mirror of
https://github.com/ProgramSnail/pass_strategy_synthesis.git
synced 2026-06-10 19:28:16 +00:00
struct: model change in analyzer (tests are not fixed yet), semantics fixes
This commit is contained in:
ProgramSnail
parent
18481550d3
commit
60da9bdb3f
2 changed files with 263 additions and 119 deletions
|
|
@ -59,22 +59,26 @@ struct
|
|||
|
||||
(* value model & memory model *)
|
||||
|
||||
type deepvalue = ZeroDV
|
||||
| SmthDV
|
||||
| BotDV
|
||||
| FunDV of ((* data list * *) stmt) list
|
||||
| RefDV of deepvalue
|
||||
| TupleDV of deepvalue list
|
||||
(* type deepvalue = ZeroDV *)
|
||||
(* | SmthDV *)
|
||||
(* | BotDV *)
|
||||
(* | FunDV of ((* data list * *) stmt) list *)
|
||||
(* | RefDV of deepvalue *)
|
||||
(* | TupleDV of deepvalue list *)
|
||||
|
||||
type value = ZeroV
|
||||
| SmthV
|
||||
| BotV
|
||||
type memval = ZeroMV | SmthMV | BotMV (* | TopMV ?? *)
|
||||
type readval = ZeroRV | OneRV | TopRV
|
||||
type writeval = ZeroWV | SmthWV | OneWV
|
||||
|
||||
type value = UnitV of memval * readval * writeval
|
||||
| FunV of ((* data list * *) stmt) list
|
||||
| RefV of memid
|
||||
| TupleV of value list
|
||||
|
||||
type revpath = VarRP | DerefRP of revpath | AccessRP of revpath * data
|
||||
|
||||
type action = ReadA | AlwaysWriteA | MayWriteA
|
||||
|
||||
(* TODO: any additional difference between rvalue and lvalue now ?? *)
|
||||
|
||||
(* --- *)
|
||||
|
|
@ -138,16 +142,17 @@ struct
|
|||
let mem_set (mem : mem) (id : memid) (v : value) : mem =
|
||||
(list_replace (fst mem) (snd mem - id - 1) v, snd mem)
|
||||
|
||||
let rec v_to_deepv (mem : mem) (v : value) : deepvalue = match v with
|
||||
| ZeroV -> ZeroDV
|
||||
| SmthV -> SmthDV
|
||||
| BotV -> BotDV
|
||||
| FunV s -> FunDV s
|
||||
| RefV id -> RefDV (v_to_deepv mem @@ mem_get mem id)
|
||||
| TupleV vs -> TupleDV (List.map (v_to_deepv mem) vs)
|
||||
(* let rec v_to_deepv (mem : mem) (v : value) : deepvalue = match v with *)
|
||||
(* | ZeroV -> ZeroDV *)
|
||||
(* | SmthV -> SmthDV *)
|
||||
(* | BotV -> BotDV *)
|
||||
(* | FunV s -> FunDV s *)
|
||||
(* | RefV id -> RefDV (v_to_deepv mem @@ mem_get mem id) *)
|
||||
(* | TupleV vs -> TupleDV (List.map (v_to_deepv mem) vs) *)
|
||||
|
||||
let is_trivial_v (v : value) : bool =
|
||||
v == ZeroV || v == SmthV || v == BotV
|
||||
match v with | UnitV (_, _, _) -> true
|
||||
| _ -> false
|
||||
|
||||
(* --- path accessors --- *)
|
||||
|
||||
|
|
@ -191,19 +196,9 @@ struct
|
|||
(* - value construction *)
|
||||
|
||||
let rec valcopy (mem : mem) (v : value) (t : atype) : mem * value =
|
||||
if is_trivial_v v
|
||||
then match t with
|
||||
| UnitT (Rd, _) -> (mem, v)
|
||||
| UnitT (NRd, _) -> (mem, BotV)
|
||||
| _ -> raise @@ Typing_error "valcopy: trivial value, wrong type"
|
||||
else match t, v with
