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+++ b/src/HOL/BNF_Examples/Misc_Datatype.thy Mon Jan 20 18:24:56 2014 +0100
@@ -0,0 +1,185 @@
+(* Title: HOL/BNF/Examples/Misc_Datatype.thy
+ Author: Dmitriy Traytel, TU Muenchen
+ Author: Andrei Popescu, TU Muenchen
+ Author: Jasmin Blanchette, TU Muenchen
+ Copyright 2012, 2013
+
+Miscellaneous datatype definitions.
+*)
+
+header {* Miscellaneous Datatype Definitions *}
+
+theory Misc_Datatype
+imports "../BNF"
+begin
+
+datatype_new simple = X1 | X2 | X3 | X4
+
+datatype_new simple' = X1' unit | X2' unit | X3' unit | X4' unit
+
+datatype_new simple'' = X1'' nat int | X2''
+
+datatype_new 'a mylist = MyNil | MyCons (myhd: 'a) (mytl: "'a mylist")
+
+datatype_new ('b, 'c, 'd, 'e) some_passive =
+ SP1 "('b, 'c, 'd, 'e) some_passive" | SP2 'b | SP3 'c | SP4 'd | SP5 'e
+
+datatype_new hfset = HFset "hfset fset"
+
+datatype_new lambda =
+ Var string |
+ App lambda lambda |
+ Abs string lambda |
+ Let "(string \<times> lambda) fset" lambda
+
+datatype_new 'a par_lambda =
+ PVar 'a |
+ PApp "'a par_lambda" "'a par_lambda" |
+ PAbs 'a "'a par_lambda" |
+ PLet "('a \<times> 'a par_lambda) fset" "'a par_lambda"
+
+(*
+ ('a, 'b1, 'b2) F1 = 'a * 'b1 + 'a * 'b2
+ ('a, 'b1, 'b2) F2 = unit + 'b1 * 'b2
+*)
+
+datatype_new 'a I1 = I11 'a "'a I1" | I12 'a "'a I2"
+and 'a I2 = I21 | I22 "'a I1" "'a I2"
+
+datatype_new 'a tree = TEmpty | TNode 'a "'a forest"
+and 'a forest = FNil | FCons "'a tree" "'a forest"
+
+datatype_new 'a tree' = TEmpty' | TNode' "'a branch" "'a branch"
+and 'a branch = Branch 'a "'a tree'"
+
+datatype_new ('a, 'b) exp = Term "('a, 'b) trm" | Sum "('a, 'b) trm" "('a, 'b) exp"
+and ('a, 'b) trm = Factor "('a, 'b) factor" | Prod "('a, 'b) factor" "('a, 'b) trm"
+and ('a, 'b) factor = C 'a | V 'b | Paren "('a, 'b) exp"
+
+datatype_new 'a ftree = FTLeaf 'a | FTNode "'a \<Rightarrow> 'a ftree"
+
+datatype_new ('a, 'b, 'c) some_killing =
+ SK "'a \<Rightarrow> 'b \<Rightarrow> ('a, 'b, 'c) some_killing + ('a, 'b, 'c) in_here"
+and ('a, 'b, 'c) in_here =
+ IH1 'b 'a | IH2 'c
+
+datatype_new 'b nofail1 = NF11 "'b nofail1" 'b | NF12 'b
+datatype_new 'b nofail2 = NF2 "('b nofail2 \<times> 'b \<times> 'b nofail2 \<times> 'b) list"
+datatype_new 'b nofail3 = NF3 'b "('b nofail3 \<times> 'b \<times> 'b nofail3 \<times> 'b) fset"
+datatype_new 'b nofail4 = NF4 "('b nofail4 \<times> ('b nofail4 \<times> 'b \<times> 'b nofail4 \<times> 'b) fset) list"
+
+(*
+datatype_new 'b fail = F "'b fail" 'b "'b fail" "'b list"
+datatype_new 'b fail = F "'b fail" 'b "'b fail" 'b
+datatype_new 'b fail = F1 "'b fail" 'b | F2 "'b fail"
+datatype_new 'b fail = F "'b fail" 'b
+*)
+
+datatype_new l1 = L1 "l2 list"
+and l2 = L21 "l1 fset" | L22 l2
+
+datatype_new kk1 = KK1 kk2
+and kk2 = KK2 kk3
+and kk3 = KK3 "kk1 list"
+
+datatype_new t1 = T11 t3 | T12 t2
