mirror of
https://github.com/c-cube/sidekick.git
synced 2025-12-06 11:15:43 -05:00
wip: refactor further
This commit is contained in:
parent
fc5ce9bf87
commit
95dcb0ae74
9 changed files with 374 additions and 337 deletions
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@ -35,6 +35,7 @@ val imply : Term.store -> term -> term -> term
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val equiv : Term.store -> term -> term -> term
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val equiv : Term.store -> term -> term -> term
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val xor : Term.store -> term -> term -> term
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val xor : Term.store -> term -> term -> term
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val ite : Term.store -> term -> term -> term -> term
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val ite : Term.store -> term -> term -> term -> term
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val distinct_l : Term.store -> term list -> term
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(* *)
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(* *)
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@ -18,6 +18,7 @@
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module Types_ = Types_
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module Types_ = Types_
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module Term = Sidekick_core.Term
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module Term = Sidekick_core.Term
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module Const = Sidekick_core.Const
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module Ty = Ty
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module Ty = Ty
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module ID = ID
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module ID = ID
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module Form = Form
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module Form = Form
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@ -46,6 +46,16 @@ end
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let int tst : ty = mk_ty0 tst Ty_int
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let int tst : ty = mk_ty0 tst Ty_int
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let real tst : ty = mk_ty0 tst Ty_real
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let real tst : ty = mk_ty0 tst Ty_real
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let is_real t =
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match Term.view t with
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| E_const { Const.c_view = Ty Ty_real; _ } -> true
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| _ -> false
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let is_int t =
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match Term.view t with
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| E_const { Const.c_view = Ty Ty_int; _ } -> true
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| _ -> false
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let uninterpreted tst id : t =
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let uninterpreted tst id : t =
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mk_ty0 tst (Ty_uninterpreted { id; finite = false })
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mk_ty0 tst (Ty_uninterpreted { id; finite = false })
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@ -14,6 +14,8 @@ val real : store -> t
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val int : store -> t
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val int : store -> t
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val uninterpreted : store -> ID.t -> t
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val uninterpreted : store -> ID.t -> t
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val is_uninterpreted : t -> bool
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val is_uninterpreted : t -> bool
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val is_real : t -> bool
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val is_int : t -> bool
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(* TODO: separate functor?
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(* TODO: separate functor?
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val finite : t -> bool
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val finite : t -> bool
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@ -1,224 +1,235 @@
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(* pure SAT solver *)
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(* pure SAT solver *)
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open Sidekick_core
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module E = CCResult
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module E = CCResult
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module SS = Sidekick_sat
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module SS = Sidekick_sat
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module Lit = struct
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(* FIXME
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type t = int
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(* TODO: on the fly compression *)
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module Proof : sig
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include module type of struct
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include Proof_trace
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end
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let norm_sign t =
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type in_memory
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if t > 0 then
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t, true
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else
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-t, false
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let abs = abs
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val create_in_memory : unit -> t * in_memory
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let sign t = t > 0
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val to_string : in_memory -> string
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let equal = CCInt.equal
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val to_chan : out_channel -> in_memory -> unit
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let hash = CCHash.int
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val create_to_file : string -> t
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let neg x = -x
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val close : t -> unit
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let pp = Fmt.int
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end
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(* TODO: on the fly compression *)
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type event = Sidekick_bin_lib.Drup_parser.event =
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module Proof : sig
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| Input of int list
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include Sidekick_sigs_proof_trace.S
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| Add of int list
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| Delete of int list
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module Rule :
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val iter_events : in_memory -> event Iter.t
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Sidekick_sat.PROOF_RULES
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end = struct
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with type lit = Lit.t
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include Proof_trace
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and type rule = A.rule
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module PT = Proof_term
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and type step_id = A.step_id
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type in_memory
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let bpf = Printf.bprintf
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let fpf = Printf.fprintf
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val dummy : t
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type lit = Lit.t
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val create_in_memory : unit -> t * in_memory
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type in_memory = Buffer.t
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val to_string : in_memory -> string
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val to_chan : out_channel -> in_memory -> unit
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val create_to_file : string -> t
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val close : t -> unit
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type event = Sidekick_bin_lib.Drup_parser.event =
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let to_string = Buffer.contents
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| Input of int list
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| Add of int list
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| Delete of int list
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val iter_events : in_memory -> event Iter.t
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(*
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type t =
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| Dummy
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| Inner of in_memory
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| Out of { oc: out_channel; close: unit -> unit }
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*)
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let[@inline] emit_lits_buf_ buf lits = lits (fun i -> bpf buf "%d " i)
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let[@inline] emit_lits_out_ oc lits = lits (fun i -> fpf oc "%d " i)
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let create_in_memory () =
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let buf = Buffer.create 1_024 in
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let pr =
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(module struct
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let enabled () = true
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let add_step s = assert false
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(* TODO: helper to flatten?
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let pt : PT.t = s () in
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match pt.