|
||||
(* NOTE: replaced with if | best choice ?? *)
|
||||
(* | UnitT (Rd, w), ZeroV -> (mem, v) *)
|
||||
(* | UnitT (Rd, w), SmthV -> (mem, v) *)
|
||||
(* | UnitT (Rd, w), BotV -> (mem, v) *)
|
||||
(* | UnitT (NRd, w), ZeroV -> (mem, BotV) *)
|
||||
(* | UnitT (NRd, w), SmthV -> (mem, BotV) *)
|
||||
(* | UnitT (NRd, w), BotV -> (mem, BotV) *)
|
||||
match t, v with
|
||||
| UnitT (Rd, _), UnitV (v_m, _, _) -> (mem, UnitV (v_m, ZeroRV, ZeroWV))
|
||||
| UnitT (NRd, _), UnitV _ -> (mem, UnitV (BotMV, ZeroRV, ZeroWV))
|
||||
| FunT _, FunV _ -> (mem, v)
|
||||
| RefT (Rf, _), RefV _ -> (mem, v)
|
||||
| RefT (Cp, t), RefV id -> let (mem', v') = valcopy mem (mem_get mem id) t in
|
||||
|
|
@ -215,25 +210,78 @@ struct
|
|||
(mem', TupleV (List.rev vs')) (* TODO: FIXME: should reverse or not ?? *)
|
||||
| _, _ -> raise @@ Typing_error "valcopy: not trivial value, wrong type"
|
||||
|
||||
(* - action rules *)
|
||||
|
||||
let memvmod (a : action) (v_m : memval) : memval =
|
||||
match a, v_m with
|
||||
| ReadA, ZeroMV -> ZeroMV
|
||||
| ReadA, _ -> raise @@ Typing_error "memvmod: forbidden read"
|
||||
| AlwaysWriteA, _ -> ZeroMV
|
||||
| MayWriteA, ZeroMV -> ZeroMV
|
||||
| MayWriteA, _ -> SmthMV
|
||||
|
||||
let readvmod (a : action) (v_r : readval) : readval =
|
||||
match a, v_r with
|
||||
| _, TopRV -> TopRV
|
||||
| _, OneRV -> OneRV
|
||||
| ReadA, ZeroRV -> OneRV
|
||||
| AlwaysWriteA, ZeroRV -> TopRV
|
||||
| MayWriteA, ZeroRV -> ZeroRV
|
||||
|
||||
let writevmod (a : action) (v_w : writeval) : writeval =
|
||||
match a, v_w with
|
||||
| ReadA, v -> v
|
||||
| AlwaysWriteA, _ -> OneWV
|
||||
| MayWriteA, OneWV -> OneWV
|
||||
| MayWriteA, v -> v
|
||||
|
||||
(* - value update *)
|
||||
|
||||
let rec valupd (mem : mem) (v : value) (p : revpath) (b : value) : mem * value = match p, v with
|
||||
(* TODO: change and modify are different *)
|
||||
|
||||
let rec valchange (mem : mem) (v : value) (p : revpath) (b : value) : mem * value = match p, v with
|
||||
| VarRP, _ -> (mem, b)
|
||||
| DerefRP p, RefV id -> let (mem', v') = valupd mem (mem_get mem id) p b in
|
||||
| DerefRP p, RefV id -> let (mem', v') = valchange mem (mem_get mem id) p b in
|
||||
(mem_set mem' id v', RefV id)
|
||||
| AccessRP (p, id), TupleV vs -> let (mem', v') = (* FIXME TMP Printf.printf "vs size=%i id=%i\n" (List.length vs) id; *)
|
||||
valupd mem (List.nth vs id) p b in
|
||||
(* FIXME TMP Printf.printf "before return\n"; *)
|
||||
| AccessRP (p, id), TupleV vs -> let (mem', v') = valchange mem (List.nth vs id) p b in
|
||||
(mem', TupleV (list_replace vs id v'))
|
||||
| _, _ -> raise @@ Typing_error "valupd"
|
||||
|
||||
let rec valupd (mem : mem) (v : value) (p : revpath) (a : action) : mem * value = match p, v with
|
||||
