mirror of
https://github.com/c-cube/sidekick.git
synced 2025-12-06 11:15:43 -05:00
fix tests
This commit is contained in:
parent
782afa4415
commit
b33f5fa5b1
3 changed files with 32 additions and 39 deletions
52
doc/guide.md
52
doc/guide.md
|
|
@ -97,12 +97,11 @@ for legibility:
|
|||
# open Sidekick_base;;
|
||||
# open Sidekick_base_solver;;
|
||||
# #install_printer Term.pp;;
|
||||
# #install_printer Lit.pp;;
|
||||
# #install_printer Ty.pp;;
|
||||
# #install_printer Fun.pp;;
|
||||
# #install_printer Model.pp;;
|
||||
# #install_printer Solver.Model.pp;;
|
||||
# #install_printer Proof.pp_debug;;
|
||||
Proof.pp_debug has a wrong type for a printing function.
|
||||
```
|
||||
|
||||
## First steps in solving
|
||||
|
|
@ -197,16 +196,11 @@ A list of theories can be added initially, or later using
|
|||
`Solver.add_theory`.
|
||||
|
||||
```ocaml
|
||||
# let solver = Solver.create ~theories:[th_bool] tstore () ();;
|
||||
# let solver = Solver.create ~theories:[th_bool] ~proof:(Proof_stub.create()) tstore () ();;
|
||||
val solver : Solver.t = <abstr>
|
||||
|
||||
# Solver.add_theory;;
|
||||
- : Solver.t -> Solver.theory -> unit = <fun>
|
||||
|
||||
# (* print solver's atoms *)
|
||||
let pp_atom out a = Solver.Atom.pp solver out a;;
|
||||
val pp_atom : Format.formatter -> Solver.Atom.t -> unit = <fun>
|
||||
# #install_printer pp_atom;;
|
||||
```
|
||||
|
||||
Alright, let's do some solving now ⚙️. We're going to assert
|
||||
|
|
@ -240,11 +234,11 @@ whether the assertions and hypotheses are satisfiable together.
|
|||
|
||||
```ocaml
|
||||
# Solver.solve solver
|
||||
~assumptions:[Solver.mk_atom_t' solver p;
|
||||
Solver.mk_atom_t' solver q ~sign:false];;
|
||||
~assumptions:[Solver.mk_lit_t solver p;
|
||||
Solver.mk_lit_t solver q ~sign:false];;
|
||||
- : Solver.res =
|
||||
Sidekick_base_solver.Solver.Unsat
|
||||
{Sidekick_base_solver.Solver.proof = <lazy>; unsat_core = <lazy>}
|
||||
{Sidekick_base_solver.Solver.unsat_core = <fun>}
|
||||
```
|
||||
|
||||
Here it's unsat, because we asserted "p = q", and then assumed "p"
|
||||
|
|
@ -301,7 +295,7 @@ val q_imp_not_r : Term.t = (=> q (not r))
|
|||
# Solver.solve ~assumptions:[] solver;;
|
||||
- : Solver.res =
|
||||
Sidekick_base_solver.Solver.Unsat
|
||||
{Sidekick_base_solver.Solver.proof = <lazy>; unsat_core = <lazy>}
|
||||
{Sidekick_base_solver.Solver.unsat_core = <fun>}
|
||||
```
|
||||
|
||||
This time we got _unsat_ and there is no way of undoing it.
|
||||
|
|
@ -315,13 +309,8 @@ We can solve linear real arithmetic problems as well.
|
|||
Let's create a new solver and add the theory of reals to it.
|
||||
|
||||
```ocaml
|
||||
# let solver = Solver.create ~theories:[th_bool; th_lra] tstore () ();;
|
||||
# let solver = Solver.create ~theories:[th_bool; th_lra] ~proof:(Proof_stub.create()) tstore () ();;
|
||||
val solver : Solver.t = <abstr>
|
||||
|
||||
# (* print solver's atoms *)
|
||||
let pp_atom out a = Solver.Atom.pp solver out a;;
|
||||
val pp_atom : Format.formatter -> Solver.Atom.t -> unit = <fun>
|
||||
# #install_printer pp_atom;;
|
||||
```
|
||||
|
||||
Create a few arithmetic constants.