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*)
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(* TODO *)
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let add_unsat _ = ()
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(* TODO *)
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let delete _ = ()
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end : DYN)
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in
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pr, buf
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(*
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module Rule = struct
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type nonrec lit = lit
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type nonrec rule = rule
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type nonrec step_id = step_id
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let sat_input_clause lits self =
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match self with
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| Dummy -> ()
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| Inner buf ->
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bpf buf "i ";
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emit_lits_buf_ buf lits;
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bpf buf "0\n"
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| Out { oc; _ } ->
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fpf oc "i ";
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emit_lits_out_ oc lits;
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fpf oc "0\n"
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let sat_redundant_clause lits ~hyps:_ self =
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match self with
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| Dummy -> ()
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| Inner buf ->
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bpf buf "r ";
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emit_lits_buf_ buf lits;
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bpf buf "0\n"
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| Out { oc; _ } ->
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fpf oc "r ";
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emit_lits_out_ oc lits;
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fpf oc "0\n"
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let sat_unsat_core _ _ = ()
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end
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let del_clause () lits self =
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match self with
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| Dummy -> ()
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| Inner buf ->
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bpf buf "d ";
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emit_lits_buf_ buf lits;
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bpf buf "0\n"
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| Out { oc; _ } ->
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fpf oc "d ";
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emit_lits_out_ oc lits;
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fpf oc "0\n"
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let create_in_memory () : t * in_memory =
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let buf = Buffer.create 1_024 in
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Inner buf, buf
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let create_to_file file =
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let oc, close =
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match Filename.extension file with
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| ".gz" ->
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let cmd = Printf.sprintf "gzip -c - > \"%s\"" (String.escaped file) in
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Log.debugf 1 (fun k -> k "proof file: command is %s" cmd);
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let oc = Unix.open_process_out cmd in
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oc, fun () -> ignore (Unix.close_process_out oc : Unix.process_status)
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| ".drup" ->
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let oc = open_out_bin file in
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oc, fun () -> close_out_noerr oc
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| s -> Error.errorf "unknown file extension '%s'" s
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in
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Out { oc; close }
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let close = function
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| Dummy | Inner _ -> ()
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| Out { close; oc } ->
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flush oc;
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close ()
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let to_string = Buffer.contents
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let to_chan = Buffer.output_buffer
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module DP = Sidekick_bin_lib.Drup_parser
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type event = DP.event =
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| Input of int list
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| Add of int list
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| Delete of int list
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(* parse the proof back *)
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let iter_events (self : in_memory) : DP.event Iter.t =
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let dp = DP.create_string (to_string self) in
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DP.iter dp
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*)
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end
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*)
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module I_const : sig
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val make : Term.store -> int -> Lit.t
