- Autori:
-
Bonacina, Maria Paola; Moa, Johansson
- Titolo:
-
On interpolation in automated theorem proving
- Anno:
-
2015
- Tipologia prodotto:
-
Articolo in Rivista
- Tipologia ANVUR:
- Articolo su rivista
- Lingua:
-
Inglese
- Formato:
-
A Stampa
- Referee:
-
Sì
- Nome rivista:
- Journal of Automated Reasoning
- ISSN Rivista:
- 0168-7433
- N° Volume:
-
54
- Numero o Fascicolo:
-
1
- Editore:
- Kluwer
- Intervallo pagine:
-
69-97
- Parole chiave:
-
Interpolation Systems; Resolution; Superposition
- Breve descrizione dei contenuti:
- 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
- Pagina Web:
-
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/
- Id prodotto:
-
83332
- Handle IRIS:
-
11562/801564
- depositato il:
-
22 ottobre 2014
- ultima modifica:
-
23 febbraio 2023
- Citazione bibliografica:
-
Bonacina, Maria Paola; Moa, Johansson,
On interpolation in automated theorem proving
«Journal of Automated Reasoning»
, vol.
54
, n.
1
,
2015
,
pp. 69-97
Consulta la scheda completa presente nel
repository istituzionale della Ricerca di Ateneo 