|
||||
|
|
@ -362,15 +351,15 @@ val a_geq_1 : Term.t = (>= a 1)
|
|||
val b_leq_half : Term.t = (<= b 1/2)
|
||||
|
||||
# let res = Solver.solve solver
|
||||
~assumptions:[Solver.mk_atom_t' solver p;
|
||||
Solver.mk_atom_t' solver a_geq_1;
|
||||
Solver.mk_atom_t' solver b_leq_half];;
|
||||
~assumptions:[Solver.mk_lit_t solver p;
|
||||
Solver.mk_lit_t solver a_geq_1;
|
||||
Solver.mk_lit_t solver b_leq_half];;
|
||||
val res : Solver.res =
|
||||
Sidekick_base_solver.Solver.Unsat
|
||||
{Sidekick_base_solver.Solver.proof = <lazy>; unsat_core = <lazy>}
|
||||
{Sidekick_base_solver.Solver.unsat_core = <fun>}
|
||||
|
||||
# match res with Solver.Unsat {unsat_core=lazy us; _} -> us | _ -> assert false;;
|
||||
- : Solver.Atom.t list = [(a >= 1); (b <= 1/2)]
|
||||
# match res with Solver.Unsat {unsat_core=us; _} -> us() |> Iter.to_list | _ -> assert false;;
|
||||
- : Proof_stub.lit list = [(a >= 1); (b <= 1/2)]
|
||||
```
|
||||
|
||||
This just showed that `a=1, b=1/2, a>=b` is unsatisfiable.
|
||||
|
|
@ -412,14 +401,9 @@ val f1_u1 : Term.t = (f1 u1)
|
|||
Anyway, Sidekick knows how to reason about functions.
|
||||
|
||||
```ocaml
|
||||
# let solver = Solver.create ~theories:[] tstore () ();;
|
||||
# let solver = Solver.create ~theories:[] ~proof:(Proof_stub.create()) tstore () ();;
|
||||
val solver : Solver.t = <abstr>
|
||||
|
||||
# (* print solver's atoms *)
|
||||
let pp_atom out a = Solver.Atom.pp solver out a;;
|
||||
val pp_atom : Format.formatter -> Solver.Atom.t -> unit = <fun>
|
||||
# #install_printer pp_atom;;
|
||||
|
||||
# (* helper *)
|
||||
let appf1 x = Term.app_fun_l tstore f1 x;;
|
||||
val appf1 : Term.t list -> Term.t = <fun>
|
||||
|
|
@ -435,16 +419,16 @@ val appf1 : Term.t list -> Term.t = <fun>
|
|||
- : unit = ()
|
||||
|
||||
# Solver.solve solver
|
||||
~assumptions:[Solver.mk_atom_t' solver ~sign:false (Term.eq tstore u1 (appf1[u1]))];;
|
||||
~assumptions:[Solver.mk_lit_t solver ~sign:false (Term.eq tstore u1 (appf1[u1]))];;
|
||||
- : Solver.res =
|
||||
Sidekick_base_solver.Solver.Unsat
|
||||
{Sidekick_base_solver.Solver.proof = <lazy>; unsat_core = <lazy>}
|
||||
{Sidekick_base_solver.Solver.unsat_core = <fun>}
|
||||
|
||||
# Solver.solve solver
|
||||
~assumptions:[Solver.mk_atom_t' solver ~sign:false (Term.eq tstore u2 u3)];;
|
||||
~assumptions:[Solver.mk_lit_t solver ~sign:false (Term.eq tstore u2 u3)];;
|
||||
- : Solver.res =
|
||||
Sidekick_base_solver.Solver.Unsat
|
||||
{Sidekick_base_solver.Solver.proof = <lazy>; unsat_core = <lazy>}
|
||||
{Sidekick_base_solver.Solver.unsat_core = <fun>}
|
||||
```
|
||||
|
||||
Assuming: `f1(u1)=u2, f1(u2)=u3, f1^2(u1)=u1, f1^3(u1)=u1`,
|
||||
|
|
|
|||
|
|
@ -1,4 +1,13 @@
|
|||
-4 -1 0
|
||||
-1 0
|
||||
-3 0
|
||||
0
|
||||
i 1 2 -3 0
|
||||
i -1 -2 3 0
|
||||
i 2 3 -4 0
|
||||
i -2 -3 4 0
|
||||
i 1 3 4 0
|
||||
i -1 -3 -4 0
|
||||
i -1 2 4 0
|
||||
i 1 -2 -4 0
|
||||
r -4 -1 0
|
||||
r -1 0
|
||||
r -3 0
|
||||
r -2 -4 1 0
|
||||
r 0
|
||||
|
|
|
|||
|
|
@ -26,4 +26,4 @@
|
|||
(locks /test)
|
||||
(package sidekick-bin)
|
||||
(action
|
||||
(diff basic.drup basic.drup.expected)))
|
||||
(diff basic.drup.expected basic.drup)))
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue