On the verification of finite failure

作者:

Highlights:

摘要

In Gori [An abstract interpretation framework to reason on finite failure and other properties of finite and infinite computations, Theoret. Comput. Sci. 290(1) (2003) 863–936] a new fixpoint semantics which correctly models finite failure has been defined. This semantics is And-compositional, compositional w.r.t. instantiation and is based on a co-continuous operator. Based on this fixpoint semantics a new inductive method able to verify a program w.r.t. the property of finite failure can be defined. In this paper we show how Ferrand's approach, using both a least fixpoint and greatest fixpoint semantics, can be adapted to finite failure. The verification method is not effective. Therefore, we consider an approximation from above and an approximation from below of our semantics, which give two different finite approximations. These approximations are used for effective program verification.

论文关键词:Abstract interpretation,Logic programming,Program verification,Finite failure

论文评审过程:Received 18 March 2002, Revised 31 May 2005, Available online 19 August 2005.

论文官网地址:https://doi.org/10.1016/j.jcss.2005.06.001