On the mechanical derivation of loop invariants
Journal of Symbolic Computation - Special issue on automatic programming
Fast Decision Procedures Based on Congruence Closure
Journal of the ACM (JACM)
Simplification by Cooperating Decision Procedures
ACM Transactions on Programming Languages and Systems (TOPLAS)
Constructing Craig Interpolation Formulas
COCOON '95 Proceedings of the First Annual International Conference on Computing and Combinatorics
Proceedings of the 31st ACM SIGPLAN-SIGACT symposium on Principles of programming languages
DATE '03 Proceedings of the conference on Design, Automation and Test in Europe - Volume 1
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
ACM Transactions on Computational Logic (TOCL)
The Calculus of Computation: Decision Procedures with Applications to Verification
The Calculus of Computation: Decision Procedures with Applications to Verification
Model-based Theory Combination
Electronic Notes in Theoretical Computer Science (ENTCS)
Ground Interpolation for the Theory of Equality
TACAS '09 Proceedings of the 15th International Conference on Tools and Algorithms for the Construction and Analysis of Systems: Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009,
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
Automated deduction for verification
ACM Computing Surveys (CSUR)
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
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
On theorem proving for program checking: historical perspective and recent developments
Proceedings of the 12th international ACM SIGPLAN symposium on Principles and practice of declarative programming
On Deciding Satisfiability by Theorem Proving with Speculative Inferences
Journal of Automated Reasoning
VMCAI'10 Proceedings of the 11th international conference on Verification, Model Checking, and Abstract Interpretation
Flexible interpolation with local proof transformations
Proceedings of the International Conference on Computer-Aided Design
Lazy annotation for program testing and verification
CAV'10 Proceedings of the 22nd international conference on Computer Aided Verification
A combination method for generating interpolants
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
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
An interpolating sequent calculus for quantifier-free presburger arithmetic
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
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)
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Interpolation means finding intermediate formulae between given formulae. When formulae decorate program locations, and describe sets of program states, interpolation may enable a program analyzer to discover information about intermediate locations and states. This mechanism has an increasing number of applications, that are relevant to program analysis and synthesis. We study interpolation in theorem proving decision procedures based on the DPLL (T) paradigm. We survey interpolation systems for DPLL, equality sharing and DPLL (T), reconstructing from the literature their completeness proofs, and clarifying the requirements for interpolation in the presence of equality.