From df4d60b71bcabf9897656d6d74157a4c7d8d539c Mon Sep 17 00:00:00 2001
From: Son Ho
Date: Tue, 16 May 2023 11:45:43 +0200
Subject: Make good progress on generating code for HOL4

---
 tests/coq/betree/BetreeMain_Funs.v                 | 13 +++--
 tests/coq/hashmap/Hashmap_Funs.v                   | 37 +++++++-------
 tests/coq/hashmap_on_disk/HashmapMain_Funs.v       | 36 +++++++-------
 tests/coq/misc/Constants.v                         | 26 +++++-----
 tests/coq/misc/External_Funs.v                     |  8 ++--
 tests/coq/misc/Loops.v                             | 18 +++----
 tests/coq/misc/NoNestedBorrows.v                   | 56 ++++++++++------------
 tests/coq/misc/Paper.v                             | 16 +++----
 tests/hol4/Holmakefile.template                    |  3 ++
 tests/hol4/Makefile                                | 39 +++++++++++++++
 .../misc-no_nested_borrows/NoNestedBorrows.lean    |  5 +-
 11 files changed, 148 insertions(+), 109 deletions(-)
 create mode 100644 tests/hol4/Holmakefile.template
 create mode 100644 tests/hol4/Makefile

(limited to 'tests')

diff --git a/tests/coq/betree/BetreeMain_Funs.v b/tests/coq/betree/BetreeMain_Funs.v
index dc97a9e9..940b8650 100644
--- a/tests/coq/betree/BetreeMain_Funs.v
+++ b/tests/coq/betree/BetreeMain_Funs.v
@@ -56,7 +56,7 @@ Definition betree_fresh_node_id_back (counter : u64) : result u64 :=
 
 (** [betree_main::betree::NodeIdCounter::{0}::new] *)
 Definition betree_node_id_counter_new_fwd : result Betree_node_id_counter_t :=
-  Return {| Betree_node_id_counter_next_node_id := (0%u64) |}
+  Return {| Betree_node_id_counter_next_node_id := 0%u64 |}
 .
 
 (** [betree_main::betree::NodeIdCounter::{0}::fresh_id] *)
@@ -75,7 +75,7 @@ Definition betree_node_id_counter_fresh_id_back
 
 (** [core::num::u64::{10}::MAX] *)
 Definition core_num_u64_max_body : result u64 :=
-  Return (18446744073709551615%u64)
+  Return 18446744073709551615%u64
 .
 Definition core_num_u64_max_c : u64 := core_num_u64_max_body%global.
 
@@ -86,7 +86,7 @@ Definition betree_upsert_update_fwd
   | None =>
     match st with
     | BetreeUpsertFunStateAdd v => Return v
-    | BetreeUpsertFunStateSub i => Return (0%u64)
+    | BetreeUpsertFunStateSub i => Return 0%u64
     end
   | Some prev0 =>
     match st with
@@ -94,7 +94,7 @@ Definition betree_upsert_update_fwd
       margin <- u64_sub core_num_u64_max_c prev0;
       if margin s>= v then u64_add prev0 v else Return core_num_u64_max_c
     | BetreeUpsertFunStateSub v =>
-      if prev0 s>= v then u64_sub prev0 v else Return (0%u64)
+      if prev0 s>= v then u64_sub prev0 v else Return 0%u64
     end
   end
 .
@@ -107,7 +107,7 @@ Fixpoint betree_list_len_fwd
   | S n0 =>
     match self with
     | BetreeListCons t tl => i <- betree_list_len_fwd T n0 tl; u64_add 1%u64 i
-    | BetreeListNil => Return (0%u64)
+    | BetreeListNil => Return 0%u64
     end
   end
 .
@@ -1061,8 +1061,7 @@ Definition betree_be_tree_new_fwd
         |};
       Betree_be_tree_node_id_cnt := node_id_cnt0;
       Betree_be_tree_root :=
-        (BetreeNodeLeaf
-          {| Betree_leaf_id := id; Betree_leaf_size := (0%u64) |})
+        (BetreeNodeLeaf {| Betree_leaf_id := id; Betree_leaf_size := 0%u64 |})
     |})
 .
 
diff --git a/tests/coq/hashmap/Hashmap_Funs.v b/tests/coq/hashmap/Hashmap_Funs.v
index 1245c654..6bc82677 100644
--- a/tests/coq/hashmap/Hashmap_Funs.v
+++ b/tests/coq/hashmap/Hashmap_Funs.v
@@ -49,7 +49,7 @@ Definition hash_map_new_with_capacity_fwd
   i0 <- usize_div i max_load_divisor;
   Return
     {|
-      Hash_map_num_entries := (0%usize);
+      Hash_map_num_entries := 0%usize;
       Hash_map_max_load_factor := (max_load_dividend, max_load_divisor);
       Hash_map_max_load := i0;
       Hash_map_slots := slots
@@ -58,7 +58,7 @@ Definition hash_map_new_with_capacity_fwd
 
 (** [hashmap::HashMap::{0}::new] *)
 Definition hash_map_new_fwd (T : Type) (n : nat) : result (Hash_map_t T) :=
-  hash_map_new_with_capacity_fwd T n (32%usize) (4%usize) (5%usize)
+  hash_map_new_with_capacity_fwd T n 32%usize 4%usize 5%usize
 .
 
