Abstraction of Bit-Vector Operations for BDD-Based SMT Solvers
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Proceedings |
| Conference | Theoretical Aspects of Computing – ICTAC 2018 |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/chapter/10.1007/978-3-030-02508-3_15 |
| Doi | http://dx.doi.org/10.1007/978-3-030-02508-3_15 |
| Keywords | satisfiability modulo theories; binary decision diagrams; abstractions; bit-vectors |
| Description | BDD-based SMT solvers have recently shown to be competitive for solving satisfiability of quantified bit-vector formulas. However, these solvers reach their limits when the input formula contains complicated arithmetic. Hitherto, this problem has been alleviated by approximations reducing efficient bit-widths of bit-vector variables. In this paper, we propose an orthogonal abstraction technique working on the level of the individual instances of bit-vector operations. In particular, we compute only several bits of the operation result, which may be sufficient to decide the satisfiability of the formula. Experimental results show that our BDD-based SMT solver Q3B extended with these abstractions can solve more quantified bit-vector formulas from the smt-lib repository than state-of-the-art SMT solvers Boolector, CVC4, and Z3. |
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