| VarRP, UnitV (v_m, v_r, v_w) -> (mem, UnitV (memvmod a v_m, readvmod a v_r, writevmod a v_w))
|
||||
| DerefRP p, RefV id -> let (mem', v') = valupd mem (mem_get mem id) p a in
|
||||
(mem_set mem' id v', RefV id)
|
||||
| AccessRP (p, id), TupleV vs -> let (mem', v') = valupd mem (List.nth vs id) p a in
|
||||
(mem', TupleV (list_replace vs id v'))
|
||||
| _, _ -> raise @@ Typing_error "valupd"
|
||||
|
||||
(* - value combination *)
|
||||
|
||||
let memvalcomb (u : memval) (v : memval) : memval =
|
||||
match u, v with
|
||||
| ZeroMV, ZeroMV -> ZeroMV
|
||||
| BotMV, BotMV -> BotMV
|
||||
| _, _ -> SmthMV
|
||||
|
||||
let readvalcomb (u : readval) (v : readval) : readval =
|
||||
match u, v with
|
||||
| TopRV, TopRV -> TopRV
|
||||
| ZeroRV, ZeroRV -> ZeroRV
|
||||
| TopRV, ZeroRV -> ZeroRV
|
||||
| ZeroRV, TopRV -> ZeroRV
|
||||
| _, _ -> OneRV
|
||||
|
||||
let writevalcomb (u : writeval) (v : writeval) : writeval =
|
||||
match u, v with
|
||||
| OneWV, OneWV -> OneWV
|
||||
| ZeroWV, ZeroWV -> ZeroWV
|
||||
| _, _ -> SmthWV
|
||||
|
||||
let rec valcomb (u : value) (v : value) : value =
|
||||
if is_trivial_v u && is_trivial_v v
|
||||
then (if u == v then u else BotV)
|
||||
else match u, v with
|
||||
| FunV ustmts, FunV vstmts -> FunV (ustmts @ vstmts)
|
||||
match u, v with
|
||||
| UnitV (u_m, u_r, u_w), UnitV (v_m, v_r, v_w) ->
|
||||
UnitV (memvalcomb u_m v_m, readvalcomb u_r v_r, writevalcomb u_w v_w)
|
||||
| FunV ustmts, FunV vstmts -> FunV (ustmts @ vstmts)
|
||||
| RefV a, RefV b -> if a == b then u else raise @@ Typing_error "valcomb: ref"
|
||||
| TupleV us, TupleV vs -> TupleV (List.map2 valcomb us vs)
|
||||
| _, _ -> raise @@ Typing_error "valcomb"
|
||||
|
|
@ -246,7 +294,7 @@ struct
|
|||
(* - expression evaluation *)
|
||||
|
||||
let rec exprval (mem : mem) (vals : vals) (e : expr) : value = match e with
|
||||
| UnitE -> ZeroV
|
||||
| UnitE -> UnitV (ZeroMV, ZeroRV, ZeroWV)
|
||||
| PathE p -> pathval mem vals p
|
||||
| RefE x -> RefV (vals_assoc x vals)
|
||||
| TupleE es -> TupleV (List.map (exprval mem vals) es)
|
||||
|
|
@ -287,48 +335,65 @@ struct
|
|||
|
||||
(* - call values spoil *)
|
||||
|
||||
(* TODO: check assignment type matches types separately later ?? *)
|
||||
(* TODO: check all cases *)
|
||||
let is_correct_tags (v : value) (r : read_cap) (w : write_cap)
|
||||
(r' : read_cap) (w' : write_cap) (m : mode)
|
||||
(c : copy_cap) : bool =
|
||||
(* FIXME TMP *)
|
||||
(* Printf.printf "%b %b %b %b %b\n" *)
|
||||
(* (r != Rd || v == ZeroV) *)
|
||||
(* (r != Rd || fst m == In) *)
|
||||
(* (snd m != Out || w == AlwaysWr) *)
|
||||
(* (* TODO: FIXME: why always write ?? *) *)
|
||||
(* (((not ((w == AlwaysWr || w == MayWr) && (snd m == Out || c == Rf))) || w' == AlwaysWr)) *)
|
||||
(* (is_trivial_v v); *)
|
||||
(r != Rd || v == ZeroV) &&
|
||||
