- Authors:
-
Bonacina, Maria Paola; Moa, Johansson
- Title:
-
On interpolation in automated theorem proving
- 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:
-
1
- :
- Kluwer
- Page numbers:
-
69-97
- Keyword:
-
Interpolation Systems; Resolution; Superposition
- Short description of contents:
- Given two inconsistent formulae, a (reverse) interpolant is a formula implied by one, inconsistent with the other, and only containing symbols they share. Interpolation finds application in program analysis, verification, and synthesis, for example, towards invariant generation. An interpolation system takes a refutation of the inconsistent formulae and extracts an interpolant by building it inductively from partial interpolants. Known interpolation systems for ground proofs use colors to track symbols. We show by examples that the color-based approach cannot handle non-ground refutations by resolution and paramodulation/superposition. We present a two-stage approach that works by tracking literals, computes a provisional interpolant, which may contain non-shared symbols, and applies lifting to replace non-shared constants by quantified variables. We obtain an interpolation system for non-ground refutations, and we prove that it is complete, if the only non-shared symbols in provisional interpolants are constants.
- Note:
- Published online on 19 October 2014
- Web page:
-
https://link.springer.com/article/10.1007/s10817-014-9314-0
http://doi.org/10.1007/s10817-014-9314-0
http://profs.sci.univr.it/~bonacina/
- Product ID:
-
83332
- Handle IRIS:
-
11562/801564
- Deposited On:
-
October 22, 2014
- Last Modified:
-
January 31, 2023
- Bibliographic citation:
-
Bonacina, Maria Paola; Moa, Johansson,
On interpolation in automated theorem proving
«Journal of Automated Reasoning»
, vol.
54
, n.
1
,
2015
,
pp. 69-97
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