 (** [hashmap::HashMap::{0}::clear] *)
@@ -82,10 +82,10 @@ Fixpoint hash_map_clear_loop_fwd_back
 (** [hashmap::HashMap::{0}::clear] *)
 Definition hash_map_clear_fwd_back
   (T : Type) (n : nat) (self : Hash_map_t T) : result (Hash_map_t T) :=
-  v <- hash_map_clear_loop_fwd_back T n self.(Hash_map_slots) (0%usize);
+  v <- hash_map_clear_loop_fwd_back T n self.(Hash_map_slots) 0%usize;
   Return
     {|
-      Hash_map_num_entries := (0%usize);
+      Hash_map_num_entries := 0%usize;
       Hash_map_max_load_factor := self.(Hash_map_max_load_factor);
       Hash_map_max_load := self.(Hash_map_max_load);
       Hash_map_slots := v
@@ -186,7 +186,7 @@ Definition hash_map_insert_no_resize_fwd_back
 .
 
 (** [core::num::u32::{9}::MAX] *)
-Definition core_num_u32_max_body : result u32 := Return (4294967295%u32).
+Definition core_num_u32_max_body : result u32 := Return 4294967295%u32.
 Definition core_num_u32_max_c : u32 := core_num_u32_max_body%global.
 
 (** [hashmap::HashMap::{0}::move_elements_from_list] *)
@@ -259,8 +259,7 @@ Definition hash_map_try_resize_fwd_back
     i2 <- usize_mul capacity 2%usize;
     ntable <- hash_map_new_with_capacity_fwd T n i2 i i0;
     p <-
-      hash_map_move_elements_fwd_back T n ntable self.(Hash_map_slots)
-        (0%usize);
+      hash_map_move_elements_fwd_back T n ntable self.(Hash_map_slots) 0%usize;
     let (ntable0, _) := p in
     Return
       {|
@@ -546,36 +545,36 @@ Definition hash_map_remove_back
 (** [hashmap::test1] *)
 Definition test1_fwd (n : nat) : result unit :=
   hm <- hash_map_new_fwd u64 n;
-  hm0 <- hash_map_insert_fwd_back u64 n hm (0%usize) (42%u64);
-  hm1 <- hash_map_insert_fwd_back u64 n hm0 (128%usize) (18%u64);
-  hm2 <- hash_map_insert_fwd_back u64 n hm1 (1024%usize) (138%u64);
-  hm3 <- hash_map_insert_fwd_back u64 n hm2 (1056%usize) (256%u64);
-  i <- hash_map_get_fwd u64 n hm3 (128%usize);
+  hm0 <- hash_map_insert_fwd_back u64 n hm 0%usize 42%u64;
+  hm1 <- hash_map_insert_fwd_back u64 n hm0 128%usize 18%u64;
+  hm2 <- hash_map_insert_fwd_back u64 n hm1 1024%usize 138%u64;
+  hm3 <- hash_map_insert_fwd_back u64 n hm2 1056%usize 256%u64;
+  i <- hash_map_get_fwd u64 n hm3 128%usize;
   if negb (i s= 18%u64)
   then Fail_ Failure
   else (
-    hm4 <- hash_map_get_mut_back u64 n hm3 (1024%usize) (56%u64);
-    i0 <- hash_map_get_fwd u64 n hm4 (1024%usize);
+    hm4 <- hash_map_get_mut_back u64 n hm3 1024%usize 56%u64;
+    i0 <- hash_map_get_fwd u64 n hm4 1024%usize;
     if negb (i0 s= 56%u64)
     then Fail_ Failure
     else (
-      x <- hash_map_remove_fwd u64 n hm4 (1024%usize);
+      x <- hash_map_remove_fwd u64 n hm4 1024%usize;
       match x with
       | None => Fail_ Failure
       | Some x0 =>
         if negb (x0 s= 56%u64)
         then Fail_ Failure
         else (
-          hm5 <- hash_map_remove_back u64 n hm4 (1024%usize);
-          i1 <- hash_map_get_fwd u64 n hm5 (0%usize);
+          hm5 <- hash_map_remove_back u64 n hm4 1024%usize;
+          i1 <- hash_map_get_fwd u64 n hm5 0%usize;
           if negb (i1 s= 42%u64)
           then Fail_ Failure
           else (
-            i2 <- hash_map_get_fwd u64 n hm5 (128%usize);
+            i2 <- hash_map_get_fwd u64 n hm5 128%usize;
             if negb (i2 s= 18%u64)
             then Fail_ Failure
             else (
-              i3 <- hash_map_get_fwd u64 n hm5 (1056%usize);
+              i3 <- hash_map_get_fwd u64 n hm5 1056%usize;
               if negb (i3 s= 256%u64) then Fail_ Failure else Return tt)))
       end))
 .
diff --git a/tests/coq/hashmap_on_disk/HashmapMain_Funs.v b/tests/coq/hashmap_on_disk/HashmapMain_Funs.v
index 804f466a..2d1bcda6 100644
--- a/tests/coq/hashmap_on_disk/HashmapMain_Funs.v
+++ b/tests/coq/hashmap_on_disk/HashmapMain_Funs.v
@@ -51,7 +51,7 @@ Definition hashmap_hash_map_new_with_capacity_fwd
   i0 <- usize_div i max_load_divisor;
   Return
     {|
-      Hashmap_hash_map_num_entries := (0%usize);
+      Hashmap_hash_map_num_entries := 0%usize;
       Hashmap_hash_map_max_load_factor := (max_load_dividend, max_load_divisor);
       Hashmap_hash_map_max_load := i0;
       Hashmap_hash_map_slots := slots
@@ -61,7 +61,7 @@ Definition hashmap_hash_map_new_with_capacity_fwd
 (** [hashmap_main::hashmap::HashMap::{0}::new] *)
 Definition hashmap_hash_map_new_fwd
   (T : Type) (n : nat) : result (Hashmap_hash_map_t T) :=
-  hashmap_hash_map_new_with_capacity_fwd T n (32%usize) (4%usize) (5%usize)
+  hashmap_hash_map_new_with_capacity_fwd T n 32%usize 4%usize 5%usize
 .
 