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end = struct
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end = struct
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let bpf = Printf.bprintf
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type Const.view += I of int
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let fpf = Printf.fprintf
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type lit = Lit.t
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let ops =
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type in_memory = Buffer.t
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(module struct
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let equal a b =
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match a, b with
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| I a, I b -> a = b
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| _ -> false
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type t =
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let hash = function
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| Dummy
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| I i -> Hash.int i
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| Inner of in_memory
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| _ -> assert false
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| Out of { oc: out_channel; close: unit -> unit }
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module A = struct
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let pp out = function
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type step_id = unit
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| I i -> Fmt.int out i
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type rule = t -> unit
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| _ -> assert false
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end : Const.DYN_OPS)
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module Step_vec = Vec_unit
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let make tst i : Lit.t =
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end
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let t = Term.const tst @@ Const.make (I (abs i)) ops ~ty:(Term.bool tst) in
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Lit.atom ~sign:(i > 0) t
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open A
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let[@inline] add_step (self : t) r = r self
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let add_unsat _ _ = ()
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let delete _ _ = ()
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let[@inline] enabled (pr : t) =
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match pr with
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| Dummy -> false
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| Inner _ | Out _ -> true
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let[@inline] emit_lits_buf_ buf lits = lits (fun i -> bpf buf "%d " i)
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let[@inline] emit_lits_out_ oc lits = lits (fun i -> fpf oc "%d " i)
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module Rule = struct
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type nonrec lit = lit
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type nonrec rule = rule
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type nonrec step_id = step_id
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let sat_input_clause lits self =
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match self with
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| Dummy -> ()
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| Inner buf ->
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bpf buf "i ";
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emit_lits_buf_ buf lits;
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bpf buf "0\n"
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| Out { oc; _ } ->
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fpf oc "i ";
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emit_lits_out_ oc lits;
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fpf oc "0\n"
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let sat_redundant_clause lits ~hyps:_ self =
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match self with
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| Dummy -> ()
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| Inner buf ->
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bpf buf "r ";
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emit_lits_buf_ buf lits;
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bpf buf "0\n"
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| Out { oc; _ } ->
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fpf oc "r ";
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emit_lits_out_ oc lits;
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fpf oc "0\n"
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let sat_unsat_core _ _ = ()
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end
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let del_clause () lits self =
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match self with
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| Dummy -> ()
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| Inner buf ->
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bpf buf "d ";
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emit_lits_buf_ buf lits;
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bpf buf "0\n"
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| Out { oc; _ } ->
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fpf oc "d ";
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emit_lits_out_ oc lits;
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fpf oc "0\n"
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(* lifetime *)
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let dummy : t = Dummy
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let create_in_memory () : t * in_memory =
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let buf = Buffer.create 1_024 in
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Inner buf, buf
