Towards a Proof Framework for Information Systems with Weak Consistency.

Weakly consistent data stores are more scalable and can provide a higher availability than classical, strongly consistent data stores. However, it is much harder to reason about and to implement applications, when the underlying infrastructure provides only few guarantees. In this paper, we report on work in progress on a proof framework, which can be used to formally reason about the correctness of such applications. The framework supports the verification of functional properties, which go beyond the guarantees given by the data store and can cover relations between multiple interactions with clients and invariants between several objects. Additionally, we modeled and support modern database features, like causal consistency, snapshot-transactions, and conflict-free replicated data types (CRDTs). The framework and the proofs are developed within the interactive theorem prover Isabelle/HOL.