Generating Loop Invariants for Program Verification by Transformation

Generating Loop Invariants for Program Verification by Transformation

Loop invariants play a central role in the verification of imperative programs. However, finding these invariants is often a difficult and time-consuming task for the programmer. We have previously shown how program transformation can be used to facilitate the verification of functional programs, but the verification of imperative programs is more challenging due to the need to discover these l...

Program Transformation for Program Verification

We present a transformational approach to program verification and software model checking that uses three main ingredients: (i) Constraint Logic Programming (CLP), (ii) metaprogramming and program specialization, and (iii) proof by transformation. (i) Constraints are used for representing in a compact way (finite or infinite) sets of values or memory states, and logic is used for expressing pr...

Generating Program Invariants via Interpolation

This article focuses on automatically generating polynomial equations that are inductive loop invariants of computer programs. We propose a new algorithm for this task, which is based on polynomial interpolation. Though the proposed algorithm is not complete, it is efficient and can be applied to a broader range of problems compared to existing methods targeting similar problems. The efficiency...

Generating Loop Invariants by Computing Vanishing Ideals of Sample Points

Loop invariants play a very important role in proving correctness of programs. In this paper, we address the problem of generating invariants of polynomial loop programs. We present a new approach, for generating polynomial equation invariants of polynomial loop programs through computing vanishing ideals of sample points. We apply rational function interpolation, based on early termination tec...

Program Verification Using Automatic Generation of Invariants