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let create_to_file file =
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let oc, close =
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match Filename.extension file with
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| ".gz" ->
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let cmd = Printf.sprintf "gzip -c - > \"%s\"" (String.escaped file) in
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Log.debugf 1 (fun k -> k "proof file: command is %s" cmd);
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let oc = Unix.open_process_out cmd in
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oc, fun () -> ignore (Unix.close_process_out oc : Unix.process_status)
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| ".drup" ->
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let oc = open_out_bin file in
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oc, fun () -> close_out_noerr oc
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| s -> Error.errorf "unknown file extension '%s'" s
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in
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Out { oc; close }
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let close = function
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| Dummy | Inner _ -> ()
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| Out { close; oc } ->
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flush oc;
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close ()
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let to_string = Buffer.contents
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let to_chan = Buffer.output_buffer
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module DP = Sidekick_bin_lib.Drup_parser
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type event = DP.event =
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| Input of int list
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| Add of int list
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| Delete of int list
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(* parse the proof back *)
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let iter_events (self : in_memory) : DP.event Iter.t =
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let dp = DP.create_string (to_string self) in
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DP.iter dp
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end
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end
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module Arg = struct
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module SAT = Sidekick_sat
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module Lit = Lit
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type lit = Lit.t
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module Proof_trace = Proof
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module Proof_rules = Proof.Rule
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type proof = Proof.t
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type step_id = Proof.A.step_id
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end
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module SAT = Sidekick_sat.Make_pure_sat (Arg)
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module Dimacs = struct
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module Dimacs = struct
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open Sidekick_base
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open Sidekick_base
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module BL = Sidekick_bin_lib
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module BL = Sidekick_bin_lib
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module T = Term
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module T = Term
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let parse_file (solver : SAT.t) (file : string) : (unit, string) result =
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let parse_file (solver : SAT.t) (tst : Term.store) (file : string) :
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(unit, string) result =
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try
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try
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CCIO.with_in file (fun ic ->
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CCIO.with_in file (fun ic ->
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let p = BL.Dimacs_parser.create ic in
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let p = BL.Dimacs_parser.create ic in
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BL.Dimacs_parser.iter p (fun c -> SAT.add_input_clause solver c);
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BL.Dimacs_parser.iter p (fun c ->
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(* convert on the fly *)
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let c = List.map (I_const.make tst) c in
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SAT.add_input_clause solver c);
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Ok ())
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Ok ())
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with e -> E.of_exn_trace e
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with e -> E.of_exn_trace e
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end
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end
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let check_proof (proof : Proof.in_memory) : bool =
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(* FIXME
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Profile.with_ "pure-sat.check-proof" @@ fun () ->
|
let check_proof (proof : Proof.in_memory) : bool =
|
||||||
let module SDRUP = Sidekick_drup.Make () in
|
Profile.with_ "pure-sat.check-proof" @@ fun () ->
|
||||||
let store = SDRUP.Clause.create () in
|
let module SDRUP = Sidekick_drup.Make () in
|
||||||
let checker = SDRUP.Checker.create store in
|
let store = SDRUP.Clause.create () in
|
||||||
let ok = ref true in
|
let checker = SDRUP.Checker.create store in
|
||||||
|
let ok = ref true in
|
||||||
|
|
||||||
let tr_clause c =
|
let tr_clause c =
|
||||||
let c = List.rev_map SDRUP.Atom.of_int_dimacs c in
|
let c = List.rev_map SDRUP.Atom.of_int_dimacs c in