(r != Rd || fst m == In) &&
|
||||
let is_correct_tags (r : read_cap) (w : write_cap)
|
||||
(m : mode) (c : copy_cap) : bool =
|
||||
(snd m != Out || c == Rf) &&
|
||||
(snd m != Out || w == AlwaysWr) &&
|
||||
(* TODO: FIXME: check *)
|
||||
((not ((w == AlwaysWr || w == MayWr) && (snd m == Out || c == Rf))) || w' == AlwaysWr) &&
|
||||
is_trivial_v v
|
||||
(r != Rd || fst m == In)
|
||||
|
||||
let tryread (r : read_cap) (v_m : memval)
|
||||
(v_r : readval) (v_w : writeval) : value =
|
||||
match r with
|
||||
| Rd -> UnitV (memvmod ReadA v_m,
|
||||
readvmod ReadA v_r,
|
||||
writevmod ReadA v_w)
|
||||
| NRd -> UnitV (v_m, v_r, v_w)
|
||||
|
||||
let tryspoil (m : mode) (w : write_cap) (v_m : memval) : memval =
|
||||
match m, w with
|
||||
| (_, Out), AlwaysWr -> v_m
|
||||
| (_, Out), MayWr -> v_m
|
||||
| (_, NOut), AlwaysWr -> BotMV
|
||||
| (_, NOut), MayWr -> SmthMV
|
||||
| _ -> raise @@ Typing_error "tryspoil: unexpected pair mode + write cap"
|
||||
|
||||
let rec valspoil (mem : mem) (v : value) (t : atype)
|
||||
(u : atype) (m : mode) (c : copy_cap)
|
||||
: mem * value = match t, u, v with
|
||||
| UnitT (r, w), UnitT (r', w'), _ ->
|
||||
if not @@ is_trivial_v v
|
||||
then raise @@ Typing_error "valspoil: unit, not trivial"
|
||||
else if not @@ is_correct_tags v r w r' w' m c
|
||||
(m : mode) (c : copy_cap)
|
||||
: mem * value = match t, v with
|
||||
| UnitT (r, w), UnitV (v_m, v_r, v_w) ->
|
||||
if not @@ is_correct_tags r w m c
|
||||
then raise @@ Typing_error "valspoil: unit, not correct"
|
||||
else if snd m == NOut && c == Rf && (w == AlwaysWr || w == MayWr)
|
||||
then (mem, BotV)
|
||||
else if snd m == Out && w == AlwaysWr
|
||||
then (mem, ZeroV)
|
||||
else (mem, v)
|
||||
| FunT ts, FunT us, FunV _ -> if ts == us then (mem, v) else raise @@ Typing_error "valspoil: fun"
|
||||
| RefT (ct, t), RefT (cu, u), RefV id ->
|
||||
let (mem', v') = valspoil mem (mem_get mem id) t u m ct in
|
||||
else
|
||||
let v' = tryread r v_m v_r v_w in
|
||||
if c == Cp || w == NeverWr
|
||||
then (mem, v')
|
||||
else (match v' with
|
||||
| UnitV (v_m', v_r', v_w') ->
|
||||
let (v_m'', v_r'', v_w'') =
|
||||
(if w == AlwaysWr
|
||||
then (memvmod AlwaysWriteA v_m',
|
||||
readvmod AlwaysWriteA v_r',
|
||||
writevmod AlwaysWriteA v_w')
|
||||
else (* MayWr *)
|
||||
(memvmod MayWriteA v_m',
|
||||
readvmod MayWriteA v_r',
|
||||
writevmod MayWriteA v_w'))
|
||||
in
|
||||
let v_m''' = tryspoil m w v_m'' in
|
||||
(mem, UnitV (v_m''', v_r'', v_w''))
|
||||
| _ -> raise @@ Typing_error "valspoil: value after tryread is not unit")
|
||||
| FunT ts, FunV _ -> (mem, v)
|
||||
| RefT (ct, t), RefV id ->
|
||||
let (mem', v') = valspoil mem (mem_get mem id) t m ct in
|
||||
(mem_set mem id v', RefV id)
|
||||
| TupleT ts, TupleT us, TupleV vs ->
|
||||
