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(* Title: ZF/Coind/Language.thy
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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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theory Language imports Main begin
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consts
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Const :: i (* Abstract type of constants *)
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c_app :: "[i,i] => i" (* Abstract constructor for fun application*)
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text{*these really can't be definitions without losing the abstraction*}
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axioms
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constNEE: "c \<in> Const ==> c \<noteq> 0"
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c_appI: "[| c1 \<in> Const; c2 \<in> Const |] ==> c_app(c1,c2) \<in> Const"
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consts
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Exp :: i (* Datatype of expressions *)
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ExVar :: i (* Abstract type of variables *)
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datatype
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"Exp" = e_const ("c \<in> Const")
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| e_var ("x \<in> ExVar")
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| e_fn ("x \<in> ExVar","e \<in> Exp")
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| e_fix ("x1 \<in> ExVar","x2 \<in> ExVar","e \<in> Exp")
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| e_app ("e1 \<in> Exp","e2 \<in> Exp")
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end
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