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(* Title: ZF/Coind/Types.thy
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ID: $Id$
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Author: Jacob Frost, Cambridge University Computer Laboratory
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Copyright 1995 University of Cambridge
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*)
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Types = Language +
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consts
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Ty :: "i" (* Datatype of types *)
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TyConst :: "i" (* Abstract type of type constants *)
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datatype <= "univ(TyConst)"
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"Ty" = t_const("tc:TyConst")
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| t_fun("t1:Ty","t2:Ty")
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(* Definition of type environments and associated operators *)
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consts
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TyEnv :: "i"
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datatype <= "univ(Ty Un ExVar)"
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"TyEnv" = te_emp
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| te_owr("te:TyEnv","x:ExVar","t:Ty")
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consts
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te_rec :: "[i,i,[i,i,i,i]=>i] => i"
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defs
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te_rec_def
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"te_rec(te,c,h) == \
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\ Vrec(te,%te g.TyEnv_case(c,%tem x t.h(tem,x,t,g`tem),te))"
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consts
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te_dom :: "i => i"
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te_app :: "[i,i] => i"
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defs
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te_dom_def "te_dom(te) == te_rec(te,0,% te x t r.r Un {x})"
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te_app_def "te_app(te,x) == te_rec(te,0, % te y t r.if(x=y,t,r))"
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end
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