let folder = fun (mem, vs') t u v ->
|
||||
let (mem', v') = valspoil mem v t u m c in (mem', v' :: vs') in
|
||||
let (mem', vs') = list_foldl3 folder (mem, []) ts us vs in
|
||||
| TupleT ts, TupleV vs ->
|
||||
let folder = fun (mem, vs') t v ->
|
||||
let (mem', v') = valspoil mem v t m c in (mem', v' :: vs') in
|
||||
let (mem', vs') = List.fold_left2 folder (mem, []) ts vs in
|
||||
(mem', TupleV (List.rev vs'))
|
||||
| _, _, _ -> raise @@ Typing_error "valspoil"
|
||||
| _, _ -> raise @@ Typing_error "valspoil"
|
||||
|
||||
(* full spoil *)
|
||||
|
||||
|
|
@ -337,11 +402,11 @@ struct
|
|||
let x = pathvar p in
|
||||
let id = vals_assoc x vals in (* base var address *)
|
||||
let b = pathval mem vals p in (* subvalue in var *)
|
||||
let t' = pathtype types p in (* type of subvalue *)
|
||||
let (mem', b') = valspoil mem b t t' m Cp in (* spoil subvalue *)
|
||||
(* let t' = pathtype types p in (* type of subvalue *) *)
|
||||
let (mem', b') = valspoil mem b t m Cp in (* spoil subvalue *)
|
||||
(* TODO: FIXME: why copy (Cp)? maybe sometimes use top-level capability ? *)
|
||||
let pi = pathrev p VarRP in
|
||||
let (mem'', v'') = valupd mem' (mem_get mem' id) pi b' in (* set subvalue into var *)
|
||||
let (mem'', v'') = valchange mem' (mem_get mem' id) pi b' in (* set subvalue into var *)
|
||||
mem_set mem'' id v''
|
||||
|
||||
let rec argsspoile (state : state) (m : mode) (t : atype) (e : expr) : mem =
|
||||
|
|
@ -369,15 +434,32 @@ struct
|
|||
(* NOTE: not needed due to performed optimization in stmt_eval *)
|
||||
(* let func_eval (mem : mem) (vals : vals) (s : stmt) (ts : mtype list) (es : expr list) = *)
|
||||
|
||||
let writeval_to_cap (v_w : writeval) : write_cap =
|
||||
match v_w with
|
||||
| ZeroWV -> NeverWr
|
||||
| SmthWV -> MayWr
|
||||
| OneWV -> AlwaysWr
|
||||
|
||||
let rec tags_check (mem : mem) (v : value) (t : atype) : unit =
|
||||
match v, t with
|
||||
| UnitV (v_m, v_r, v_w), UnitT (r, w) ->
|
||||
if (r == Rd) != (v_r == OneRV)
|
||||
then raise @@ Eval_error "tags_check: wrong read tag"
|
||||
else if writeval_to_cap v_w != w
|
||||
then raise @@ Eval_error "tags_check: wrong write tag"
|
||||
else ()
|
||||
| FunV _, FunT _ -> ()
|
||||
| RefV id, RefT (_, t) -> tags_check mem (mem_get mem id) t
|
||||
| TupleV vs, TupleT ts -> ignore @@ List.map2 (tags_check mem) vs ts
|
||||
| _, _ -> raise @@ Typing_error "tags_check"
|
||||
|
||||
(* - statement evaluation *)
|
||||
|
||||
let rec stmt_eval (state : state) (s : stmt) : state =
|
||||
match state with (mem, types, vals, visited) -> match s with
|
||||
| SkipS -> state
|
||||
| CallS (f, es) -> let v = (* FIXME TMP Printf.printf "call, before v\n"; *)
|
||||
pathval mem vals f in
|
||||
let t = (* FIXME TMP Printf.printf "call, before t\n"; *)
|
||||
pathtype types f in
