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test: update doc guide

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Simon Cruanes 2022-10-12 22:45:47 -04:00
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1 changed files with 13 additions and 13 deletions
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doc/guide.md
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@ -129,7 +129,7 @@ Let's look at some basic terms we can build immediately.
- : Term.term = false
# Term.eq tstore (Term.true_ tstore) (Term.false_ tstore);;
- : Term.term = (= Bool false true)
- : Term.term = (= Bool true false)
```
Cool. Similarly, we need to manipulate types.
@ -181,15 +181,15 @@ val p_imp_r : Term.term = (=> p r)
### Using a solver.
We can create a solver by passing `Solver.create` a term store
and a proof trace (here, `Proof_trace.dummy` because we don't care about
and a proof trace (here, `Tracer.dummy` because we don't care about
proofs).
A list of theories can be added initially, or later using
`Solver.add_theory`.
```ocaml
# let proof = Proof_trace.dummy;;
val proof : Proof_trace.t = <abstr>
# let solver = Solver.create_default ~theories:[th_bool_static] ~proof tstore ();;
# let tracer = Tracer.dummy;;
val tracer : Tracer.t = <obj>
# let solver = Solver.create_default ~theories:[th_bool_static] ~tracer tstore ();;
val solver : solver = <abstr>
# Solver.add_theory;;
@ -231,7 +231,7 @@ whether the assertions and hypotheses are satisfiable together.
Solver.mk_lit_t solver q ~sign:false];;
- : Solver.res =
Sidekick_smt_solver.Solver.Unsat
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_step_id = <fun>}
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_proof = <fun>}
```
Here it's unsat, because we asserted "p = q", and then assumed "p"
@ -288,7 +288,7 @@ val q_imp_not_r : Term.term = (=> q (not r))
# Solver.solve ~assumptions:[] solver;;
- : Solver.res =
Sidekick_smt_solver.Solver.Unsat
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_step_id = <fun>}
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_proof = <fun>}
```
This time we got _unsat_ and there is no way of undoing it.
@ -302,7 +302,7 @@ 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_default ~theories:[th_bool_static; th_lra] ~proof tstore ();;
# let solver = Solver.create_default ~theories:[th_bool_static; th_lra] ~tracer tstore ();;
val solver : solver = <abstr>
```
@ -351,10 +351,10 @@ val b_leq_half : Term.term = (<= b 1/2)
Solver.mk_lit_t solver b_leq_half];;
val res : Solver.res =
Sidekick_smt_solver.Solver.Unsat
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_step_id = <fun>}
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_proof = <fun>}
# match res with Solver.Unsat {unsat_core=us; _} -> us() |> Iter.to_list | _ -> assert false;;
- : Proof_trace.lit list = [[[ (>= a 1) ]]; [[ (<= b 1/2) ]]]
- : Lit.t list = [[[ (>= a 1) ]]; [[ (<= b 1/2) ]]]
```
This just showed that `a=1, b=1/2, a>=b` is unsatisfiable.
@ -397,7 +397,7 @@ val f1_u1 : Term.term = (f1 u1)
Anyway, Sidekick knows how to reason about functions.
```ocaml
# let solver = Solver.create_default ~theories:[] ~proof tstore ();;
# let solver = Solver.create_default ~theories:[] ~tracer tstore ();;
val solver : solver = <abstr>
# (* helper *)
@ -418,13 +418,13 @@ val appf1 : Term.term list -> Term.term = <fun>
~assumptions:[Solver.mk_lit_t solver ~sign:false (Term.eq tstore u1 (appf1[u1]))];;
- : Solver.res =
Sidekick_smt_solver.Solver.Unsat
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_step_id = <fun>}
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_proof = <fun>}
# Solver.solve solver
~assumptions:[Solver.mk_lit_t solver ~sign:false (Term.eq tstore u2 u3)];;
- : Solver.res =
Sidekick_smt_solver.Solver.Unsat
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_step_id = <fun>}
{Sidekick_smt_solver.Solver.unsat_core = <fun>; unsat_proof = <fun>}
```
Assuming: `f1(u1)=u2, f1(u2)=u3, f1^2(u1)=u1, f1^3(u1)=u1`,