Bound Propagation for Arithmetic Reasoning in Vampire
Paper in proceedings, 2013

This paper describes an implementation and experimental evaluation of a recently introduced bound propagation method for solving systems of linear inequalities over the reals and rationals. The implementation is part of the first-order theorem prover Vampire. The input problems are systems of linear inequalities over reals or rationals. Their satisfiability is checked by assigning values to the variables of the system and propagating the bounds on these variables. To make the method efficient, we use various strategies for representing numbers, selecting variable orderings, choosing variable values and propagating bounds. We evaluate our implementation on a large number of examples and compare it with state-of-the-art SMT solvers.

Conflict resolution

Bound propagation method

formal methods

theorem proving

Linear real arithmetic

Arithmetic reasoning

automated reasoning

Linear arithmetic


I. Dragan

Vienna University of Technology

Konstantin Korovin

University of Manchester

Laura Kovacs

Chalmers, Computer Science and Engineering (Chalmers), Software Technology (Chalmers)

Andrei Voronkov

University of Manchester

Proceedings of the 15th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, September 23-26, 2013, Timisoara, Romania. Nikolaj Bjorner (editors), IEEE series


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Information and Communication Technology

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Computer and Information Science

Software Engineering

Computer Science





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