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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 |
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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 |