Nemos: a framework for axiomatic and executable specifications of memory consistency models

Conforming to the underlying memory consistency rules is a fundamental require- ment for implementing shared memory systems and writing multiprocessor programs. In order to promote understanding and enable automated verification, it is highly desir- able that a memory model specification be both declarative and executable. We have developed a specification framework called Nemos (Non-operational yet Executable Memory Ordering Specifications), which employs a uniform notation based on predi- cate logic to define shared memory semantics in an axiomatic as well as compositional style. In this paper, we present this framework and discuss how constraint logic pro- gramming and SAT solving can be used to make these axiomatic specifications exe- cutable for memory model analysis, thus supporting precise specification and automatic execution in the same framework. To illustrate our approach, this paper formalizes a collection of well known memory models, including sequential consistency, coherence, PRAM, causal consistency, and processor consistency.