Safe Session-Based Concurrency with Shared Linear State

Publisher Copyright: © 2023, The Author(s).We introduce CLASS, a session-typed, higher-order, core language that supports concurrent computation with shared linear state.publishersversionpublishe

A Universal Session Type for Untyped Asynchronous Communication

In the simply-typed lambda-calculus we can recover the full range of expressiveness of the untyped lambda-calculus solely by adding a single recursive type U = U -> U. In contrast, in the session-typed pi-calculus, recursion alone is insufficient to recover the untyped pi-calculus, primarily due to linearity: each channel just has two unique endpoints. In this paper, we show that shared channels with a corresponding sharing semantics (based on the language SILL_S developed in prior work) are enough to embed the untyped asynchronous pi-calculus via a universal shared session type U_S. We show that our encoding of the asynchronous pi-calculus satisfies operational correspondence and preserves observable actions (i.e., processes are weakly bisimilar to their encoding). Moreover, we clarify the expressiveness of SILL_S by developing an operationally correct encoding of SILL_S in the asynchronous pi-calculus

On the Fair Termination of Client-Server Sessions

Client-server sessions are based on a variation of the traditional interpretation of linear logic propositions as session types in which non-linear channels (those regulating the interaction between a pool of clients and a single server) are typed by coexponentials instead of the usual exponentials. Coexponentials enable the modeling of racing interactions, whereby clients compete to interact with a single server whose internal state (and thus the offered service) may change as the server processes requests sequentially. In this work we present a fair termination result for CSLL$^\infty$, a core calculus of client-server sessions. We design a type system such that every well-typed term corresponds to a valid derivation in $\mu$MALL$^\infty$, the infinitary proof theory of linear logic with least and greatest fixed points. We then establish a correspondence between reductions in the calculus and principal reductions in $\mu$MALL$^\infty$. Fair termination in CSLL$^\infty$ follows from cut elimination in $\mu$MALL$^\infty$

Deadlock Freedom for Asynchronous and Cyclic Process Networks

This paper considers the challenging problem of establishing deadlock freedom for message-passing processes using behavioral type systems. In particular, we consider the case of processes that implement session types by communicating asynchronously in cyclic process networks. We present APCP, a typed process framework for deadlock freedom which supports asynchronous communication, delegation, recursion, and a general form of process composition that enables specifying cyclic process networks. We discuss the main decisions involved in the design of APCP and illustrate its expressiveness and flexibility using several examples.Comment: In Proceedings ICE 2021, arXiv:2109.14908. arXiv admin note: text overlap with arXiv:2101.0903

Deadlock-Free Typestate-Oriented Programming

Context. TypeState-Oriented Programming (TSOP) is a paradigm intended to help developers in the implementation and use of mutable objects whose public interface depends on their private state. Under this paradigm, well-typed programs are guaranteed to conform with the protocol of the objects they use. Inquiry. Previous works have investigated TSOP for both sequential and concurrent objects. However, an important difference between the two settings still remains. In a sequential setting, a well-typed program either progresses indefinitely or terminates eventually. In a concurrent setting, protocol conformance is no longer enough to avoid deadlocks, a situation in which the execution of the program halts because two or more objects are involved in mutual dependencies that prevent any further progress. Approach. In this work, we put forward a refinement of TSOP for concurrent objects guaranteeing that well-typed programs not only conform with the protocol of the objects they use, but are also deadlock free. The key ingredients of the type system are behavioral types, used to specify and enforce object protocols, and dependency relations, used to represent abstract descriptions of the dependencies between objects and detect circularities that might cause deadlocks. Knowledge. The proposed approach stands out for two features. First, the approach is fully compositional and therefore scalable: the objects of a large program can be type checked in isolation; deadlock freedom of an object composition solely depends on the types of the objects being composed; any modification/refactoring of an object that does not affect its public interface does not affect other objects either. Second, we provide the first deadlock analysis technique for join patterns, a high-level concurrency abstraction with which programmers can express complex synchronizations in a succinct and declarative form. Grounding. We detail the proposed typing discipline for a core programming language blending concurrent objects, asynchronous message passing and join patterns. We prove that the type system is sound and give non-trivial examples of programs that can be successfully analyzed. A Haskell implementation of the type system that demonstrates the feasibility of the approach is publicly available. Importance. The static analysis technique described in this work can be used to certify programs written in a core language for concurrent TSOP with proven correctness guarantees. This is an essential first step towards the integration and application of the technique in a real-world developer toolchain, making programming of such systems more productive and less frustrating

Deadlock Freedom for Asynchronous and Cyclic Process Networks (Extended Version)

Establishing the deadlock-freedom property for message-passing processes is an important and challenging problem. This paper considers verification techniques based on behavioral type systems to address the relevant case of processes that communicate asynchronously in cyclic process networks and are governed by session types. We present APCP, a typed process framework for deadlock-freedom which supports asynchronous communication, delegation, recursion, and a form of process composition that enables specifying cyclic process networks. We discuss the main decisions involved in the design of APCP and establish its essential results.Comment: Extended version of arXiv:2110.00146, doi:10.4204/EPTCS.347.