Arithmetic Solving in Z3

Author:

Bjørner Nikolaj,Nachmanson Lev

Abstract

AbstractThe theory of arithmetic is integral to many uses of SMT solvers. Z3 has implemented native solvers for arithmetic reasoning since its first release. We present a full re-implementation of Z3’s original arithmetic solver. It is based on substantial experiences from user feedback, engineering and experimentation. While providing a comprehensive overview of the main components we emphasize selected new insights we arrived at while developing and testing the solver.

Publisher

Springer Nature Switzerland

Reference37 articles.

1. Balcan, M.-F., Prasad, S., Sandholm, T., Vitercik, E. Structural analysis of branch-and-cut and the learnability of gomory mixed integer cuts. In: Koyejo, S., Mohamed, S., Agarwal, A., Belgrave, D., Cho, K., Oh, A. (eds.) Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, NeurIPS 2022, New Orleans, LA, USA, November 28–December 9 2022 (2022)

2. Lecture Notes in Computer Science;H Barbosa,2022

3. Barrett, C., Fontaine, P., Tinelli, C.: The Satisfiability Modulo Theories Library (SMT-LIB) (2016)

4. Bjørner, N.: Proofs for SMT (2022). https://z3prover.github.io/slides/proofs.html

5. Bjørner, N., et al.: Z3 internals (2023). https://z3prover.github.io/papers/z3internals.html

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