 (** [hashmap_main::hashmap::HashMap::{0}::clear] *)
@@ -89,10 +89,10 @@ Definition hashmap_hash_map_clear_fwd_back
   :=
   v <-
     hashmap_hash_map_clear_loop_fwd_back T n self.(Hashmap_hash_map_slots)
-      (0%usize);
+      0%usize;
   Return
     {|
-      Hashmap_hash_map_num_entries := (0%usize);
+      Hashmap_hash_map_num_entries := 0%usize;
       Hashmap_hash_map_max_load_factor :=
         self.(Hashmap_hash_map_max_load_factor);
       Hashmap_hash_map_max_load := self.(Hashmap_hash_map_max_load);
@@ -204,7 +204,7 @@ Definition hashmap_hash_map_insert_no_resize_fwd_back
 .
 
 (** [core::num::u32::{9}::MAX] *)
-Definition core_num_u32_max_body : result u32 := Return (4294967295%u32).
+Definition core_num_u32_max_body : result u32 := Return 4294967295%u32.
 Definition core_num_u32_max_c : u32 := core_num_u32_max_body%global.
 
 (** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list] *)
@@ -283,7 +283,7 @@ Definition hashmap_hash_map_try_resize_fwd_back
     ntable <- hashmap_hash_map_new_with_capacity_fwd T n i2 i i0;
     p <-
       hashmap_hash_map_move_elements_fwd_back T n ntable
-        self.(Hashmap_hash_map_slots) (0%usize);
+        self.(Hashmap_hash_map_slots) 0%usize;
     let (ntable0, _) := p in
     Return
       {|
@@ -602,36 +602,36 @@ Definition hashmap_hash_map_remove_back
 (** [hashmap_main::hashmap::test1] *)
 Definition hashmap_test1_fwd (n : nat) : result unit :=
   hm <- hashmap_hash_map_new_fwd u64 n;
-  hm0 <- hashmap_hash_map_insert_fwd_back u64 n hm (0%usize) (42%u64);
-  hm1 <- hashmap_hash_map_insert_fwd_back u64 n hm0 (128%usize) (18%u64);
-  hm2 <- hashmap_hash_map_insert_fwd_back u64 n hm1 (1024%usize) (138%u64);
-  hm3 <- hashmap_hash_map_insert_fwd_back u64 n hm2 (1056%usize) (256%u64);
-  i <- hashmap_hash_map_get_fwd u64 n hm3 (128%usize);
+  hm0 <- hashmap_hash_map_insert_fwd_back u64 n hm 0%usize 42%u64;
+  hm1 <- hashmap_hash_map_insert_fwd_back u64 n hm0 128%usize 18%u64;
+  hm2 <- hashmap_hash_map_insert_fwd_back u64 n hm1 1024%usize 138%u64;
+  hm3 <- hashmap_hash_map_insert_fwd_back u64 n hm2 1056%usize 256%u64;
+  i <- hashmap_hash_map_get_fwd u64 n hm3 128%usize;
   if negb (i s= 18%u64)
   then Fail_ Failure
   else (
-    hm4 <- hashmap_hash_map_get_mut_back u64 n hm3 (1024%usize) (56%u64);
-    i0 <- hashmap_hash_map_get_fwd u64 n hm4 (1024%usize);
+    hm4 <- hashmap_hash_map_get_mut_back u64 n hm3 1024%usize 56%u64;
+    i0 <- hashmap_hash_map_get_fwd u64 n hm4 1024%usize;
     if negb (i0 s= 56%u64)
     then Fail_ Failure
     else (
-      x <- hashmap_hash_map_remove_fwd u64 n hm4 (1024%usize);
+      x <- hashmap_hash_map_remove_fwd u64 n hm4 1024%usize;
       match x with
       | None => Fail_ Failure
       | Some x0 =>
         if negb (x0 s= 56%u64)
         then Fail_ Failure
         else (
-          hm5 <- hashmap_hash_map_remove_back u64 n hm4 (1024%usize);
-          i1 <- hashmap_hash_map_get_fwd u64 n hm5 (0%usize);
+          hm5 <- hashmap_hash_map_remove_back u64 n hm4 1024%usize;
+          i1 <- hashmap_hash_map_get_fwd u64 n hm5 0%usize;
           if negb (i1 s= 42%u64)
           then Fail_ Failure
           else (
-            i2 <- hashmap_hash_map_get_fwd u64 n hm5 (128%usize);
+            i2 <- hashmap_hash_map_get_fwd u64 n hm5 128%usize;
             if negb (i2 s= 18%u64)
             then Fail_ Failure
             else (
-              i3 <- hashmap_hash_map_get_fwd u64 n hm5 (1056%usize);
+              i3 <- hashmap_hash_map_get_fwd u64 n hm5 1056%usize;
               if negb (i3 s= 256%u64) then Fail_ Failure else Return tt)))
       end))
 .
diff --git a/tests/coq/misc/Constants.v b/tests/coq/misc/Constants.v
index cd3880c2..6a5f2696 100644
--- a/tests/coq/misc/Constants.v
+++ b/tests/coq/misc/Constants.v
@@ -7,11 +7,11 @@ Local Open Scope Primitives_scope.
 Module Constants.
 
