Journal/document/root.tex
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    56 are inductive datatypes. Also convenient operations for disjoint unions of
    56 are inductive datatypes. Also convenient operations for disjoint unions of
    57 graphs, matrices and functions are not easily formalisiable in HOL. In contrast, regular
    57 graphs, matrices and functions are not easily formalisiable in HOL. In contrast, regular
    58 expressions can be defined conveniently as a datatype and a corresponding
    58 expressions can be defined conveniently as a datatype and a corresponding
    59 reasoning infrastructure comes for free. We show in this paper that a central
    59 reasoning infrastructure comes for free. We show in this paper that a central
    60 result from formal language theory---the Myhill-Nerode theorem---can be
    60 result from formal language theory---the Myhill-Nerode theorem---can be
    61 recreated using only regular expressions.
    61 recreated using only regular expressions. From this theorem many closure
       
    62 properties of regular languages follow.
    62 \end{abstract}
    63 \end{abstract}
    63 \maketitle
    64 \maketitle
    64 
    65 
    65 \input{session}
    66 \input{session}
    66 
    67