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Interpolation in local theory extensions

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons45516

Sofronie-Stokkermans,  Viorica
Automation of Logic, MPI for Informatics, Max Planck Society;

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Sofronie-Stokkermans, V. (2008). Interpolation in local theory extensions. Logical Methods in Computer Science, 4(4), Art.1.1-31. doi:10.2168/LMCS-4(4:1)2008.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-1C00-D
Abstract
In this paper we study interpolation in local extensions of a base theory. We identify situations in which it is possible to obtain interpolants in a hierarchical manner, by using a prover and a procedure for generating interpolants in the base theory as black-boxes. We present several examples of theory extensions in which interpolants can be computed this way, and discuss applications in verification, knowledge representation, and modular reasoning in combinations of local theories.