Brotherston, J; Kanovich, M; (2018) On the Complexity of Pointer Arithmetic in Separation Logic. In: Programming Languages and Systems. (pp. pp. 329-349). Springer: Cham, Switzerland.

Preview

Text pointer_arith_SL_APLAS_final.pdf - Published Version Download (428kB) | Preview

Abstract

We investigate the complexity consequences of adding pointer arithmetic to separation logic. Specifically, we study an extension of the points-to fragment of symbolic-heap separation logic with sets of simple “difference constraints” of the form where x and y are pointer variables and k is an integer offset. This extension can be considered a practically minimal language for separation logic with pointer arithmetic. Most significantly, we find that, even for this minimal language, polynomial-time decidability is already impossible: satisfiability becomes -complete, while quantifier-free entailment becomes -complete and quantified entailment becomes -complete (where is the second class in the polynomial-time hierarchy). However, the language does satisfy the small model property, meaning that any satisfiable formula has a model, and any invalid entailment has a countermodel, of polynomial size, whereas this property fails when richer forms of arithmetical constraints are permitted.

Download activity - last month

Export as CSVXMLJSON

Download activity - last 12 months

Export as CSVXMLJSON

Downloads by country - last 12 months

Export as JSONXMLCSV

Archive Staff Only

View Item