 (** [constants::X0] *)
-Definition x0_body : result u32 := Return (0%u32).
+Definition x0_body : result u32 := Return 0%u32.
 Definition x0_c : u32 := x0_body%global.
 
 (** [core::num::u32::{9}::MAX] *)
-Definition core_num_u32_max_body : result u32 := Return (4294967295%u32).
+Definition core_num_u32_max_body : result u32 := Return 4294967295%u32.
 Definition core_num_u32_max_c : u32 := core_num_u32_max_body%global.
 
 (** [constants::X1] *)
@@ -19,7 +19,7 @@ Definition x1_body : result u32 := Return core_num_u32_max_c.
 Definition x1_c : u32 := x1_body%global.
 
 (** [constants::X2] *)
-Definition x2_body : result u32 := Return (3%u32).
+Definition x2_body : result u32 := Return 3%u32.
 Definition x2_c : u32 := x2_body%global.
 
 (** [constants::incr] *)
@@ -27,7 +27,7 @@ Definition incr_fwd (n : u32) : result u32 :=
   u32_add n 1%u32.
 
 (** [constants::X3] *)
-Definition x3_body : result u32 := incr_fwd (32%u32).
+Definition x3_body : result u32 := incr_fwd 32%u32.
 Definition x3_c : u32 := x3_body%global.
 
 (** [constants::mk_pair0] *)
@@ -48,11 +48,11 @@ Definition mk_pair1_fwd (x : u32) (y : u32) : result (Pair_t u32 u32) :=
 .
 
 (** [constants::P0] *)
-Definition p0_body : result (u32 * u32) := mk_pair0_fwd (0%u32) (1%u32).
+Definition p0_body : result (u32 * u32) := mk_pair0_fwd 0%u32 1%u32.
 Definition p0_c : (u32 * u32) := p0_body%global.
 
 (** [constants::P1] *)
-Definition p1_body : result (Pair_t u32 u32) := mk_pair1_fwd (0%u32) (1%u32).
+Definition p1_body : result (Pair_t u32 u32) := mk_pair1_fwd 0%u32 1%u32.
 Definition p1_c : Pair_t u32 u32 := p1_body%global.
 
 (** [constants::P2] *)
@@ -61,7 +61,7 @@ Definition p2_c : (u32 * u32) := p2_body%global.
 
 (** [constants::P3] *)
 Definition p3_body : result (Pair_t u32 u32) :=
-  Return {| Pair_x := (0%u32); Pair_y := (1%u32) |}
+  Return {| Pair_x := 0%u32; Pair_y := 1%u32 |}
 .
 Definition p3_c : Pair_t u32 u32 := p3_body%global.
 
@@ -77,7 +77,7 @@ Definition wrap_new_fwd (T : Type) (val : T) : result (Wrap_t T) :=
 .
 
 (** [constants::Y] *)
-Definition y_body : result (Wrap_t i32) := wrap_new_fwd i32 (2%i32).
+Definition y_body : result (Wrap_t i32) := wrap_new_fwd i32 2%i32.
 Definition y_c : Wrap_t i32 := y_body%global.
 
 (** [constants::unwrap_y] *)
@@ -89,7 +89,7 @@ Definition yval_body : result i32 := unwrap_y_fwd.
 Definition yval_c : i32 := yval_body%global.
 
 (** [constants::get_z1::Z1] *)
-Definition get_z1_z1_body : result i32 := Return (3%i32).
+Definition get_z1_z1_body : result i32 := Return 3%i32.
 Definition get_z1_z1_c : i32 := get_z1_z1_body%global.
 
 (** [constants::get_z1] *)
@@ -101,7 +101,7 @@ Definition add_fwd (a : i32) (b : i32) : result i32 :=
   i32_add a b.
 
 (** [constants::Q1] *)
-Definition q1_body : result i32 := Return (5%i32).
+Definition q1_body : result i32 := Return 5%i32.
 Definition q1_c : i32 := q1_body%global.
 
 (** [constants::Q2] *)
@@ -109,7 +109,7 @@ Definition q2_body : result i32 := Return q1_c.
 Definition q2_c : i32 := q2_body%global.
 
