A New Linear Logic for Deadlock-Free Session-Typed Processes

The π -calculus, viewed as a core concurrent programming language, has been used as the target of much research on type systems for concurrency. In this paper we propose a new type system for deadlock-free session-typed π -calculus processes, by integrating two separate lines of work. The first is the propositions-as-types approach by Caires and Pfenning, which provides a linear logic foundation for session types and guarantees deadlock-freedom by forbidding cyclic process connections. The second is Kobayashi’s approach in which types are annotated with priorities so that the type system can check whether or not processes contain genuine cyclic dependencies between communication operations. We combine these two techniques for the first time, and define a new and more expressive variant of classical linear logic with a proof assignment that gives a session type system with Kobayashi-style priorities. This can be seen in three ways: (i) as a new linear logic in which cyclic structures can be derived and a CYCLE -elimination theorem generalises CUT -elimination; (ii) as a logically-based session type system, which is more expressive than Caires and Pfenning’s; (iii) as a logical foundation for Kobayashi’s system, bringing it into the sphere of the propositions-as-types paradigm

A Pragmatic, Scalable Approach to Correct-by-Construction Process Composition Using Classical Linear Logic Inference

The need for rigorous process composition is encountered in many situations pertaining to the development and analysis of complex systems. We discuss the use of Classical Linear Logic (CLL) for correct-by-construction resource-based process composition, with guaranteed deadlock freedom, systematic resource accounting, and concurrent execution. We introduce algorithms to automate the necessary inference steps for binary compositions of processes in parallel, conditionally, and in sequence. We combine decision procedures and heuristics to achieve intuitive and practically useful compositions in an applied setting.Comment: Post-proceedings paper presented at the 28th International Symposium on Logic-Based Program Synthesis and Transformation (LOPSTR 2018), Frankfurt am Main, Germany, 4-6 September 2018 (arXiv:1808.03326). arXiv admin note: substantial text overlap with arXiv:1803.0261

Semantic Subtyping for Objects and Classes

There are two approaches for defining subtyping relations: the syntactic and the semantic one. In the semantic approach one starts from a model of the language of interest and an interpretation of types as subsets of the model. The subtyping relation is then defined as inclusion of sets denoting types. An orthogonal issue, typical of object-oriented languages, is the issue of nominal vs. structural subtyping. We aim to integrate structural subtyping with boolean connectives and semantic subtyping for a object-oriented core language and define a Java-like programming platform that exploits the benefits of both approaches, expressible in terms of code reuse and of compactness of program writing

Semantic Subtyping for Objects and Classes

There are two approaches for defining subtyping relations: the syntactic and the semantic one. In the semantic approach one starts from a model of the language of interest and an interpretation of types as subsets of the model. The subtyping relation is then defined as inclusion of sets denoting types. An orthogonal issue, typical of object-oriented languages, is the issue of nominal vs. structural subtyping. We aim to integrate structural subtyping with boolean connectives and semantic subtyping for a object-oriented core language and define a Java-like programming platform that exploits the benefits of both approaches, expressible in terms of code reuse and of compactness of program writing

A Linear Decomposition of Multiparty Sessions for Safe Distributed Programming (Artifact)

This artifact contains a version of the Scribble tool that, given a protocol specification with multiple participants, can generate Scala APIs for implementing each participant in a type-safe, protocol-abiding way. Crucially, the API generation leverages a decomposition of the multiparty protocol into type-safe peer-to-peer interactions between pairs of participants; and this, in turn, allows to implement the API internals on top of the existing lchannels library for type-safe binary session programming. As a result, several technically challenging aspects in the implementation of multiparty sessions are solved "for free", at the underlying binary level. This includes distributed multiparty session delegation: this artifact implements it for the first time