--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Quotient_Examples/Lifting_Code_Dt_Test.thy Sat May 02 13:58:06 2015 +0200
@@ -0,0 +1,101 @@
+(* Title: HOL/Quotient_Examples/Lifting_Code_Dt_Test.thy
+ Author: Ondrej Kuncar, TU Muenchen
+ Copyright 2015
+
+Miscellaneous lift_definition(code_dt) definitions (for testing purposes).
+*)
+
+theory Lifting_Code_Dt_Test
+imports Main
+begin
+
+(* basic examples *)
+
+typedef bool2 = "{x. x}" by auto
+
+setup_lifting type_definition_bool2
+
+lift_definition(code_dt) f1 :: "bool2 option" is "Some True" by simp
+
+lift_definition(code_dt) f2 :: "bool2 list" is "[True]" by simp
+
+lift_definition(code_dt) f3 :: "bool2 \<times> int" is "(True, 42)" by simp
+
+lift_definition(code_dt) f4 :: "int + bool2" is "Inr True" by simp
+
+lift_definition(code_dt) f5 :: "'a \<Rightarrow> (bool2 \<times> 'a) option" is "\<lambda>x. Some (True, x)" by simp
+
+(* ugly (i.e., sensitive to rewriting done in my tactics) definition of T *)
+
+typedef 'a T = "{ x::'a. \<forall>(y::'a) z::'a. \<exists>(w::'a). (z = z) \<and> eq_onp top y y
+ \<or> rel_prod (eq_onp top) (eq_onp top) (x, y) (x, y) \<longrightarrow> pred_prod top top (w, w) }"
+ by auto
+
+setup_lifting type_definition_T
+
+lift_definition(code_dt) f6 :: "bool T option" is "Some True" by simp
+
+lift_definition(code_dt) f7 :: "(bool T \<times> int) option" is "Some (True, 42)" by simp
+
+lift_definition(code_dt) f8 :: "bool T \<Rightarrow> int \<Rightarrow> (bool T \<times> int) option"
+ is "\<lambda>x y. if x then Some (x, y) else None" by simp
+
+lift_definition(code_dt) f9 :: "nat \<Rightarrow> ((bool T \<times> int) option) list \<times> nat"
+ is "\<lambda>x. ([Some (True, 42)], x)" by simp
+
+(* complicated nested datatypes *)
+
+(* stolen from Datatype_Examples *)
+datatype 'a tree = Empty | Node 'a "'a tree list"
+
+datatype 'a ttree = TEmpty | TNode 'a "'a ttree list tree"
+
+datatype 'a tttree = TEmpty | TNode 'a "'a tttree list ttree list tree"
+
+lift_definition(code_dt) f10 :: "int \<Rightarrow> int T tree" is "\<lambda>i. Node i [Node i Nil, Empty]" by simp
+
+lift_definition(code_dt) f11 :: "int \<Rightarrow> int T ttree"
+ is "\<lambda>i. ttree.TNode i (Node [ttree.TNode i Empty] [])" by simp
+
+lift_definition(code_dt) f12 :: "int \<Rightarrow> int T tttree" is "\<lambda>i. tttree.TNode i Empty" by simp
+
+(* Phantom type variables *)
+
+datatype 'a phantom = PH1 | PH2
+
+datatype ('a, 'b) phantom2 = PH21 'a | PH22 "'a option"
+
+lift_definition(code_dt) f13 :: "int \<Rightarrow> int T phantom" is "\<lambda>i. PH1" by auto
+
+lift_definition(code_dt) f14 :: "int \<Rightarrow> (int T, nat T) phantom2" is "\<lambda>i. PH22 (Some i)" by auto
+
+(* Mutual datatypes *)
+
+datatype 'a M1 = Empty 'a | CM "'a M2"
+and 'a M2 = CM2 "'a M1"
+
+lift_definition(code_dt) f15 :: "int \<Rightarrow> int T M1" is "\<lambda>i. Empty i" by auto
+
+(* Codatatypes *)
+
+codatatype 'a stream = S 'a "'a stream"
+
+primcorec
+ sconst :: "'a \<Rightarrow> 'a stream" where
+ "sconst a = S a (sconst a)"
+
+lift_definition(code_dt) f16 :: "int \<Rightarrow> int T stream" is "\<lambda>i. sconst i" unfolding pred_stream_def
+by auto
+
+(* Sort constraints *)
+
+datatype ('a::finite, 'b::finite) F = F 'a | F2 'b
+
+instance T :: (finite) finite by (default, transfer, auto)
+
+lift_definition(code_dt) f17 :: "bool \<Rightarrow> (bool T, 'b::finite) F" is "\<lambda>b. F b" by auto
+
+export_code f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 f13 f14 f15 f16 f17
+ checking SML OCaml? Haskell? Scala?
+
+end
--- a/src/HOL/ROOT Sat May 02 13:58:06 2015 +0200
+++ b/src/HOL/ROOT Sat May 02 13:58:06 2015 +0200
@@ -962,6 +962,7 @@
Quotient_Rat
Lift_DList
Int_Pow
+ Lifting_Code_Dt_Test
session "HOL-Predicate_Compile_Examples" in Predicate_Compile_Examples = HOL +
options [document = false]