 (** [constants::Q3] *)
-Definition q3_body : result i32 := add_fwd q2_c (3%i32).
+Definition q3_body : result i32 := add_fwd q2_c 3%i32.
 Definition q3_c : i32 := q3_body%global.
 
 (** [constants::get_z2] *)
@@ -118,7 +118,7 @@ Definition get_z2_fwd : result i32 :=
 .
 
 (** [constants::S1] *)
-Definition s1_body : result u32 := Return (6%u32).
+Definition s1_body : result u32 := Return 6%u32.
 Definition s1_c : u32 := s1_body%global.
 
 (** [constants::S2] *)
@@ -130,7 +130,7 @@ Definition s3_body : result (Pair_t u32 u32) := Return p3_c.
 Definition s3_c : Pair_t u32 u32 := s3_body%global.
 
 (** [constants::S4] *)
-Definition s4_body : result (Pair_t u32 u32) := mk_pair1_fwd (7%u32) (8%u32).
+Definition s4_body : result (Pair_t u32 u32) := mk_pair1_fwd 7%u32 8%u32.
 Definition s4_c : Pair_t u32 u32 := s4_body%global.
 
 End Constants .
diff --git a/tests/coq/misc/External_Funs.v b/tests/coq/misc/External_Funs.v
index b5476f25..05dd8f2e 100644
--- a/tests/coq/misc/External_Funs.v
+++ b/tests/coq/misc/External_Funs.v
@@ -46,7 +46,7 @@ Definition test_new_non_zero_u32_fwd
 
 (** [external::test_vec] *)
 Definition test_vec_fwd : result unit :=
-  let v := vec_new u32 in _ <- vec_push_back u32 v (0%u32); Return tt
+  let v := vec_new u32 in _ <- vec_push_back u32 v 0%u32; Return tt
 .
 
 (** Unit test for [external::test_vec] *)
@@ -89,15 +89,15 @@ Definition test_custom_swap_back
   (x : u32) (y : u32) (st : state) (st0 : state) :
   result (state * (u32 * u32))
   :=
-  custom_swap_back u32 x y st (1%u32) st0
+  custom_swap_back u32 x y st 1%u32 st0
 .
 
 (** [external::test_swap_non_zero] *)
 Definition test_swap_non_zero_fwd
   (x : u32) (st : state) : result (state * u32) :=
-  p <- swap_fwd u32 x (0%u32) st;
+  p <- swap_fwd u32 x 0%u32 st;
   let (st0, _) := p in
-  p0 <- swap_back u32 x (0%u32) st st0;
+  p0 <- swap_back u32 x 0%u32 st st0;
   let (st1, p1) := p0 in
   let (x0, _) := p1 in
   if x0 s= 0%u32 then Fail_ Failure else Return (st1, x0)
diff --git a/tests/coq/misc/Loops.v b/tests/coq/misc/Loops.v
index bcbfc8df..a5cb3688 100644
--- a/tests/coq/misc/Loops.v
+++ b/tests/coq/misc/Loops.v
@@ -19,7 +19,7 @@ Fixpoint sum_loop_fwd (n : nat) (max : u32) (i : u32) (s : u32) : result u32 :=
 
 (** [loops::sum] *)
 Definition sum_fwd (n : nat) (max : u32) : result u32 :=
-  sum_loop_fwd n max (0%u32) (0%u32)
+  sum_loop_fwd n max 0%u32 0%u32
 .
 
 (** [loops::sum_with_mut_borrows] *)
@@ -39,7 +39,7 @@ Fixpoint sum_with_mut_borrows_loop_fwd
 
 (** [loops::sum_with_mut_borrows] *)
 Definition sum_with_mut_borrows_fwd (n : nat) (max : u32) : result u32 :=
-  sum_with_mut_borrows_loop_fwd n max (0%u32) (0%u32)
+  sum_with_mut_borrows_loop_fwd n max 0%u32 0%u32
 .
 
 (** [loops::sum_with_shared_borrows] *)
@@ -59,7 +59,7 @@ Fixpoint sum_with_shared_borrows_loop_fwd
 
 (** [loops::sum_with_shared_borrows] *)
 Definition sum_with_shared_borrows_fwd (n : nat) (max : u32) : result u32 :=
-  sum_with_shared_borrows_loop_fwd n max (0%u32) (0%u32)
+  sum_with_shared_borrows_loop_fwd n max 0%u32 0%u32
 .
 
 (** [loops::clear] *)
@@ -72,7 +72,7 @@ Fixpoint clear_loop_fwd_back
     if i s< i0
     then (
       i1 <- usize_add i 1%usize;
-      v0 <- vec_index_mut_back u32 v i (0%u32);
+      v0 <- vec_index_mut_back u32 v i 0%u32;
       clear_loop_fwd_back n0 v0 i1)
     else Return v
   end
@@ -80,7 +80,7 @@ Fixpoint clear_loop_fwd_back
 
 (** [loops::clear] *)
 Definition clear_fwd_back (n : nat) (v : vec u32) : result (vec u32) :=
-  clear_loop_fwd_back n v (0%usize)
+  clear_loop_fwd_back n v 0%usize
 .
 
