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Interpolation systems for ground proofs in automated deduction: a survey  (2015)

Authors:
Maria Paola Bonacina; Moa Johansson
Title:
Interpolation systems for ground proofs in automated deduction: a survey
Year:
2015
Type of item:
Articolo in Rivista
Tipologia ANVUR:
Articolo su rivista
Language:
Inglese
Format:
A Stampa
Referee:
Name of journal:
Journal of Automated Reasoning
ISSN of journal:
0168-7433
N° Volume:
54
Number or Folder:
4
:
Kluwer
Page numbers:
353-390
Keyword:
Automated theorem proving; Satisfiability modulo theories; Superposition-based inference systems
Short description of contents:
Interpolation is a deductive technique applied in program analysis and verification: for example, it is used to compute over-approximations of images orrefine 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(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.
Note:
Published online 20 March 2015
Web page:
http://dx.doi.org/10.1007/s10817-015-9325-5; http://profs.sci.univr.it/~bonacina/interpolation.html; http://profs.sci.univr.it/~bonacina/worksbydate.html; http://profs.sci.univr.it/~bonacina/pub_jou.html
Product ID:
86268
Handle IRIS:
11562/900586
Deposited On:
March 3, 2015
Last Modified:
July 1, 2020
Bibliographic citation:
Maria Paola Bonacina; Moa Johansson, Interpolation systems for ground proofs in automated deduction: a survey «Journal of Automated Reasoning» , vol. 54 , n. 42015pp. 353-390

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