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» Ario: A Linear Integer Arithmetic Logic Solver
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CADE
2009
Springer
14 years 5 months ago
Solving Non-linear Polynomial Arithmetic via SAT Modulo Linear Arithmetic
Abstract. Polynomial constraint-solving plays a prominent role in several areas of engineering and software verification. In particular, polynomial constraint solving has a long an...
Albert Rubio, Cristina Borralleras, Enric Rodr&iac...
CADE
2012
Springer
11 years 7 months ago
Rewriting Induction + Linear Arithmetic = Decision Procedure
Abstract. This paper presents new results on the decidability of inductive validity of conjectures. For these results, a class of term rewrite systems (TRSs) with built-in linear i...
Stephan Falke, Deepak Kapur
CADE
2006
Springer
14 years 5 months ago
Solving Sparse Linear Constraints
Linear arithmetic decision procedures form an important part of theorem provers for program verification. In most verification benchmarks, the linear arithmetic constraints are dom...
Shuvendu K. Lahiri, Madanlal Musuvathi
CADE
2006
Springer
14 years 5 months ago
Verifying Mixed Real-Integer Quantifier Elimination
Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...
Amine Chaieb
SPIN
2012
Springer
11 years 7 months ago
SMTInterpol: An Interpolating SMT Solver
Abstract. Craig interpolation is an active research topic and has become a powerful technique in verification. We present SMTInterpol, an interpolating SMT solver for the quanti...
Jürgen Christ, Jochen Hoenicke, Alexander Nut...