 (** [loops::List] *)
@@ -201,7 +201,7 @@ Fixpoint get_elem_mut_loop_fwd
 (** [loops::get_elem_mut] *)
 Definition get_elem_mut_fwd
   (n : nat) (slots : vec (List_t usize)) (x : usize) : result usize :=
-  l <- vec_index_mut_fwd (List_t usize) slots (0%usize);
+  l <- vec_index_mut_fwd (List_t usize) slots 0%usize;
   get_elem_mut_loop_fwd n x l
 .
 
@@ -228,9 +228,9 @@ Definition get_elem_mut_back
   (n : nat) (slots : vec (List_t usize)) (x : usize) (ret : usize) :
   result (vec (List_t usize))
   :=
-  l <- vec_index_mut_fwd (List_t usize) slots (0%usize);
+  l <- vec_index_mut_fwd (List_t usize) slots 0%usize;
   l0 <- get_elem_mut_loop_back n x l ret;
-  vec_index_mut_back (List_t usize) slots (0%usize) l0
+  vec_index_mut_back (List_t usize) slots 0%usize l0
 .
 
 (** [loops::get_elem_shared] *)
@@ -250,7 +250,7 @@ Fixpoint get_elem_shared_loop_fwd
 (** [loops::get_elem_shared] *)
 Definition get_elem_shared_fwd
   (n : nat) (slots : vec (List_t usize)) (x : usize) : result usize :=
-  l <- vec_index_fwd (List_t usize) slots (0%usize);
+  l <- vec_index_fwd (List_t usize) slots 0%usize;
   get_elem_shared_loop_fwd n x l
 .
 
diff --git a/tests/coq/misc/NoNestedBorrows.v b/tests/coq/misc/NoNestedBorrows.v
index 826b52b6..96d62711 100644
--- a/tests/coq/misc/NoNestedBorrows.v
+++ b/tests/coq/misc/NoNestedBorrows.v
@@ -87,8 +87,8 @@ Definition get_max_fwd (x : u32) (y : u32) : result u32 :=
 
 (** [no_nested_borrows::test3] *)
 Definition test3_fwd : result unit :=
-  x <- get_max_fwd (4%u32) (3%u32);
-  y <- get_max_fwd (10%u32) (11%u32);
+  x <- get_max_fwd 4%u32 3%u32;
+  y <- get_max_fwd 10%u32 11%u32;
   z <- u32_add x y;
   if negb (z s= 15%u32) then Fail_ Failure else Return tt
 .
@@ -98,8 +98,7 @@ Check (test3_fwd )%return.
 
 (** [no_nested_borrows::test_neg1] *)
 Definition test_neg1_fwd : result unit :=
-  y <- i32_neg (3%i32);
-  if negb (y s= (-3)%i32) then Fail_ Failure else Return tt
+  y <- i32_neg 3%i32; if negb (y s= (-3)%i32) then Fail_ Failure else Return tt
 .
 
 (** Unit test for [no_nested_borrows::test_neg1] *)
@@ -162,7 +161,7 @@ Definition test_panic_fwd (b : bool) : result unit :=
 
 (** [no_nested_borrows::test_copy_int] *)
 Definition test_copy_int_fwd : result unit :=
-  y <- copy_int_fwd (0%i32);
+  y <- copy_int_fwd 0%i32;
   if negb (0%i32 s= y) then Fail_ Failure else Return tt
 .
 
@@ -177,7 +176,7 @@ Definition is_cons_fwd (T : Type) (l : List_t T) : result bool :=
 (** [no_nested_borrows::test_is_cons] *)
 Definition test_is_cons_fwd : result unit :=
   let l := ListNil in
-  b <- is_cons_fwd i32 (ListCons (0%i32) l);
+  b <- is_cons_fwd i32 (ListCons 0%i32 l);
   if negb b then Fail_ Failure else Return tt
 .
 
@@ -196,7 +195,7 @@ Definition split_list_fwd
 (** [no_nested_borrows::test_split_list] *)
 Definition test_split_list_fwd : result unit :=
   let l := ListNil in
-  p <- split_list_fwd i32 (ListCons (0%i32) l);
+  p <- split_list_fwd i32 (ListCons 0%i32 l);
   let (hd, _) := p in
   if negb (hd s= 0%i32) then Fail_ Failure else Return tt
 .
@@ -217,12 +216,12 @@ Definition choose_back
 
 (** [no_nested_borrows::choose_test] *)
 Definition choose_test_fwd : result unit :=
-  z <- choose_fwd i32 true (0%i32) (0%i32);
+  z <- choose_fwd i32 true 0%i32 0%i32;
   z0 <- i32_add z 1%i32;
   if negb (z0 s= 1%i32)
   then Fail_ Failure
   else (
-    p <- choose_back i32 true (0%i32) (0%i32) z0;
+    p <- choose_back i32 true 0%i32 0%i32 z0;
     let (x, y) := p in
     if negb (x s= 1%i32)
     then Fail_ Failure
@@ -258,7 +257,7 @@ Arguments TreeNode {T} _ _ _.
 Fixpoint list_length_fwd (T : Type) (l : List_t T) : result u32 :=
   match l with
   | ListCons t l1 => i <- list_length_fwd T l1; u32_add 1%u32 i
-  | ListNil => Return (0%u32)
+  | ListNil => Return 0%u32
   end
 .
 