|
||||||
SDRUP.Clause.of_list store c
|
SDRUP.Clause.of_list store c
|
||||||
in
|
in
|
||||||
|
|
||||||
Proof.iter_events proof (function
|
Proof.iter_events proof (function
|
||||||
| Proof.Input c ->
|
| Proof.Input c ->
|
||||||
let c = tr_clause c in
|
let c = tr_clause c in
|
||||||
SDRUP.Checker.add_clause checker c
|
SDRUP.Checker.add_clause checker c
|
||||||
| Proof.Add c ->
|
| Proof.Add c ->
|
||||||
let c = tr_clause c in
|
let c = tr_clause c in
|
||||||
if not (SDRUP.Checker.is_valid_drup checker c) then ok := false;
|
if not (SDRUP.Checker.is_valid_drup checker c) then ok := false;
|
||||||
SDRUP.Checker.add_clause checker c
|
SDRUP.Checker.add_clause checker c
|
||||||
| Proof.Delete c ->
|
| Proof.Delete c ->
|
||||||
let c = tr_clause c in
|
let c = tr_clause c in
|
||||||
SDRUP.Checker.del_clause checker c);
|
SDRUP.Checker.del_clause checker c);
|
||||||
!ok
|
!ok
|
||||||
|
*)
|
||||||
|
|
||||||
let solve ?(check = false) ?in_memory_proof (solver : SAT.t) :
|
let solve ?(check = false) ?in_memory_proof (solver : SAT.t) :
|
||||||
(unit, string) result =
|
(unit, string) result =
|
||||||
|
|
@ -236,7 +247,7 @@ let solve ?(check = false) ?in_memory_proof (solver : SAT.t) :
|
||||||
| None ->
|
| None ->
|
||||||
Error.errorf "Cannot validate proof, no in-memory proof provided"
|
Error.errorf "Cannot validate proof, no in-memory proof provided"
|
||||||
| Some proof ->
|
| Some proof ->
|
||||||
let ok = check_proof proof in
|
let ok = true (* FIXME check_proof proof *) in
|
||||||
if not ok then Error.errorf "Proof validation failed"
|
if not ok then Error.errorf "Proof validation failed"
|
||||||
);
|
);
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -326,9 +326,9 @@ let process_stmt ?gc ?restarts ?(pp_cnf = false) ?proof_file ?pp_model
|
||||||
| Statement.Stmt_data _ -> E.return ()
|
| Statement.Stmt_data _ -> E.return ()
|
||||||
| Statement.Stmt_define _ -> Error.errorf "cannot deal with definitions yet"
|
| Statement.Stmt_define _ -> Error.errorf "cannot deal with definitions yet"
|
||||||
|
|
||||||
module Th_data = SBS.Th_data
|
module Th_data = Th_data
|
||||||
module Th_bool = SBS.Th_bool
|
module Th_bool = Th_bool
|
||||||
module Th_lra = SBS.Th_lra
|
module Th_lra = Th_lra
|
||||||
|
|
||||||
let th_bool : Solver.theory = Th_bool.theory
|
let th_bool : Solver.theory = Th_bool.theory
|
||||||
let th_data : Solver.theory = Th_data.theory
|
let th_data : Solver.theory = Th_data.theory
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@ module Process = Process
|
||||||
module Solver = Process.Solver
|
module Solver = Process.Solver
|
||||||
module Term = Sidekick_base.Term
|
module Term = Sidekick_base.Term
|
||||||
module Stmt = Sidekick_base.Statement
|
module Stmt = Sidekick_base.Statement
|
||||||
module Proof = Sidekick_base.Proof
|
module Proof_trace = Sidekick_core.Proof_trace
|
||||||
|
|
||||||
type 'a or_error = ('a, string) CCResult.t
|
type 'a or_error = ('a, string) CCResult.t
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -10,7 +10,7 @@ module Term = Sidekick_base.Term
|
||||||
module Stmt = Sidekick_base.Statement
|
module Stmt = Sidekick_base.Statement
|
||||||
module Process = Process
|
module Process = Process
|
||||||
module Solver = Process.Solver
|
module Solver = Process.Solver
|
||||||
module Proof = Sidekick_base.Proof
|
module Proof_trace = Sidekick_core.Proof_trace
|
||||||
|
|
||||||
val parse : Term.store -> string -> Stmt.t list or_error
|
val parse : Term.store -> string -> Stmt.t list or_error
|
||||||
val parse_stdin : Term.store -> Stmt.t list or_error
|
val parse_stdin : Term.store -> Stmt.t list or_error
|
||||||
|
|
|
||||||
|
|
@ -8,7 +8,7 @@ module PA = Smtlib_utils.V_2_6.Ast
|
||||||
module BT = Sidekick_base
|
module BT = Sidekick_base
|
||||||
module Ty = BT.Ty
|
module Ty = BT.Ty
|
||||||
module T = BT.Term
|
module T = BT.Term
|
||||||
module Fun = BT.Fun
|
module Uconst = BT.Uconst
|
||||||
module Form = BT.Form
|
module Form = BT.Form
|
||||||
module Stmt = BT.Statement
|
module Stmt = BT.Statement
|
||||||
|
|
||||||
|
|
@ -21,8 +21,8 @@ let pp_loc_opt = Loc.pp_opt
|
||||||
module StrTbl = CCHashtbl.Make (CCString)
|
module StrTbl = CCHashtbl.Make (CCString)
|
||||||
|
|
||||||
module Ctx = struct
|
module Ctx = struct
|
||||||
type kind = K_ty of ty_kind | K_fun of Fun.t
|
type kind = K_ty of ty_kind | K_fun of Term.t
|
||||||
and ty_kind = K_atomic of Ty.def
|
and ty_kind = K_atomic of Ty.t
|
||||||
|
|
||||||
type default_num = [ `Real | `Int ]
|
type default_num = [ `Real | `Int ]
|
||||||
|
|
||||||
|
|
@ -58,7 +58,7 @@ module Ctx = struct
|
||||||
CCFun.finally ~f ~h:(fun () ->
|
CCFun.finally ~f ~h:(fun () ->
|
||||||
List.iter (fun (v, _) -> StrTbl.remove self.lets v) bs)
|
List.iter (fun (v, _) -> StrTbl.remove self.lets v) bs)
|
||||||
|
|
||||||
let find_ty_def self (s : string) : Ty.def =
|
let find_ty_def self (s : string) : Ty.t =
|
||||||
match StrTbl.get self.names s with
|
match StrTbl.get self.names s with
|
||||||
| Some (_, K_ty (K_atomic def)) -> def
|
| Some (_, K_ty (K_atomic def)) -> def
|
||||||
| _ -> Error.errorf "expected %s to be an atomic type" s
|
| _ -> Error.errorf "expected %s to be an atomic type" s
|
||||||
|
|
@ -69,8 +69,8 @@ let errorf_ctx ctx msg =
|
||||||
|
|
||||||
let ill_typed ctx fmt = errorf_ctx ctx ("ill-typed: " ^^ fmt)
|
let ill_typed ctx fmt = errorf_ctx ctx ("ill-typed: " ^^ fmt)
|
||||||
|
|
||||||
let check_bool_ ctx t =
|
let check_bool_ (ctx : Ctx.t) t =
|
||||||
if not (Ty.equal (T.ty t) (Ty.bool ())) then
|
if not (Ty.equal (T.ty t) (Ty.bool ctx.tst)) then
|
||||||
ill_typed ctx "expected bool, got `@[%a : %a@]`" T.pp t Ty.pp (T.ty t)
|
ill_typed ctx "expected bool, got `@[%a : %a@]`" T.pp t Ty.pp (T.ty t)
|
||||||
|
|
||||||
let find_id_ ctx (s : string) : ID.t * Ctx.kind =
|
let find_id_ ctx (s : string) : ID.t * Ctx.kind =
|
||||||
|
|
@ -78,15 +78,15 @@ let find_id_ ctx (s : string) : ID.t * Ctx.kind =
|
||||||
with Not_found -> errorf_ctx ctx "name `%s` not in scope" s
|
with Not_found -> errorf_ctx ctx "name `%s` not in scope" s
|
||||||
|
|
||||||
(* parse a type *)
|
(* parse a type *)
|
||||||
let rec conv_ty ctx (t : PA.ty) : Ty.t =
|
let rec conv_ty (ctx : Ctx.t) (t : PA.ty) : Ty.t =
|
||||||
match t with
|
match t with
|
||||||
| PA.Ty_bool -> Ty.bool ()
|
| PA.Ty_bool -> Ty.bool ctx.tst
|
||||||
| PA.Ty_real -> Ty.real ()
|
| PA.Ty_real -> Ty.real ctx.tst
|
||||||
