Showing papers by "Luís Caires published in 2013"

Higher-Order processes, functions, and sessions: a monadic integration

Abstract: In prior research we have developed a Curry-Howard interpretation of linear sequent calculus as session-typed processes. In this paper we uniformly integrate this computational interpretation in a functional language via a linear contextual monad that isolates session-based concurrency. Monadic values are open process expressions and are first class objects in the language, thus providing a logical foundation for higher-order session typed processes. We illustrate how the combined use of the monad and recursive types allows us to cleanly write a rich variety of concurrent programs, including higher-order programs that communicate processes. We show the standard metatheoretic result of type preservation, as well as a global progress theorem, which to the best of our knowledge, is new in the higher-order session typed setting.

Behavioral polymorphism and parametricity in session-based communication

Abstract: We investigate a notion of behavioral genericity in the context of session type disciplines. To this end, we develop a logically motivated theory of parametric polymorphism, reminiscent of the Girard-Reynolds polymorphic λ-calculus, but casted in the setting of concurrent processes. In our theory, polymorphism accounts for the exchange of abstract communication protocols and dynamic instantiation of heterogeneous interfaces, as opposed to the exchange of data types and dynamic instantiation of individual message types. Our polymorphic session-typed process language satisfies strong forms of type preservation and global progress, is strongly normalizing, and enjoys a relational parametricity principle. Combined, our results confer strong correctness guarantees for communicating systems. In particular, parametricity is key to derive non-trivial results about internal protocol independence, a concurrent analogous of representation independence, and non-interference properties of modular, distributed systems.

The type discipline of behavioral separation

Abstract: We introduce the concept of behavioral separation as a general principle for disciplining interference in higher-order imperative concurrent programs, and present a type-based approach that systematically develops the concept in the context of an ML-like language extended with concurrency and synchronization primitives. Behavioral separation builds on notions originally introduced for behavioral type systems and separation logics, but shifts the focus from the separation of static program state properties towards the separation of dynamic usage behaviors of runtime values. Behavioral separation types specify how values may be safely used by client code, and can enforce fine-grained interference control disciplines while preserving compositionality, information hiding, and flexibility. We illustrate how our type system, even if based on a small set of general primitives, is already able to tackle fairly challenging program idioms, involving aliasing at various types, concurrency with first-class threads, manipulation of linked data structures, behavioral borrowing, and invariant-based separation.

Information Flow Analysis for Valued-Indexed Data Security Compartments

Abstract: Data-intensive applications as popularised by cloud computing raise many security challenges, due to the large number of remote users involved and multi-tenancy. Frequently, the security compartment associated to data stored in shared containers, such as database tables, is not determined by the static structure of the database schema, but depends on runtime data values, as required to ensure so-called "row-level" security. In this paper, we investigate a programming language approach to these issues, based on a $$\lambda $$ -calculus extended with data manipulation primitives. We develop a type-based information flow analysis introducing a notion of value-indexed security labels, representing value-indexed security levels, or compartments. Our results ensure that well-typed programs do not break confidentiality constraints imposed by a declared security discipline.

Logic-Based Domain-Aware Session Types

Abstract: Software services and governing communication protocols are increasingly domain-aware. Domains can have multiple interpretations, such as the principals on whose behalf processes act or the location at which parties reside. Domains impact protocol compliance and access control, two central issues to overall functionality and correctness in distributed systems. This paper proposes a session-typed process framework for domain-aware communication-centric systems based on a CurryHoward interpretation of linear logic, here augmented with nominals from hybrid logic indicating domains. These nominals are explicit in the process expressions and govern domain migration, subject to a parametric accessibility relation familiar from the Kripke semantics for modal logic. Flexible access relationships among domains can be elegantly defined and statically enforced. The framework can also account for scenarios in which domain information is discovered only at runtime. Due to the logical origins of our systems, well-typed processes enjoy session fidelity, global progress, and termination. Moreover, well-typed processes always respect the accessibility relation and satisfy a form of domain parametricity, two properties crucial to show that domain-related properties of concrete programs are satisfied.