A Decision Procedure for an Extensional Theory of Arrays
LICS '01 Proceedings of the 16th Annual IEEE Symposium on Logic in Computer Science
Proceedings of the 31st ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Interpolation for data structures
Proceedings of the 14th ACM SIGSOFT international symposium on Foundations of software engineering
The design and implementation of VAMPIRE
AI Communications - CASC
Decision procedures for extensions of the theory of arrays
Annals of Mathematics and Artificial Intelligence
Finding Loop Invariants for Programs over Arrays Using a Theorem Prover
FASE '09 Proceedings of the 12th International Conference on Fundamental Approaches to Software Engineering: Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009
Constraint solving for interpolation
VMCAI'07 Proceedings of the 8th international conference on Verification, model checking, and abstract interpretation
An extension of the Knuth-Bendix ordering with LPO-like properties
LPAR'07 Proceedings of the 14th international conference on Logic for programming, artificial intelligence and reasoning
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
Quantified invariant generation using an interpolating saturation prover
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
Cover algorithms and their combination
ESOP'08/ETAPS'08 Proceedings of the Theory and practice of software, 17th European conference on Programming languages and systems
JELIA'06 Proceedings of the 10th European conference on Logics in Artificial Intelligence
Interpolation in local theory extensions
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
A combination method for generating interpolants
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
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
Integrating linear arithmetic into superposition calculus
CSL'07/EACSL'07 Proceedings of the 21st international conference, and Proceedings of the 16th annuall conference on Computer Science Logic
Journal of Symbolic Computation
Constraint solving for interpolation
Journal of Symbolic Computation
On interpolation in decision procedures
TABLEAUX'11 Proceedings of the 20th international conference on Automated reasoning with analytic tableaux and related methods
On transfinite Knuth-Bendix orders
CADE'11 Proceedings of the 23rd international conference on Automated deduction
Playing in the grey area of proofs
POPL '12 Proceedings of the 39th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Propositional interpolation and abstract interpretation
ESOP'10 Proceedings of the 19th European conference on Programming Languages and Systems
Interpolation and symbol elimination in vampire
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
Lazy abstraction with interpolants for arrays
LPAR'12 Proceedings of the 18th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
Mutual exclusion by interpolation
FLOPS'12 Proceedings of the 11th international conference on Functional and Logic Programming
Interpolant strength revisited
SAT'12 Proceedings of the 15th international conference on Theory and Applications of Satisfiability Testing
Quantifier-free interpolation in combinations of equality interpolating theories
ACM Transactions on Computational Logic (TOCL)
First-Order theorem proving and vampire
CAV'13 Proceedings of the 25th international conference on Computer Aided Verification
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We prove several results related to local proofs, interpolation and superposition calculus and discuss their use in predicate abstraction and invariant generation. Our proofs and results suggest that symbol-eliminating inferences may be an interesting alternative to interpolation.