| PA.Ty_app ("Int", []) -> Ty.int ()
|
| PA.Ty_app ("Int", []) -> Ty.int ctx.tst
|
||||||
| PA.Ty_app (f, l) ->
|
| PA.Ty_app (f, l) ->
|
||||||
let def = Ctx.find_ty_def ctx f in
|
let ty_f = Ctx.find_ty_def ctx f in
|
||||||
let l = List.map (conv_ty ctx) l in
|
let l = List.map (conv_ty ctx) l in
|
||||||
Ty.atomic def l
|
Ty.app_l ctx.tst ty_f l
|
||||||
| PA.Ty_arrow _ -> ill_typed ctx "cannot handle arrow types"
|
| PA.Ty_arrow _ -> ill_typed ctx "cannot handle arrow types"
|
||||||
|
|
||||||
let is_num s =
|
let is_num s =
|
||||||
|
|
@ -113,122 +113,127 @@ let string_as_q (s : string) : Q.t option =
|
||||||
Some x
|
Some x
|
||||||
with _ -> None
|
with _ -> None
|
||||||
|
|
||||||
let t_as_q t =
|
(* TODO
|
||||||
match Term.view t with
|
let t_as_q t =
|
||||||
| T.LRA (Const n) -> Some n
|
match Term.view t with
|
||||||
| T.LIA (Const n) -> Some (Q.of_bigint n)
|
| T.LRA (Const n) -> Some n
|
||||||
| _ -> None
|
| T.LIA (Const n) -> Some (Q.of_bigint n)
|
||||||
|
| _ -> None
|
||||||
|
|
||||||
let t_as_z t =
|
let t_as_z t =
|
||||||
match Term.view t with
|
match Term.view t with
|
||||||
| T.LIA (Const n) -> Some n
|
| T.LIA (Const n) -> Some n
|
||||||
| _ -> None
|
| _ -> None
|
||||||
|
|
||||||
let[@inline] is_real t = Ty.equal (T.ty t) (Ty.real ())
|
let is_real = Ty.is_real
|
||||||
|
|
||||||
(* convert [t] to a real term *)
|
(* convert [t] to a real term *)
|
||||||
let cast_to_real (ctx : Ctx.t) (t : T.t) : T.t =
|
let cast_to_real (ctx : Ctx.t) (t : T.t) : T.t =
|
||||||
let rec conv t =
|
let rec conv t =
|
||||||
match T.view t with
|
match T.view t with
|
||||||
| T.LRA _ -> t
|
| T.LRA _ -> t
|
||||||
| _ when Ty.equal (T.ty t) (Ty.real ()) -> t
|
| _ when Ty.equal (T.ty t) (Ty.real ()) -> t
|
||||||
| T.LIA (Const n) -> T.lra ctx.tst (Const (Q.of_bigint n))
|
| T.LIA (Const n) -> T.lra ctx.tst (Const (Q.of_bigint n))
|
||||||
| T.LIA l ->
|
| T.LIA l ->
|
||||||
(* convert the whole structure to reals *)
|
(* convert the whole structure to reals *)
|
||||||
let l = LIA_view.to_lra conv l in
|
let l = LIA_view.to_lra conv l in
|
||||||
T.lra ctx.tst l
|
T.lra ctx.tst l
|
||||||
| T.Ite (a, b, c) -> T.ite ctx.tst a (conv b) (conv c)
|
| T.Ite (a, b, c) -> T.ite ctx.tst a (conv b) (conv c)
|
||||||
| _ -> errorf_ctx ctx "cannot cast term to real@ :term %a" T.pp t
|
| _ -> errorf_ctx ctx "cannot cast term to real@ :term %a" T.pp t
|
||||||
in
|
in
|
||||||
conv t
|
conv t
|
||||||
|
|
||||||
let conv_arith_op (ctx : Ctx.t) t (op : PA.arith_op) (l : T.t list) : T.t =
|
let conv_arith_op (ctx : Ctx.t) t (op : PA.arith_op) (l : T.t list) : T.t =
|
||||||
let tst = ctx.Ctx.tst in
|
let tst = ctx.Ctx.tst in
|
||||||
|
|
||||||
let mk_pred p a b =
|
let mk_pred p a b =
|
||||||
if is_real a || is_real b then
|
if is_real a || is_real b then
|
||||||
T.lra tst (Pred (p, cast_to_real ctx a, cast_to_real ctx b))
|
T.lra tst (Pred (p, cast_to_real ctx a, cast_to_real ctx b))
|
||||||
else
|
else
|
||||||
T.lia tst (Pred (p, a, b))
|
T.lia tst (Pred (p, a, b))
|
||||||
and mk_op o a b =
|
and mk_op o a b =
|
||||||
if is_real a || is_real b then
|
if is_real a || is_real b then
|
||||||
T.lra tst (Op (o, cast_to_real ctx a, cast_to_real ctx b))
|
T.lra tst (Op (o, cast_to_real ctx a, cast_to_real ctx b))
|
||||||
else
|
else
|
||||||
T.lia tst (Op (o, a, b))
|
T.lia tst (Op (o, a, b))
|
||||||
in
|
in
|
||||||
|
|
||||||
match op, l with
|
match op, l with
|
||||||
| PA.Leq, [ a; b ] -> mk_pred Leq a b
|
| PA.Leq, [ a; b ] -> mk_pred Leq a b
|
||||||
| PA.Lt, [ a; b ] -> mk_pred Lt a b
|
| PA.Lt, [ a; b ] -> mk_pred Lt a b
|
||||||
| PA.Geq, [ a; b ] -> mk_pred Geq a b
|
| PA.Geq, [ a; b ] -> mk_pred Geq a b
|
||||||
| PA.Gt, [ a; b ] -> mk_pred Gt a b
|
| PA.Gt, [ a; b ] -> mk_pred Gt a b
|
||||||
| PA.Add, [ a; b ] -> mk_op Plus a b
|
| PA.Add, [ a; b ] -> mk_op Plus a b
|
||||||
| PA.Add, a :: l -> List.fold_left (fun a b -> mk_op Plus a b) a l
|
| PA.Add, a :: l -> List.fold_left (fun a b -> mk_op Plus a b) a l
|
||||||
| PA.Minus, [ a ] ->
|
| PA.Minus, [ a ] ->
|
||||||
(match t_as_q a, t_as_z a with
|
(match t_as_q a, t_as_z a with
|
||||||
| _, Some n -> T.lia tst (Const (Z.neg n))
|
| _, Some n -> T.lia tst (Const (Z.neg n))
|
||||||
| Some q, None -> T.lra tst (Const (Q.neg q))
|
| Some q, None -> T.lra tst (Const (Q.neg q))
|
||||||
| None, None ->
|
| None, None ->
|
||||||
let zero =
|
let zero =
|
||||||
if is_real a then
|
if is_real a then
|
||||||
T.lra tst (Const Q.zero)
|
T.lra tst (Const Q.zero)
|
||||||
else
|
else
|
||||||
T.lia tst (Const Z.zero)
|
T.lia tst (Const Z.zero)
|
||||||
in
|
in
|
||||||
|
|
||||||
mk_op Minus zero a)
|
mk_op Minus zero a)
|
||||||
| PA.Minus, [ a; b ] -> mk_op Minus a b
|
| PA.Minus, [ a; b ] -> mk_op Minus a b
|
||||||
| PA.Minus, a :: l -> List.fold_left (fun a b -> mk_op Minus a b) a l
|
| PA.Minus, a :: l -> List.fold_left (fun a b -> mk_op Minus a b) a l
|
||||||
| PA.Mult, [ a; b ] when is_real a || is_real b ->
|
| PA.Mult, [ a; b ] when is_real a || is_real b ->
|
||||||
(match t_as_q a, t_as_q b with
|
(match t_as_q a, t_as_q b with
|
||||||
| Some a, Some b -> T.lra tst (Const (Q.mul a b))
|
| Some a, Some b -> T.lra tst (Const (Q.mul a b))
|
||||||
| Some a, _ -> T.lra tst (Mult (a, b))
|
| Some a, _ -> T.lra tst (Mult (a, b))
|
||||||
| _, Some b -> T.lra tst (Mult (b, a))
|
| _, Some b -> T.lra tst (Mult (b, a))
|
||||||
| None, None ->
|
| None, None ->
|
||||||
errorf_ctx ctx "cannot handle non-linear mult %a" PA.pp_term t)
|
errorf_ctx ctx "cannot handle non-linear mult %a" PA.pp_term t)
|
||||||
| PA.Mult, [ a; b ] ->
|
| PA.Mult, [ a; b ] ->
|
||||||
(match t_as_z a, t_as_z b with
|
(match t_as_z a, t_as_z b with
|
||||||
| Some a, Some b -> T.lia tst (Const (Z.mul a b))
|
| Some a, Some b -> T.lia tst (Const (Z.mul a b))
|
||||||
| Some a, _ -> T.lia tst (Mult (a, b))
|
| Some a, _ -> T.lia tst (Mult (a, b))
|
||||||
| _, Some b -> T.lia tst (Mult (b, a))
|
| _, Some b -> T.lia tst (Mult (b, a))
|
||||||
| None, None ->
|
| None, None ->
|
||||||
errorf_ctx ctx "cannot handle non-linear mult %a" PA.pp_term t)
|
errorf_ctx ctx "cannot handle non-linear mult %a" PA.pp_term t)
|
||||||
| PA.Div, [ a; b ] when is_real a || is_real b ->
|
| PA.Div, [ a; b ] when is_real a || is_real b ->
|
||||||
(match t_as_q a, t_as_q b with
|
(match t_as_q a, t_as_q b with
|
||||||
| Some a, Some b -> T.lra tst (Const (Q.div a b))
|
| Some a, Some b -> T.lra tst (Const (Q.div a b))