|
||||
| CallS (f, es) -> let v = pathval mem vals f in
|
||||
let t = pathtype types f in
|
||||
let types' : types = (fst types, fst types) in
|
||||
let vals' : vals = (fst vals, fst vals) in
|
||||
(match v, t with
|
||||
|
|
@ -394,7 +476,14 @@ struct
|
|||
if List.mem stmt visited_old
|
||||
then stmt :: visited_old
|
||||
else match stmt_eval (mem_swa, types_swa, vals_swa, stmt :: visited_old) stmt with
|
||||
(_, _, _, visited_after_stmt) -> visited_after_stmt)
|
||||
(mem_after_stmt, _, vals_after_stmt, visited_after_stmt) ->
|
||||
ignore @@ List.fold_right
|
||||
(fun (_, t) x ->
|
||||
let id = vals_assoc x vals_after_stmt in
|
||||
let v = mem_get mem_after_stmt id in
|
||||
tags_check mem_after_stmt v t; x + 1)
|
||||
ts 0;
|
||||
visited_after_stmt)
|
||||
visited_swa
|
||||
fstmts in
|
||||
let mem_spoiled = (* FIXME TMP Printf.printf "call, before spoil\n"; *)
|
||||
|
|
@ -412,16 +501,26 @@ struct
|
|||
else let x = pathvar p in
|
||||
let id = vals_assoc x vals in
|
||||
let pi = pathrev p VarRP in
|
||||
let (mem', v') = valupd mem (mem_get mem id) pi ZeroV in
|
||||
let (mem', v') = valupd mem (mem_get mem id) pi AlwaysWriteA in
|
||||
(mem_set mem' id v', types, vals, visited)
|
||||
| RefT _ -> raise @@ Eval_error "write: ref type"
|
||||
| TupleT _ -> raise @@ Eval_error "write: tuple type"
|
||||
| _ -> raise @@ Eval_error "write: type")
|
||||
| ReadS p -> if pathval mem vals p == SmthV || pathval mem vals p == BotV
|
||||
then raise @@ Eval_error "read: spoiled value"
|
||||
else if pathval mem vals p != ZeroV
|
||||
then raise @@ Eval_error "read: nontrivial value"
|
||||
else state
|
||||
| ReadS p -> (match pathtype types p with
|
||||
| UnitT (r, _) ->
|
||||
if r == NRd
|
||||
then raise @@ Eval_error "read: write tag"
|
||||
else let x = pathvar p in
|
||||
let id = vals_assoc x vals in
|
||||
let pi = pathrev p VarRP in
|
||||
let (mem', v') = valupd mem (mem_get mem id) pi ReadA in
|
||||
(mem_set mem' id v', types, vals, visited)
|
||||
| RefT _ -> raise @@ Eval_error "read: ref type"
|
||||
| TupleT _ -> raise @@ Eval_error "read: tuple type"
|
||||
| _ -> raise @@ Eval_error "read: type")
|
||||
(* NOTE: handled inside through undefined in memvmod *)
|
||||
(* if pathval mem vals p == SmthV || pathval mem vals p == BotV *)
|
||||
(* then raise @@ Eval_error "read: spoiled value" *)
|
||||
| SeqS (sl, sr) -> let statel = stmt_eval state sl in
|
||||
stmt_eval statel sr
|
||||
| ChoiceS (sl, sr) -> let statel = stmt_eval state sl in
|
||||
|
|
@ -518,23 +617,25 @@ struct
|
|||
let rdS p = ReadS p
|
||||
let callS f args = CallS (f, args)
|
||||
|
||||
let uV m = UnitV (m, ZeroRV, ZeroWV)
|
||||
|
||||
(* - utils tests *)
|
||||
|
||||
let%expect_test "mem add / get / set" =
|
||||
let mem = empty_mem in
|
||||
