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overhaul of proof format for new solver

This commit overhauls the proof format (in development) for the new core.

NOTE: this functionality is work in progress with a long way to go.
It is shielded by the sat.euf option, which is off by default and in pre-release state.
It is too early to fuzz or use it. It is pushed into master to shed light on road-map for certifying inferences of sat.euf.

It retires the ad-hoc extension of DRUP used by the SAT solver.
Instead it relies on SMT with ad-hoc extensions for proof terms.
It adds the following commands (consumed by proof_cmds.cpp):

- assume  - for input clauses
- learn   - when a clause is learned (or redundant clause is added)
- del     - when a clause is deleted.

The commands take a list of expressions of type Bool and the
last argument can optionally be of type Proof.
When the last argument is of type Proof it is provided as a hint
to justify the learned clause.

Proof hints can be checked using a self-contained proof
checker. The sat/smt/euf_proof_checker.h class provides
a plugin dispatcher for checkers.
It is instantiated with a checker for arithmetic lemmas,
so far for Farkas proofs.

Use example:
```
(set-option :sat.euf true)
(set-option :tactic.default_tactic smt)
(set-option :sat.smt.proof f.proof)
(declare-const x Int)
(declare-const y Int)
(declare-const z Int)
(declare-const u Int)
(assert (< x y))
(assert (< y z))
(assert (< z x))
(check-sat)
```

Run z3 on a file with above content.
Then run z3 on f.proof

```
(verified-smt)
(verified-smt)
(verified-smt)
(verified-farkas)
(verified-smt)
```
This commit is contained in:
Nikolaj Bjorner 2022-08-28 17:44:33 -07:00
parent 9922c766b9
commit e2f4fc2307
37 changed files with 809 additions and 1078 deletions

View file

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/*++
Copyright (c) 2020 Microsoft Corporation
Module Name:
euf_proof_checker.cpp
Abstract:
Plugin manager for checking EUF proofs
Author:
Nikolaj Bjorner (nbjorner) 2020-08-25
--*/
#include "ast/ast_pp.h"
#include "sat/smt/euf_proof_checker.h"
#include "sat/smt/arith_proof_checker.h"
namespace euf {
proof_checker::proof_checker(ast_manager& m):
m(m) {
arith::proof_checker* apc = alloc(arith::proof_checker, m);
m_plugins.push_back(apc);
apc->register_plugins(*this);
}
proof_checker::~proof_checker() {}
void proof_checker::register_plugin(symbol const& rule, proof_checker_plugin* p) {
m_map.insert(rule, p);
}
bool proof_checker::check(expr_ref_vector const& clause, expr* e) {
if (!e || !is_app(e))
return false;
app* a = to_app(e);
proof_checker_plugin* p = nullptr;
if (m_map.find(a->get_decl()->get_name(), p))
return p->check(clause, a);
return false;
}
}