Publications

Authors:

Bonacina, Maria Paola; 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:

Sì

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; https://link.springer.com/article/10.1007/s10817-015-9325-5

Product ID:

86268

Handle IRIS:

11562/900586

Deposited On:

March 3, 2015

Last Modified:

October 2, 2022

Bibliographic citation:

Bonacina, Maria Paola; Moa, Johansson, Interpolation systems for ground proofs in automated deduction: a survey «Journal of Automated Reasoning» , vol. 54 , n. 4 , 2015 , pp. 353-390

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