A Sequent Calculus for Integer Arithmetic with Counterexample Generation

Philipp Rümmer
2007 Conference on Automated Deduction  
We introduce a calculus for handling integer arithmetic in first-order logic. The method is tailored to Java program verification and meant to be used both as a supporting procedure and simplifier during interactive verification and as an automated tool for discharging (ground) proof obligations. There are four main components: a complete procedure for linear equations, a complete procedure for linear inequalities, an incomplete procedure for nonlinear (polynomial) equations, and an incomplete
more » ... rocedure for nonlinear inequalities. The calculus is complete for the generation of counterexamples for invalid ground formula in integer arithmetic. All parts described here have been implemented as part of the KeY verification system.
dblp:conf/cade/Rummer07 fatcat:t23aqt7sfbfobdoul6fha32iqm