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(* Title: HOLCF/IOA/TrivEx.thy
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ID: $Id$
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Author: Olaf Mueller
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Copyright 1995 TU Muenchen
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Trivial Abstraction Example with fairness
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*)
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4816
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TrivEx2 = Abstraction + IOA +
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4559
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datatype action = INC
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consts
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C_asig :: action signature
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C_trans :: (action, nat)transition set
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C_ioa :: (action, nat)ioa
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C_live_ioa :: (action, nat)live_ioa
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A_asig :: action signature
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A_trans :: (action, bool)transition set
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A_ioa :: (action, bool)ioa
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A_live_ioa :: (action, bool)live_ioa
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h_abs :: "nat => bool"
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defs
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C_asig_def
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"C_asig == ({},{INC},{})"
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C_trans_def "C_trans ==
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{tr. let s = fst(tr);
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t = snd(snd(tr))
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in case fst(snd(tr))
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of
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INC => t = Suc(s)}"
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C_ioa_def "C_ioa ==
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(C_asig, {0}, C_trans,{},{})"
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C_live_ioa_def
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"C_live_ioa == (C_ioa, WF C_ioa {INC})"
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A_asig_def
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"A_asig == ({},{INC},{})"
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A_trans_def "A_trans ==
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{tr. let s = fst(tr);
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t = snd(snd(tr))
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in case fst(snd(tr))
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of
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INC => t = True}"
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A_ioa_def "A_ioa ==
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(A_asig, {False}, A_trans,{},{})"
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A_live_ioa_def
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"A_live_ioa == (A_ioa, WF A_ioa {INC})"
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h_abs_def
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"h_abs n == n~=0"
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rules
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MC_result
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"validLIOA (A_ioa,WF A_ioa {INC}) (<>[] <%(b,a,c). b>)"
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end |