Sexp.thy
changeset 48 21291189b51e
parent 0 7949f97df77a
child 110 7c6476c53a6c
equal deleted inserted replaced
47:69d815b0e1eb 48:21291189b51e
    22   Sexp_def "Sexp == lfp(%Z. range(Leaf) Un range(Numb) Un Z<*>Z)"
    22   Sexp_def "Sexp == lfp(%Z. range(Leaf) Un range(Numb) Un Z<*>Z)"
    23 
    23 
    24   Sexp_case_def	
    24   Sexp_case_def	
    25    "Sexp_case(M,c,d,e) == @ z. (? x.   M=Leaf(x) & z=c(x))  \
    25    "Sexp_case(M,c,d,e) == @ z. (? x.   M=Leaf(x) & z=c(x))  \
    26 \                            | (? k.   M=Numb(k) & z=d(k))  \
    26 \                            | (? k.   M=Numb(k) & z=d(k))  \
    27 \                            | (? N1 N2. M = N1 . N2  & z=e(N1,N2))"
    27 \                            | (? N1 N2. M = N1 $ N2  & z=e(N1,N2))"
    28 
    28 
    29   pred_Sexp_def
    29   pred_Sexp_def
    30      "pred_Sexp == UN M: Sexp. UN N: Sexp. {<M, M.N>, <N, M.N>}"
    30      "pred_Sexp == UN M: Sexp. UN N: Sexp. {<M, M$N>, <N, M$N>}"
    31 
    31 
    32   Sexp_rec_def
    32   Sexp_rec_def
    33    "Sexp_rec(M,c,d,e) == wfrec(pred_Sexp, M,  \
    33    "Sexp_rec(M,c,d,e) == wfrec(pred_Sexp, M,  \
    34 \             %M g. Sexp_case(M, c, d, %N1 N2. e(N1, N2, g(N1), g(N2))))"
    34 \             %M g. Sexp_case(M, c, d, %N1 N2. e(N1, N2, g(N1), g(N2))))"
    35 end
    35 end