let (mem, id1) = mem_add mem ZeroV in
|
||||
let (mem, id2) = mem_add mem SmthV in
|
||||
let (mem, id3) = mem_add mem BotV in
|
||||
let (mem, id1) = mem_add mem @@ uV ZeroMV in
|
||||
let (mem, id2) = mem_add mem @@ uV SmthMV in
|
||||
let (mem, id3) = mem_add mem @@ uV BotMV in
|
||||
Printf.printf "%i %i %i " id1 id2 id3;
|
||||
Printf.printf "%b %b %b " (mem_get mem id1 == ZeroV)
|
||||
(mem_get mem id2 == SmthV)
|
||||
(mem_get mem id3 == BotV);
|
||||
let mem = mem_set mem id1 BotV in
|
||||
let mem = mem_set mem id2 ZeroV in
|
||||
let mem = mem_set mem id3 SmthV in
|
||||
Printf.printf "%b %b %b" (mem_get mem id1 == BotV)
|
||||
(mem_get mem id2 == ZeroV)
|
||||
(mem_get mem id3 == SmthV);
|
||||
Printf.printf "%b %b %b " (mem_get mem id1 == uV ZeroMV)
|
||||
(mem_get mem id2 == uV SmthMV)
|
||||
(mem_get mem id3 == uV BotMV);
|
||||
let mem = mem_set mem id1 @@ uV BotMV in
|
||||
let mem = mem_set mem id2 @@ uV ZeroMV in
|
||||
let mem = mem_set mem id3 @@ uV SmthMV in
|
||||
Printf.printf "%b %b %b" (mem_get mem id1 == uV BotMV)
|
||||
(mem_get mem id2 == uV ZeroMV)
|
||||
(mem_get mem id3 == uV SmthMV);
|
||||
[%expect {| 0 1 2 true true true true true true |}]
|
||||
|
||||
(* - basic var tests *)
|
||||
|
|
|
|||
|
|
@ -816,9 +816,9 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
$bot$, $0$, $?$,
|
||||
$bot$, $?$, $?$,
|
||||
// $bot$, $top$, $?$,
|
||||
$top$, $0$, $?$,
|
||||
$top$, $?$, $?$,
|
||||
$top$, $bot$, $?$,
|
||||
// $top$, $0$, $?$,
|
||||
// $top$, $?$, $?$,
|
||||
// $top$, $bot$, $?$,
|
||||
$bot$, $bot$, $bot$,
|
||||
// $top$, $top$, $top$,
|
||||
),
|
||||
|
|
@ -942,7 +942,7 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
rule(
|
||||
name: [ unit expr value],
|
||||
|
||||
$vals, mu texpre () eqmu 0$,
|
||||
$vals, mu texpre () eqmu cdl 0_m, 0_r, 0_w cdr$,
|
||||
)
|
||||
))
|
||||
|
||||
|
|
@ -1064,6 +1064,7 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
|
||||
#let spoil = `spoil`
|
||||
#let tryread = `try read`
|
||||
#let tryspoil = `try spoil`
|
||||
|
||||
#let tcorrectnew = $attach(tack.r.double, br: #[correct])$
|
||||
#align(center, prooftree(
|
||||
|
|
@ -1105,7 +1106,44 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
)
|
||||
))
|
||||
|
||||
// TODO: extract correctness
|
||||
#h(10pt)
|
||||
|
||||
#align(center, prooftree(
|
||||
vertical-spacing: 4pt,
|
||||
rule(
|
||||
name: [ value maybe spoiled],
|
||||
|
||||
$v_m,
|
||||
xarrowSquiggly(not Out \, MaybeWrite)_tryspoil
|
||||
?$,
|
||||
)
|
||||
))
|
||||
|
||||
#h(10pt)
|
||||
|
||||
#align(center, prooftree(
|
||||
vertical-spacing: 4pt,
|
||||
rule(
|
||||
name: [ value always spoiled],
|
||||
|
||||
$v_m,
|
||||
xarrowSquiggly(not Out \, AlwaysWrite)_tryspoil
|
||||
bot$,
|
||||
)
|
||||
))
|
||||
|
||||
#h(10pt)
|
||||
|
||||
#align(center, prooftree(