@@ -317,34 +316,34 @@ Definition list_rev_fwd_back (T : Type) (l : List_t T) : result (List_t T) :=
 (** [no_nested_borrows::test_list_functions] *)
 Definition test_list_functions_fwd : result unit :=
   let l := ListNil in
-  let l0 := ListCons (2%i32) l in
-  let l1 := ListCons (1%i32) l0 in
-  i <- list_length_fwd i32 (ListCons (0%i32) l1);
+  let l0 := ListCons 2%i32 l in
+  let l1 := ListCons 1%i32 l0 in
+  i <- list_length_fwd i32 (ListCons 0%i32 l1);
   if negb (i s= 3%u32)
   then Fail_ Failure
   else (
-    i0 <- list_nth_shared_fwd i32 (ListCons (0%i32) l1) (0%u32);
+    i0 <- list_nth_shared_fwd i32 (ListCons 0%i32 l1) 0%u32;
     if negb (i0 s= 0%i32)
     then Fail_ Failure
     else (
-      i1 <- list_nth_shared_fwd i32 (ListCons (0%i32) l1) (1%u32);
+      i1 <- list_nth_shared_fwd i32 (ListCons 0%i32 l1) 1%u32;
       if negb (i1 s= 1%i32)
       then Fail_ Failure
       else (
-        i2 <- list_nth_shared_fwd i32 (ListCons (0%i32) l1) (2%u32);
+        i2 <- list_nth_shared_fwd i32 (ListCons 0%i32 l1) 2%u32;
         if negb (i2 s= 2%i32)
         then Fail_ Failure
         else (
-          ls <- list_nth_mut_back i32 (ListCons (0%i32) l1) (1%u32) (3%i32);
-          i3 <- list_nth_shared_fwd i32 ls (0%u32);
+          ls <- list_nth_mut_back i32 (ListCons 0%i32 l1) 1%u32 3%i32;
+          i3 <- list_nth_shared_fwd i32 ls 0%u32;
           if negb (i3 s= 0%i32)
           then Fail_ Failure
           else (
-            i4 <- list_nth_shared_fwd i32 ls (1%u32);
+            i4 <- list_nth_shared_fwd i32 ls 1%u32;
             if negb (i4 s= 3%i32)
             then Fail_ Failure
             else (
-              i5 <- list_nth_shared_fwd i32 ls (2%u32);
+              i5 <- list_nth_shared_fwd i32 ls 2%u32;
               if negb (i5 s= 2%i32) then Fail_ Failure else Return tt))))))
 .
 
@@ -448,7 +447,7 @@ Arguments Struct_with_pair_p {T1} {T2}.
 
 (** [no_nested_borrows::new_pair1] *)
 Definition new_pair1_fwd : result (Struct_with_pair_t u32 u32) :=
-  Return {| Struct_with_pair_p := {| Pair_x := (1%u32); Pair_y := (2%u32) |} |}
+  Return {| Struct_with_pair_p := {| Pair_x := 1%u32; Pair_y := 2%u32 |} |}
 .
 
 (** [no_nested_borrows::test_constants] *)
@@ -486,29 +485,26 @@ Check (test_weird_borrows1_fwd )%return.
 
 (** [no_nested_borrows::test_mem_replace] *)
 Definition test_mem_replace_fwd_back (px : u32) : result u32 :=
-  let y := mem_replace_fwd u32 px (1%u32) in
-  if negb (y s= 0%u32) then Fail_ Failure else Return (2%u32)
+  let y := mem_replace_fwd u32 px 1%u32 in
+  if negb (y s= 0%u32) then Fail_ Failure else Return 2%u32
 .
 
 (** [no_nested_borrows::test_shared_borrow_bool1] *)
 Definition test_shared_borrow_bool1_fwd (b : bool) : result u32 :=
-  if b then Return (0%u32) else Return (1%u32)
+  if b then Return 0%u32 else Return 1%u32
 .
 
 (** [no_nested_borrows::test_shared_borrow_bool2] *)
 Definition test_shared_borrow_bool2_fwd : result u32 :=
-  Return (0%u32).
+  Return 0%u32.
 
 (** [no_nested_borrows::test_shared_borrow_enum1] *)
 Definition test_shared_borrow_enum1_fwd (l : List_t u32) : result u32 :=
-  match l with
-  | ListCons i l0 => Return (1%u32)
-  | ListNil => Return (0%u32)
-  end
+  match l with | ListCons i l0 => Return 1%u32 | ListNil => Return 0%u32 end
 .
 
 (** [no_nested_borrows::test_shared_borrow_enum2] *)
 Definition test_shared_borrow_enum2_fwd : result u32 :=
-  Return (0%u32).
+  Return 0%u32.
 
 End NoNestedBorrows .
diff --git a/tests/coq/misc/Paper.v b/tests/coq/misc/Paper.v
index 8045222d..513bc749 100644
--- a/tests/coq/misc/Paper.v
+++ b/tests/coq/misc/Paper.v
@@ -12,7 +12,7 @@ Definition ref_incr_fwd_back (x : i32) : result i32 :=
 
 (** [paper::test_incr] *)
 Definition test_incr_fwd : result unit :=
-  x <- ref_incr_fwd_back (0%i32);
+  x <- ref_incr_fwd_back 0%i32;
   if negb (x s= 1%i32) then Fail_ Failure else Return tt
 .
 
