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%\usepackage[final]{graphics}
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\newcommand{\FN}[1]{FN(#1)} % free name
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\newcommand{\FC}[1]{FC(#1)} % free co-name
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\renewcommand{\refname}{\-}
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\begin{document}
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\section*{Inference Rules of G4ip (LJT)}
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\begin{figure}[h]
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\begin{center}
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\begin{FramedTitled}{\-}
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\centering
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\def\arraystretch{3.0}
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\begin{tabular}{cc}
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\infer[Axiom]{\sequ{A,\Gamm}{A}}{} &
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\infer[${\em false}-L$]{\sequ{\mbox{\em false},\Gamm}{G}}{}\\[-8mm]
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($A$ being atomic) \\
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\infer[\&$-L$]{\sequ{B \& C,\Gamm}{G}}
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{\sequ{B,C,\Gamm}{G}} &
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\infer[\&$-R$]{\sequ{\Gamm}{B \& C}}
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{ \sequ{\Gamm}{B}
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& \sequ{\Gamm}{C}}\\
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\infer[\OR$-L$]
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{\sequ{B\OR C,\Gamm}{G}}
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{ \sequ{B,\Gamm}{G}
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&\sequ{C,\Gamm}{G}} &
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\infer[\OR$-R$_1]
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{\sequ{\Gamm}{B\OR C}}
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{\sequ{\Gamm}{B}}\hspace{3mm}
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\infer[\OR$-R$_2]
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{\sequ{\Gamm}{B\OR C}}
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{\sequ{\Gamm}{C}}\\
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\infer[\mbox{\tt ->}$-L$_1]
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{\sequ{A\mbox{\tt ->} B,A,\Gamm}{G}}
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{\sequ{B,A,\Gamm}{G}} &
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\infer[\mbox{\tt ->}$-R$]
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{\sequ{\Gamm}{B\mbox{\tt ->} C}}
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{ \sequ{B,\Gamm}{C}}\\[-8mm]
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($A$ being atomic)\\
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\multicolumn{2}{c}{
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\infer[\mbox{\tt ->}$-L$_2]
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{\sequ{(C \& D)\mbox{\tt ->} B,\Gamm}{G}}
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{\sequ{C \mbox{\tt ->} (D \mbox{\tt ->} B)\Gamm}{G}}} \\
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\multicolumn{2}{c}{
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\infer[\mbox{\tt ->}$-L$_3]
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{\sequ{(C\OR D)\mbox{\tt ->} B\Gamm}{G}}
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{\sequ{C\mbox{\tt ->}B,D\mbox{\tt ->}B,\Gamm}{G}}}\\
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\multicolumn{2}{c}{
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\infer[\mbox{\tt ->}$-L$_4]
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{\sequ{(C\mbox{\tt ->} D)\mbox{\tt ->} B\Gamm}{G}}
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{\sequ{D\mbox{\tt ->}B,\Gamm}{C\mbox{\tt ->} D} &
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\sequ{B,\Gamm}{G}} }\\
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%\infer[\mbox{\tt <->}$-L$]
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% {\sequ{B\mbox{\tt <->} C,\Gamm}{G}}
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% {\sequ{B\mbox{\tt ->} C, C\mbox{\tt ->} B,\Gamm}{G}
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% } &
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%\infer[\mbox{\tt <->}$-R$]
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% {\sequ{\Gamm}{B\mbox{\tt <->} C}}
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% { \sequ{\Gamm}{B\mbox{\tt ->} C} &
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% \sequ{\Gamm}{C\mbox{\tt ->} B} }\\
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\multicolumn{2}{c}
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{ $B\mbox{\tt <->}C$ is defined as $B\mbox{\tt ->}C \& C\mbox{\tt ->}B$
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}
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\end{tabular}
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\end{FramedTitled}
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\caption{Inference rules for G4ip; see for example \cite{Dyckhoff92}.}
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\label{fig:CL}
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\end{center}
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\end{figure}
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\bibliography{/home/cu200/tex/bib/all}
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\bibliographystyle{fullnames}
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\end{document}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "G4ip.tex"
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%%% End:
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