An Anti Chain-based Approach to Recursive Program Verification

• https://link.springer.com/chapter/10.1007%2F978-3-319-26850-7_22

context free languages regular languages language inclusion recursion verification  antichains bounded context swirthcing

Safety verification of while programs is often phrased in terms of inclusions L(A)  in L(B) among regular languages. Antichain-based algorithms have been developed as an efficient method to check such inclusions. In this paper, we generalize the idea of antichain-based verification to verifying safety properties of recursive programs. To be precise, we give an antichain-based algorithm for checking inclusions of the form L(G) in L(B), where G is a context-free grammar and B is a finite automaton. The idea is to phrase the inclusion as a data flow analysis problem over a relational domain. In a second step, we generalize the approach towards bounded context switching.

Safety verification of while programs is often phrased in terms of inclusions L(A)  in L(B) among regular languages. Antichain-based algorithms have been developed as an efficient method to check such inclusions. In this paper, we generalize the idea of antichain-based verification to verifying safety properties of recursive programs. To be precise, we give an antichain-based algorithm for checking inclusions of the form L(G) in L(B), where G is a context-free grammar and B is a finite automaton. The idea is to phrase the inclusion as a data flow analysis problem over a relational domain. In a second step, we generalize the approach towards bounded context switching.