@@ -32,12 +32,12 @@ Definition choose_back
 
 (** [paper::test_choose] *)
 Definition test_choose_fwd : result unit :=
-  z <- choose_fwd i32 true (0%i32) (0%i32);
+  z <- choose_fwd i32 true 0%i32 0%i32;
   z0 <- i32_add z 1%i32;
   if negb (z0 s= 1%i32)
   then Fail_ Failure
   else (
-    p <- choose_back i32 true (0%i32) (0%i32) z0;
+    p <- choose_back i32 true 0%i32 0%i32 z0;
     let (x, y) := p in
     if negb (x s= 1%i32)
     then Fail_ Failure
@@ -86,18 +86,18 @@ Fixpoint list_nth_mut_back
 Fixpoint sum_fwd (l : List_t i32) : result i32 :=
   match l with
   | ListCons x tl => i <- sum_fwd tl; i32_add x i
-  | ListNil => Return (0%i32)
+  | ListNil => Return 0%i32
   end
 .
 
 (** [paper::test_nth] *)
 Definition test_nth_fwd : result unit :=
   let l := ListNil in
-  let l0 := ListCons (3%i32) l in
-  let l1 := ListCons (2%i32) l0 in
-  x <- list_nth_mut_fwd i32 (ListCons (1%i32) l1) (2%u32);
+  let l0 := ListCons 3%i32 l in
+  let l1 := ListCons 2%i32 l0 in
+  x <- list_nth_mut_fwd i32 (ListCons 1%i32 l1) 2%u32;
   x0 <- i32_add x 1%i32;
-  l2 <- list_nth_mut_back i32 (ListCons (1%i32) l1) (2%u32) x0;
+  l2 <- list_nth_mut_back i32 (ListCons 1%i32 l1) 2%u32 x0;
   i <- sum_fwd l2;
   if negb (i s= 7%i32) then Fail_ Failure else Return tt
 .
diff --git a/tests/hol4/Holmakefile.template b/tests/hol4/Holmakefile.template
new file mode 100644
index 00000000..c86fad70
--- /dev/null
+++ b/tests/hol4/Holmakefile.template
@@ -0,0 +1,3 @@
+
+all: $(DEFAULT_TARGETS)
+.PHONY: all
diff --git a/tests/hol4/Makefile b/tests/hol4/Makefile
new file mode 100644
index 00000000..fa2c5512
--- /dev/null
+++ b/tests/hol4/Makefile
@@ -0,0 +1,39 @@
+ALL_DIRS ?= $(filter-out %~ Makefile% Holmakefile%, $(wildcard *))
+
+UPDATE_DIRS = $(addprefix update-,$(ALL_DIRS))
+
+VERIFY_DIRS = $(addprefix verif-,$(ALL_DIRS))
+
+CLEAN_DIRS = $(addprefix clean-,$(ALL_DIRS))
+
+COPY_HOLMAKEFILE = $(addprefix copy-holmakefile-,$(ALL_DIRS))
+
+# This allows to customize the INCLUDES variable of the Holmakefile - useful for Nix
+HOLMAKEFILE_INCLUDES ?= ../../../backends/hol4
+
+.PHONY: all
+all: prepare-projects verify
+
+.PHONY: prepare-projects
+prepare-projects: $(COPY_HOLMAKEFILE)
+
+.PHONY: prepare-projects
+copy-holmakefile-%:
+	rm -f $*/Holmakefile
+	echo "# This file was automatically generated - modify ../Holmakefile.template instead" >> $*/Holmakefile
+	echo "INCLUDES = " $(HOLMAKEFILE_INCLUDES) >> $*/Holmakefile
+	cat Holmakefile.template >> $*/Holmakefile
+
+.PHONY: verify
+verify: $(VERIFY_DIRS)
+
+.PHONY: verif-%
+verif-%:
+	cd $* && Holmake
+
+.PHONY: clean
+clean: $(CLEAN_DIRS)
+
+.PHONY: clean-%
+clean-%:
+	cd $* && Holmake clean
diff --git a/tests/lean/misc-no_nested_borrows/NoNestedBorrows.lean b/tests/lean/misc-no_nested_borrows/NoNestedBorrows.lean
index a73848de..12c7d8f7 100644
--- a/tests/lean/misc-no_nested_borrows/NoNestedBorrows.lean
+++ b/tests/lean/misc-no_nested_borrows/NoNestedBorrows.lean
@@ -249,8 +249,10 @@ def choose_test_fwd : Result Unit :=
 def test_char_fwd : Result Char :=
   Result.ret 'a'
 
+mutual
+
 /- [no_nested_borrows::NodeElem] -/
-mutual inductive node_elem_t (T : Type) :=
+inductive node_elem_t (T : Type) :=
 | Cons : tree_t T -> node_elem_t T -> node_elem_t T
 | Nil : node_elem_t T
 
@@ -258,6 +260,7 @@ mutual inductive node_elem_t (T : Type) :=
 inductive tree_t (T : Type) :=
 | Leaf : T -> tree_t T
 | Node : T -> node_elem_t T -> tree_t T -> tree_t T
+
 end
 
 /- [no_nested_borrows::list_length] -/
-- 
cgit v1.2.3