|
||||
vertical-spacing: 4pt,
|
||||
rule(
|
||||
name: [ value not spoiled],
|
||||
|
||||
$v_m,
|
||||
xarrowSquiggly(Out \, w)_tryspoil
|
||||
v_m$,
|
||||
)
|
||||
))
|
||||
|
||||
#h(10pt)
|
||||
|
||||
|
|
@ -1119,10 +1157,11 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
xarrowSquiggly(r)_tryread
|
||||
cl v_m', v_r', v_w' cr$,
|
||||
|
||||
$w = AlwaysWrite$,
|
||||
$v_m' modW writeA xarrowSquiggly(o \, AlwaysWrite)_tryspoil v_m''$,
|
||||
|
||||
$cl cdl v_m, v_r, v_w cdr, mu cr
|
||||
xarrowSquiggly(cl r \, w cr \, (\_, not Out) \, Ref)_spoil
|
||||
cl cdl bot, v_r' modR writeA, v_w' modW writeA cdr, cdr, mu cr$,
|
||||
xarrowSquiggly(cl r \, AlwaysWrite cr \, (\_, o) \, Ref)_spoil
|
||||
cl cdl v_m'', v_r' modR writeA, v_w' modW writeA cdr, cdr, mu cr$,
|
||||
)
|
||||
))
|
||||
|
||||
|
|
@ -1138,10 +1177,11 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
xarrowSquiggly(r)_tryread
|
||||
cl v_m', v_r', v_w' cr$,
|
||||
|
||||
$w = MaybeWrite$,
|
||||
$v_m' modW mbwriteA xarrowSquiggly(o \, MaybeWrite)_tryspoil v_m''$,
|
||||
|
||||
$cl cdl v_m, v_r, v_w cdr, mu cr
|
||||
xarrowSquiggly(cl r \, w cr \, (\_, not Out) \, Ref)_spoil
|
||||
cl cdl ?, v_r' modR mbwriteA, v_w' modW mbwriteA cdr, mu cr$,
|
||||
xarrowSquiggly(cl r \, MaybeWrite cr \, (\_, o) \, Ref)_spoil
|
||||
cl cdl v_m'', v_r' modR mbwriteA, v_w' modW mbwriteA cdr, mu cr$,
|
||||
)
|
||||
))
|
||||
|
||||
|
|
@ -1153,12 +1193,15 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
name: [ skip step],
|
||||
|
||||
$ tcorrectnew cl r, w, m, c cr $,
|
||||
$cl v_m, v_r, v_w cr,
|
||||
xarrowSquiggly(r)_tryread
|
||||
cl v_m', v_r', v_w' cr$,
|
||||
|
||||
$o == Out or c == Copy or w = NotWrite$,
|
||||
$c = Copy or w = NotWrite$,
|
||||
|
||||
$cl cdl v_m, v_r, v_w cdr, mu cr
|
||||
xarrowSquiggly(cl r \, w cr cr \, (\_, o) \, c)_spoil
|
||||
cl cdl v_m, v_r, v_w cdr mu cr$,
|
||||
xarrowSquiggly(cl r \, w cr cr \, (\_, \_) \, c)_spoil
|
||||
cl cdl v_m', v_r', v_w' cdr mu cr$,
|
||||
)
|
||||
))
|
||||
|
||||
|
|
@ -1344,7 +1387,7 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
rule(
|
||||
name: [ lambda check],
|
||||
|
||||
$mu ttags lambda overline(s) :$,
|
||||
$mu ttags lambda space overline(s) :$,
|
||||
)
|
||||
))
|
||||
#align(center, prooftree(
|
||||
|
|
@ -1393,9 +1436,9 @@ $s in stmt, f in X, x in X, a in X, p in path, pi in revpath$
|
|||
cl types', vals', mu' cr$,
|
||||
|
||||
// NOTE: check that read and write tags are used properly
|
||||
$mu' ttags x_1 : t_1$,
|
||||
$mu' ttags mu'[vals'[x_1]] : t_1$,
|
||||
$...$,
|
||||
$mu' ttags x_n : t_n$,
|
||||
$mu' ttags mu'[vals'[x_n]] : t_n$,
|
||||
|
||||
$vals, mu_0 tfunceval cl s, [x_1, .. x_n], [t_1, ... t_n], [e_1, ... e_n] cr$,
|
||||
)
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue