Domain Compression for Complete Abstractions

By: Roberto Giacobazzi and Isabella Mastroeni

Roberto Giacobazzi
Dip. di Informatica
Univ. di Verona
Strada Le Grazie a Ca' Vignal 2
I-37134 Verona, Italy
roberto.giacobazzi@univr.it

Isabella Mastroeni
Dip. di Informatica
Univ. di Verona
Strada Le Grazie a Ca' Vignal 2
I-37134 Verona, Italy
mastroeni@sci.univr.it

Abstract:

We introduce the operation of domain compression for complete refinements of finite abstract domains. This provides a systematic method for simplifying abstract domains in order to isolate the most abstract domain, when it exists, whose refinement toward completeness for a given semantic function returns a given domain. Domain compression is particularly relevant to compare abstractions in static program analysis and abstract model checking. In this latter case we consider domain compression in predicate abstraction of transition systems.
Related papers:
  • A Unifying View on Abstract Domain Design (ACM Comp. Surveys 28(2), 1996)
  • Refining and compressing abstract domains (ICALP'97, LNCS 1256: 771-781, 1997)
  • Completeness in abstract interpretation: A domain perspective (AMAST'97, LNCS 1349: 231-245, 1997)
  • Complete abstract interpretations made constructive (MFCS'98, LNCS 1450:366-377, 1998)
  • Building Complete Abstract Interpretations in a Linear Logic-based Setting (SAS'98, LNCS, 1998)
  • Making abstract interpretations complete (Journal of the ACM. 47(2):361-416 2000).
  • Incompleteness, Counterexamples and Refinements in Abstract Model-Checking (LNCS 2126, SAS'01,2001)

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    mastroeni@sci.univr.it