Theory of linear and integer programming
Theory of linear and integer programming
Tractable disjunctions of linear constraints: basic results and applications to temporal reasoning
Theoretical Computer Science
A static analyzer for large safety-critical software
PLDI '03 Proceedings of the ACM SIGPLAN 2003 conference on Programming language design and implementation
Proceedings of the 31st ACM SIGPLAN-SIGACT symposium on Principles of programming languages
An interpolating theorem prover
Theoretical Computer Science - Tools and algorithms for the construction and analysis of systems (TACAS 2004)
Interpolation for data structures
Proceedings of the 14th ACM SIGSOFT international symposium on Foundations of software engineering
Model checking duration calculus: a practical approach
ICTAC'06 Proceedings of the Third international conference on Theoretical Aspects of Computing
VMCAI'05 Proceedings of the 6th international conference on Verification, Model Checking, and Abstract Interpretation
Lazy abstraction with interpolants
CAV'06 Proceedings of the 18th international conference on Computer Aided Verification
Interpolation in local theory extensions
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
Interpolant-based transition relation approximation
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
Linear ranking with reachability
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
Hierarchic reasoning in local theory extensions
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
A combination method for generating interpolants
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
ARMC: the logical choice for software model checking with abstraction refinement
PADL'07 Proceedings of the 9th international conference on Practical Aspects of Declarative Languages
A practical and complete approach to predicate refinement
TACAS'06 Proceedings of the 12th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Abstraction refinement with craig interpolation and symbolic pushdown systems
TACAS'06 Proceedings of the 12th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Automatic Verification of Combined Specifications: An Overview
Electronic Notes in Theoretical Computer Science (ENTCS)
Electronic Notes in Theoretical Computer Science (ENTCS)
Using Predicate Abstraction to Generate Heuristic Functions in UPPAAL
Model Checking and Artificial Intelligence
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
FroCoS '07 Proceedings of the 6th international symposium on Frontiers of Combining Systems
Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
CSIsat: Interpolation for LA+EUF
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
Interpolants for Linear Arithmetic in SMT
ATVA '08 Proceedings of the 6th International Symposium on Automated Technology for Verification and Analysis
ACM Computing Surveys (CSUR)
Efficient Craig interpolation for linear Diophantine (dis)equations and linear modular equations
Formal Methods in System Design
Interpolant Generation for UTVPI
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
Ground Interpolation for Combined Theories
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
Interpolation and Symbol Elimination
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
Efficient interpolant generation in satisfiability modulo theories
TACAS'08/ETAPS'08 Proceedings of the Theory and practice of software, 14th international conference on Tools and algorithms for the construction and analysis of systems
Automatically refining abstract interpretations
TACAS'08/ETAPS'08 Proceedings of the Theory and practice of software, 14th international conference on Tools and algorithms for the construction and analysis of systems
Efficient generation of craig interpolants in satisfiability modulo theories
ACM Transactions on Computational Logic (TOCL)
Constraint solving for interpolation
Journal of Symbolic Computation
Constrained monotonic abstraction: a CEGAR for parameterized verification
CONCUR'10 Proceedings of the 21st international conference on Concurrency theory
Interpolating quantifier-free Presburger arithmetic
LPAR'10 Proceedings of the 17th international conference on Logic for programming, artificial intelligence, and reasoning
Distributed and predictable software model checking
VMCAI'11 Proceedings of the 12th international conference on Verification, model checking, and abstract interpretation
FroCoS'11 Proceedings of the 8th international conference on Frontiers of combining systems
An Interpolating Sequent Calculus for Quantifier-Free Presburger Arithmetic
Journal of Automated Reasoning
Interpolation and symbol elimination in vampire
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
An interpolating sequent calculus for quantifier-free presburger arithmetic
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
Solving recursion-free horn clauses over LI+UIF
APLAS'11 Proceedings of the 9th Asian conference on Programming Languages and Systems
Synthesizing software verifiers from proof rules
Proceedings of the 33rd ACM SIGPLAN conference on Programming Language Design and Implementation
Interpolant strength revisited
SAT'12 Proceedings of the 15th international conference on Theory and Applications of Satisfiability Testing
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
A complete method for symmetry reduction in safety verification
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
TRACER: a symbolic execution tool for verification
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
SMTInterpol: an interpolating SMT solver
SPIN'12 Proceedings of the 19th international conference on Model Checking Software
ATVA'12 Proceedings of the 10th international conference on Automated Technology for Verification and Analysis
Complete instantiation-based interpolation
POPL '13 Proceedings of the 40th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Lemma localization: a practical method for downsizing SMT-interpolants
Proceedings of the Conference on Design, Automation and Test in Europe
Path-sensitive resource analysis compliant with assertions
Proceedings of the Eleventh ACM International Conference on Embedded Software
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Interpolation is an important component of recent methods for program verification. It provides a natural and effective means for computing separation between the sets of 'good' and 'bad' states. The existing algorithms for interpolant generation are proof-based: They require explicit construction of proofs, from which interpolants can be computed. Construction of such proofs is a difficult task. We propose an algorithm for the generation of interpolants for the combined theory of linear arithmetic and uninterpreted function symbols that does not require a priori constructed proofs to derive interpolants. It uses a reduction of the problem to constraint solving in linear arithmetic, which allows application of existing highly optimized Linear Programming solvers in black-box fashion. We provide experimental evidence of the practical applicability of our algorithm.