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| Content Provider | Springer Nature Link |
|---|---|
| Author | Bonacina, Maria Paola Johansson, Moa |
| Copyright Year | 2015 |
| Abstract | Interpolation is a deductive technique applied in program analysis and verification: for example, it is used to compute over-approximations of images or refine abstractions. An interpolation system takes a refutation and extracts an interpolant by building it inductively from partial interpolants. We survey color-based interpolation systems for ground proofs produced by key inference engines of state-of-the-art solvers: DPLL for propositional logic, equality sharing for combination of convex theories, and DPLL( $\mathcal {T}$ ) for SMT-solving. Since color-based interpolation systems use colors to track symbols in proofs, equality is problematic, because replacement of equals by equals mixes symbols and therefore colors. We analyze interpolation in the presence of equality, and we demonstrate the color-based approach by giving a complete interpolation system for ground proofs by superposition. |
| Starting Page | 353 |
| Ending Page | 390 |
| Page Count | 38 |
| File Format | |
| ISSN | 01687433 |
| Journal | Journal of Automated Reasoning |
| Volume Number | 54 |
| Issue Number | 4 |
| e-ISSN | 15730670 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2015-03-20 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Interpolation systems Satisfiability modulo theories Decision procedures Theory combination Mathematical Logic and Formal Languages Artificial Intelligence (incl. Robotics) Mathematical Logic and Foundations Symbolic and Algebraic Manipulation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Artificial Intelligence Computational Theory and Mathematics Software |
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