| author | lcp |
| Tue, 21 Jun 1994 17:20:34 +0200 | |
| changeset 435 | ca5356bd315a |
| parent 243 | c22b85994e17 |
| child 442 | 13ac1fd0a14d |
| permissions | -rw-r--r-- |
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(* Title: HOLCF/pcpo.thy |
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ID: $Id$ |
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Author: Franz Regensburger |
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Copyright 1993 Technische Universitaet Muenchen |
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Definition of class pcpo (pointed complete partial order) |
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The prototype theory for this class is porder.thy |
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*) |
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Pcpo = Porder + |
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(* Introduction of new class. The witness is type void. *) |
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classes pcpo < po |
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(* default class is still term *) |
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(* void is the prototype in pcpo *) |
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arities void :: pcpo |
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consts |
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UU :: "'a::pcpo" (* UU is the least element *) |
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rules |
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(* class axioms: justification is theory Porder *) |
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minimal "UU << x" (* witness is minimal_void *) |
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cpo "is_chain(S) ==> ? x. range(S) <<| x::('a::pcpo)"
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(* witness is cpo_void *) |
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(* needs explicit type *) |
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(* instance of UU for the prototype void *) |
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inst_void_pcpo "UU::void = UU_void" |
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end |