Real Behavior of Floating Point Numbers

Bruno Marre (1, 2) , François Bobot (2, 1) , Zakaria Chihani (2, 1)

1 DILS (CEA, LIST) - Département Ingénierie Logiciels et Systèmes
2 LSL - Laboratoire Sûreté des Logiciels

We present an efficient constraint programming (CP) approach to the SMTLIB theory of quantifier-free floating-point arithmetic (QF FP). We rely on dense interreduction between many domain representations to greatly reduce the search space. We compare our tool to current state-of-the-art SMT solvers and show that it is consistently better on large problems involving non-linear arithmetic operations (for which bit-blasting techniques tend to scale badly). Our results emphasize the importance of the conservation of the high-level structure of the original problems.

Domaines: Informatique [cs]; Autre [cs.OH]; Logique en informatique [cs.LO]

Bruno Marre, François Bobot, Zakaria Chihani. Real Behavior of Floating Point Numbers. The SMT Workshop, SMT 2017, 15th International Workshop on Satisfiability Modulo Theories, Jul 2017, Heidelberg, Germany. ⟨cea-01795760⟩