|
||||||
| _, Some b -> T.lra tst (Mult (Q.inv b, a))
|
| _, Some b -> T.lra tst (Mult (Q.inv b, a))
|
||||||
| _, None -> errorf_ctx ctx "cannot handle non-linear div %a" PA.pp_term t)
|
| _, None -> errorf_ctx ctx "cannot handle non-linear div %a" PA.pp_term t)
|
||||||
| PA.Div, [ a; b ] ->
|
| PA.Div, [ a; b ] ->
|
||||||
(* becomes a real *)
|
(* becomes a real *)
|
||||||
(match t_as_q a, t_as_q b with
|
(match t_as_q a, t_as_q b with
|
||||||
| Some a, Some b -> T.lra tst (Const (Q.div a b))
|
| Some a, Some b -> T.lra tst (Const (Q.div a b))
|
||||||
| _, Some b ->
|
| _, Some b ->
|
||||||
let a = cast_to_real ctx a in
|
let a = cast_to_real ctx a in
|
||||||
T.lra tst (Mult (Q.inv b, a))
|
T.lra tst (Mult (Q.inv b, a))
|
||||||
| _, None -> errorf_ctx ctx "cannot handle non-linear div %a" PA.pp_term t)
|
| _, None -> errorf_ctx ctx "cannot handle non-linear div %a" PA.pp_term t)
|
||||||
| _ -> errorf_ctx ctx "cannot handle arith construct %a" PA.pp_term t
|
| _ -> errorf_ctx ctx "cannot handle arith construct %a" PA.pp_term t
|
||||||
|
*)
|
||||||
|
|
||||||
(* conversion of terms *)
|
(* conversion of terms *)
|
||||||
let rec conv_term (ctx : Ctx.t) (t : PA.term) : T.t =
|
let rec conv_term (ctx : Ctx.t) (t : PA.term) : T.t =
|
||||||
let tst = ctx.Ctx.tst in
|
let tst = ctx.Ctx.tst in
|
||||||
match t with
|
match t with
|
||||||
| PA.True -> T.true_ tst
|
| PA.True -> T.true_ tst
|
||||||
| PA.False -> T.false_ tst
|
| PA.False ->
|
||||||
| PA.Const s when is_num s ->
|
T.false_ tst
|
||||||
(match string_as_z s, ctx.default_num with
|
(* FIXME
|
||||||
| Some n, `Int -> T.lia tst (Const n)
|
| PA.Const s when is_num s ->
|
||||||
| Some n, `Real -> T.lra tst (Const (Q.of_bigint n))
|
(match string_as_z s, ctx.default_num with
|
||||||
| None, _ ->
|
| Some n, `Int -> T.lia tst (Const n)
|
||||||
(match string_as_q s with
|
| Some n, `Real -> T.lra tst (Const (Q.of_bigint n))
|
||||||
| Some n -> T.lra tst (Const n)
|
| None, _ ->
|
||||||
| None -> errorf_ctx ctx "expected a number for %a" PA.pp_term t))
|
(match string_as_q s with
|
||||||
|
| Some n -> T.lra tst (Const n)
|
||||||
|
| None -> errorf_ctx ctx "expected a number for %a" PA.pp_term t))
|
||||||
|
*)
|
||||||
| PA.Const f | PA.App (f, []) ->
|
| PA.Const f | PA.App (f, []) ->
|
||||||
(* lookup in `let` table, then in type defs *)
|
(* lookup in `let` table, then in type defs *)
|
||||||
(match StrTbl.find ctx.Ctx.lets f with
|
(match StrTbl.find ctx.Ctx.lets f with
|
||||||
| u -> u
|
| u -> u
|
||||||
| exception Not_found ->
|
| exception Not_found ->
|
||||||
(match find_id_ ctx f with
|
(match find_id_ ctx f with
|
||||||
| _, Ctx.K_fun f -> T.const tst f
|
| _, Ctx.K_fun f -> f
|
||||||
| _, Ctx.K_ty _ -> errorf_ctx ctx "expected term, not type; got `%s`" f))
|
| _, Ctx.K_ty _ -> errorf_ctx ctx "expected term, not type; got `%s`" f))
|
||||||
| PA.App ("xor", [ a; b ]) ->
|
| PA.App ("xor", [ a; b ]) ->
|
||||||
let a = conv_term ctx a in
|
let a = conv_term ctx a in
|
||||||
|
|
@ -237,7 +242,7 @@ let rec conv_term (ctx : Ctx.t) (t : PA.term) : T.t =
|
||||||
| PA.App (f, args) ->
|
| PA.App (f, args) ->
|
||||||
let args = List.map (conv_term ctx) args in
|
let args = List.map (conv_term ctx) args in
|
||||||
(match find_id_ ctx f with
|
(match find_id_ ctx f with
|
||||||
| _, Ctx.K_fun f -> T.app_fun tst f (CCArray.of_list args)
|
| _, Ctx.K_fun f -> T.app_l tst f args
|
||||||
| _, Ctx.K_ty _ ->
|
| _, Ctx.K_ty _ ->
|
||||||
errorf_ctx ctx "expected function, got type `%s` instead" f)
|
errorf_ctx ctx "expected function, got type `%s` instead" f)
|
||||||
| PA.If (a, b, c) ->
|
| PA.If (a, b, c) ->
|
||||||
|
|
@ -271,20 +276,26 @@ let rec conv_term (ctx : Ctx.t) (t : PA.term) : T.t =
|
||||||
| PA.Eq (a, b) ->
|
| PA.Eq (a, b) ->
|
||||||
let a = conv_term ctx a in
|
let a = conv_term ctx a in
|
||||||
let b = conv_term ctx b in
|
let b = conv_term ctx b in
|
||||||
if is_real a || is_real b then
|
(* FIXME
|
||||||
Form.eq tst (cast_to_real ctx a) (cast_to_real ctx b)
|
if is_real a || is_real b then
|
||||||
else
|
Form.eq tst (cast_to_real ctx a) (cast_to_real ctx b)
|
||||||
Form.eq tst a b
|
else
|
||||||
|
*)
|
||||||
|
Form.eq tst a b
|
||||||
| PA.Imply (a, b) ->
|
| PA.Imply (a, b) ->
|
||||||
let a = conv_term ctx a in
|
let a = conv_term ctx a in
|
||||||
let b = conv_term ctx b in
|
let b = conv_term ctx b in
|
||||||
Form.imply tst a b
|
Form.imply tst a b
|
||||||
| PA.Is_a (s, u) ->
|
| PA.Is_a (s, u) ->
|
||||||
let u = conv_term ctx u in
|
let u = conv_term ctx u in
|
||||||
|
let fail () = errorf_ctx ctx "expected `%s` to be a constructor" s in
|
||||||
(match find_id_ ctx s with
|
(match find_id_ ctx s with
|
||||||
| _, Ctx.K_fun { Fun.fun_view = Base_types.Fun_cstor c; _ } ->
|
| _, Ctx.K_fun f ->
|
||||||
Term.is_a tst c u
|
(match Term.view f with
|
||||||
| _ -> errorf_ctx ctx "expected `%s` to be a constructor" s)
|
| E_const { Const.c_view = Data_ty.Cstor c; _ } ->
|
||||||
|
Term.app tst (Data_ty.is_a tst c) u
|
||||||
|
| _ -> fail ())
|
||||||
|
| _ -> fail ())
|
||||||
| PA.Match (_lhs, _l) ->
|
| PA.Match (_lhs, _l) ->
|
||||||
errorf_ctx ctx "TODO: support match in %a" PA.pp_term t
|
errorf_ctx ctx "TODO: support match in %a" PA.pp_term t
|
||||||
(* FIXME: do that properly, using [with_lets] with selectors
|
(* FIXME: do that properly, using [with_lets] with selectors
|
||||||
|
|
@ -360,9 +371,12 @@ let rec conv_term (ctx : Ctx.t) (t : PA.term) : T.t =
|
||||||
in
|
in
|
||||||
A.match_ lhs cases
|
A.match_ lhs cases
|
||||||
*)
|
*)
|
||||||
| PA.Arith (op, l) ->
|
|
||||||
let l = List.map (conv_term ctx) l in
|
(* FIXME
|
||||||
conv_arith_op ctx t op l
|
| PA.Arith (op, l) ->
|
||||||
|
let l = List.map (conv_term ctx) l in
|
||||||
|
conv_arith_op ctx t op l
|
||||||
|
*)
|
||||||
| PA.Cast (t, ty_expect) ->
|
| PA.Cast (t, ty_expect) ->
|
||||||
let t = conv_term ctx t in
|
let t = conv_term ctx t in
|
||||||
let ty_expect = conv_ty ctx ty_expect in
|
let ty_expect = conv_ty ctx ty_expect in
|
||||||
|
|
@ -414,8 +428,8 @@ let rec conv_statement ctx (s : PA.statement) : Stmt.t list =
|
||||||
Ctx.set_loc ctx ?loc:(PA.loc s);
|
Ctx.set_loc ctx ?loc:(PA.loc s);
|
||||||
conv_statement_aux ctx s
|
conv_statement_aux ctx s
|
||||||
|
|
||||||
and conv_statement_aux ctx (stmt : PA.statement) : Stmt.t list =
|
and conv_statement_aux (ctx : Ctx.t) (stmt : PA.statement) : Stmt.t list =
|