+and t2 = T2 t1
+and t3 = T3
+
+datatype_new t1' = T11' t2' | T12' t3'
+and t2' = T2' t1'
+and t3' = T3'
+
+(*
+datatype_new fail1 = F1 fail2
+and fail2 = F2 fail3
+and fail3 = F3 fail1
+
+datatype_new fail1 = F1 "fail2 list" fail2
+and fail2 = F2 "fail2 fset" fail3
+and fail3 = F3 fail1
+
+datatype_new fail1 = F1 "fail2 list" fail2
+and fail2 = F2 "fail1 fset" fail1
+*)
+
+(* SLOW
+datatype_new ('a, 'c) D1 = A1 "('a, 'c) D2" | B1 "'a list"
+and ('a, 'c) D2 = A2 "('a, 'c) D3" | B2 "'c list"
+and ('a, 'c) D3 = A3 "('a, 'c) D3" | B3 "('a, 'c) D4" | C3 "('a, 'c) D4" "('a, 'c) D5"
+and ('a, 'c) D4 = A4 "('a, 'c) D5" | B4 "'a list list list"
+and ('a, 'c) D5 = A5 "('a, 'c) D6"
+and ('a, 'c) D6 = A6 "('a, 'c) D7"
+and ('a, 'c) D7 = A7 "('a, 'c) D8"
+and ('a, 'c) D8 = A8 "('a, 'c) D1 list"
+
+(*time comparison*)
+datatype ('a, 'c) D1' = A1' "('a, 'c) D2'" | B1' "'a list"
+ and ('a, 'c) D2' = A2' "('a, 'c) D3'" | B2' "'c list"
+ and ('a, 'c) D3' = A3' "('a, 'c) D3'" | B3' "('a, 'c) D4'" | C3' "('a, 'c) D4'" "('a, 'c) D5'"
+ and ('a, 'c) D4' = A4' "('a, 'c) D5'" | B4' "'a list list list"
+ and ('a, 'c) D5' = A5' "('a, 'c) D6'"
+ and ('a, 'c) D6' = A6' "('a, 'c) D7'"
+ and ('a, 'c) D7' = A7' "('a, 'c) D8'"
+ and ('a, 'c) D8' = A8' "('a, 'c) D1' list"
+*)
+
+(* fail:
+datatype_new tt1 = TT11 tt2 tt3 | TT12 tt2 tt4
+and tt2 = TT2
+and tt3 = TT3 tt4
+and tt4 = TT4 tt1
+*)
+
+datatype_new k1 = K11 k2 k3 | K12 k2 k4
+and k2 = K2
+and k3 = K3 k4
+and k4 = K4
+
+datatype_new tt1 = TT11 tt3 tt2 | TT12 tt2 tt4
+and tt2 = TT2
+and tt3 = TT3 tt1
+and tt4 = TT4
+
+(* SLOW
+datatype_new s1 = S11 s2 s3 s4 | S12 s3 | S13 s2 s6 | S14 s4 s2 | S15 s2 s2
+and s2 = S21 s7 s5 | S22 s5 s4 s6
+and s3 = S31 s1 s7 s2 | S32 s3 s3 | S33 s4 s5
+and s4 = S4 s5
+and s5 = S5
+and s6 = S61 s6 | S62 s1 s2 | S63 s6
+and s7 = S71 s8 | S72 s5
+and s8 = S8 nat
+*)
+
+datatype_new 'a deadbar = DeadBar "'a \<Rightarrow> 'a"
+datatype_new 'a deadbar_option = DeadBarOption "'a option \<Rightarrow> 'a option"
+datatype_new ('a, 'b) bar = Bar "'b \<Rightarrow> 'a"
+datatype_new ('a, 'b, 'c, 'd) foo = Foo "'d + 'b \<Rightarrow> 'c + 'a"
+datatype_new 'a deadfoo = DeadFoo "'a \<Rightarrow> 'a + 'a"
+
+datatype_new 'a dead_foo = A
+datatype_new ('a, 'b) use_dead_foo = Y "'a" "'b dead_foo"
+
+datatype_new d1 = D
+datatype_new d1' = is_D: D
+
+datatype_new d2 = D nat
+datatype_new d2' = is_D: D nat
+
+datatype_new d3 = D | E
+datatype_new d3' = D | is_E: E
+datatype_new d3'' = is_D: D | E
+datatype_new d3''' = is_D: D | is_E: E
+
+datatype_new d4 = D nat | E
+datatype_new d4' = D nat | is_E: E
+datatype_new d4'' = is_D: D nat | E
+datatype_new d4''' = is_D: D nat | is_E: E
+
+datatype_new d5 = D nat | E int
+datatype_new d5' = D nat | is_E: E int
+datatype_new d5'' = is_D: D nat | E int
+datatype_new d5''' = is_D: D nat | is_E: E int
+
+end