||||||
let tst = ctx.Ctx.tst in
|
let tst = ctx.tst in
|
||||||
match PA.view stmt with
|
match PA.view stmt with
|
||||||
| PA.Stmt_set_logic logic ->
|
| PA.Stmt_set_logic logic ->
|
||||||
if is_lia logic then
|
if is_lia logic then
|
||||||
|
|
@ -428,12 +442,14 @@ and conv_statement_aux ctx (stmt : PA.statement) : Stmt.t list =
|
||||||
| PA.Stmt_exit -> [ Stmt.Stmt_exit ]
|
| PA.Stmt_exit -> [ Stmt.Stmt_exit ]
|
||||||
| PA.Stmt_decl_sort (s, n) ->
|
| PA.Stmt_decl_sort (s, n) ->
|
||||||
let id = ID.make s in
|
let id = ID.make s in
|
||||||
Ctx.add_id_ ctx s id (Ctx.K_ty (Ctx.K_atomic (Ty.Ty_uninterpreted id)));
|
let ty = Ty.uninterpreted tst id in
|
||||||
|
Ctx.add_id_ ctx s id (Ctx.K_ty (Ctx.K_atomic ty));
|
||||||
[ Stmt.Stmt_ty_decl (id, n) ]
|
[ Stmt.Stmt_ty_decl (id, n) ]
|
||||||
| PA.Stmt_decl fr ->
|
| PA.Stmt_decl fr ->
|
||||||
let f, args, ret = conv_fun_decl ctx fr in
|
let f, args, ret = conv_fun_decl ctx fr in
|
||||||
let id = ID.make f in
|
let id = ID.make f in
|
||||||
Ctx.add_id_ ctx f id (Ctx.K_fun (Fun.mk_undef' id args ret));
|
let c_f = Uconst.uconst_of_id' tst id args ret in
|
||||||
|
Ctx.add_id_ ctx f id (Ctx.K_fun c_f);
|
||||||
[ Stmt.Stmt_decl (id, args, ret) ]
|
[ Stmt.Stmt_decl (id, args, ret) ]
|
||||||
| PA.Stmt_data l ->
|
| PA.Stmt_data l ->
|
||||||
(* first, read and declare each datatype (it can occur in the other
|
(* first, read and declare each datatype (it can occur in the other
|
||||||
|
|
@ -448,7 +464,7 @@ and conv_statement_aux ctx (stmt : PA.statement) : Stmt.t list =
|
||||||
in
|
in
|
||||||
let l = List.map pre_parse l in
|
let l = List.map pre_parse l in
|
||||||
*)
|
*)
|
||||||
let module Cstor = Base_types.Cstor in
|
let module Cstor = Data_ty.Cstor in
|
||||||
let cstors_of_data data (cstors : PA.cstor list) : Cstor.t ID.Map.t =
|
let cstors_of_data data (cstors : PA.cstor list) : Cstor.t ID.Map.t =
|
||||||
let parse_case { PA.cstor_name; cstor_args; cstor_ty_vars } =
|
let parse_case { PA.cstor_name; cstor_args; cstor_ty_vars } =
|
||||||
if cstor_ty_vars <> [] then
|
if cstor_ty_vars <> [] then
|
||||||
|
|
@ -461,30 +477,32 @@ and conv_statement_aux ctx (stmt : PA.statement) : Stmt.t list =
|
||||||
let select_id = ID.make name in
|
let select_id = ID.make name in
|
||||||
let sel =
|
let sel =
|
||||||
{
|
{
|
||||||
Select.select_id;
|
Data_ty.select_id;
|
||||||
select_ty = lazy (conv_ty ctx ty);
|
select_ty = lazy (conv_ty ctx ty);
|
||||||
select_cstor = cstor;
|
select_cstor = cstor;
|
||||||
select_i = i;
|
select_i = i;
|
||||||
}
|
}
|
||||||
in
|
in
|
||||||
(* now declare the selector *)
|
(* now declare the selector *)
|
||||||
Ctx.add_id_ ctx name select_id (Ctx.K_fun (Fun.select sel));
|
let c_sel = Data_ty.select tst sel in
|
||||||
|
Ctx.add_id_ ctx name select_id (Ctx.K_fun c_sel);
|
||||||
sel)
|
sel)
|
||||||
cstor_args
|
cstor_args
|
||||||
in
|
in
|
||||||
let rec cstor =
|
let rec cstor =
|
||||||
{
|
{
|
||||||
Cstor.cstor_id;
|
Data_ty.cstor_id;
|
||||||
cstor_is_a = ID.makef "(is _ %s)" cstor_name;
|
cstor_is_a = ID.makef "(is _ %s)" cstor_name;
|
||||||
(* every fun needs a name *)
|
(* every fun needs a name *)
|
||||||
cstor_args = lazy (mk_selectors cstor);
|
cstor_args = lazy (mk_selectors cstor);
|
||||||
cstor_arity = 0;
|
cstor_arity = 0;
|
||||||
cstor_ty_as_data = data;
|
cstor_ty_as_data = data;
|
||||||
cstor_ty = data.Base_types.data_as_ty;
|
cstor_ty = data.data_as_ty;
|
||||||
}
|
}
|
||||||
in
|
in
|
||||||
(* declare cstor *)
|
(* declare cstor *)
|
||||||
Ctx.add_id_ ctx cstor_name cstor_id (Ctx.K_fun (Fun.cstor cstor));
|
let c_cstor = Data_ty.cstor tst cstor in
|
||||||
|
Ctx.add_id_ ctx cstor_name cstor_id (Ctx.K_fun c_cstor);
|
||||||
cstor_id, cstor
|
cstor_id, cstor
|
||||||
in
|
in
|
||||||
let cstors = List.map parse_case cstors in
|
let cstors = List.map parse_case cstors in
|
||||||
|
|
@ -500,25 +518,22 @@ and conv_statement_aux ctx (stmt : PA.statement) : Stmt.t list =
|
||||||
let data_id = ID.make data_name in
|
let data_id = ID.make data_name in
|
||||||
let rec data =
|
let rec data =
|
||||||
{
|
{
|
||||||
Data.data_id;
|
Data_ty.data_id;
|
||||||
data_cstors = lazy (cstors_of_data data cstors);
|
data_cstors = lazy (cstors_of_data data cstors);
|
||||||
data_as_ty =
|
data_as_ty = lazy (Data_ty.data tst data);
|
||||||
lazy
|
|
||||||
(let def = Ty.Ty_data { data } in
|
|
||||||
Ty.atomic def []);
|
|
||||||
}
|
}
|
||||||
in
|
in
|
||||||
Ctx.add_id_ ctx data_name data_id
|
let ty_data = Data_ty.data tst data in
|
||||||
(Ctx.K_ty (Ctx.K_atomic (Ty.Ty_data { data })));
|
Ctx.add_id_ ctx data_name data_id (Ctx.K_ty (Ctx.K_atomic ty_data));
|
||||||
data)
|
data)
|
||||||
l
|
l
|
||||||
in
|
in
|
||||||
(* now force definitions *)
|
(* now force definitions *)
|
||||||
List.iter
|
List.iter
|
||||||
(fun { Data.data_cstors = (lazy m); data_as_ty = (lazy _); _ } ->
|
(fun { Data_ty.data_cstors = (lazy m); data_as_ty = (lazy _); _ } ->
|
||||||
ID.Map.iter
|
ID.Map.iter
|
||||||
(fun _ ({ Cstor.cstor_args = (lazy l); _ } as r) ->
|
(fun _ ({ Data_ty.cstor_args = (lazy l); _ } as r) ->
|
||||||
r.Base_types.cstor_arity <- List.length l)
|
r.cstor_arity <- List.length l)
|
||||||
m;
|
m;
|
||||||
())
|
())
|
||||||
l;
|
l;
|
||||||
|
|
@ -541,13 +556,10 @@ and conv_statement_aux ctx (stmt : PA.statement) : Stmt.t list =
|
||||||
(* turn [def f : ret := body] into [decl f : ret; assert f=body] *)
|
(* turn [def f : ret := body] into [decl f : ret; assert f=body] *)
|
||||||
let ret = conv_ty ctx fun_ret in
|
let ret = conv_ty ctx fun_ret in
|
||||||
let id = ID.make fun_name in
|
let id = ID.make fun_name in
|
||||||
let f = Fun.mk_undef_const id ret in
|
let f = Uconst.uconst_of_id tst id ret in
|
||||||
Ctx.add_id_ ctx fun_name id (Ctx.K_fun f);
|
Ctx.add_id_ ctx fun_name id (Ctx.K_fun f);
|
||||||
let rhs = conv_term ctx fr_body in
|
let rhs = conv_term ctx fr_body in
|
||||||
[
|
[ Stmt.Stmt_decl (id, [], ret); Stmt.Stmt_assert (Form.eq tst f rhs) ]
|
||||||
Stmt.Stmt_decl (id, [], ret);
|
|
||||||
Stmt.Stmt_assert (Form.eq tst (T.const tst f) rhs);
|
|
||||||
]
|
|
||||||
| PA.Stmt_fun_rec _ | PA.Stmt_fun_def _ ->
|
| PA.Stmt_fun_rec _ | PA.Stmt_fun_def _ ->
|
||||||
errorf_ctx ctx "unsupported definition: %a" PA.pp_stmt stmt
|
errorf_ctx ctx "unsupported definition: %a" PA.pp_stmt stmt
|
||||||
| PA.Stmt_assert t ->
|
| PA.Stmt_assert t ->
|
||||||
|
|
|
||||||
Loading…
Add table
Reference in a new issue