1,587 research outputs found
Session typing and asynchronous subtyping for the higher-order π-calculus
AbstractThis paper proposes a session typing system for the higher-order π-calculus (the HOπ-calculus) with asynchronous communication subtyping, which allows partial commutativity of actions in higher-order processes. The system enables two complementary kinds of optimisation, mobile code and asynchronous permutation of session actions, within processes that utilise structured, typed communications. Our first contribution is a session typing system for the HOπ-calculus using techniques from the linear λ-calculus. Integration of arbitrary higher-order code mobility and sessions leads to technical difficulties in type soundness, because linear usage of session channels and completion of sessions are required. Our second contribution is to introduce an asynchronous subtyping system which uniformly deals with type-manifested asynchrony and linear functions. The most technical challenge for subtyping is to prove the transitivity of the subtyping relation. We also demonstrate the expressiveness of our typing system with an e-commerce example, where optimised processes can interact respecting the expected sessions
On the preciseness of subtyping in session types
Subtyping in concurrency has been extensively studied since early 1990s as one of the most interesting issues in type theory. The correctness of subtyping relations has been usually provided as the soundness for type safety. The converse direction, the completeness, has been largely ignored in spite of its usefulness to define the greatest subtyping relation ensuring type safety. This paper formalises preciseness (i.e. both soundness and completeness) of subtyping for mobile processes and studies it for the synchronous and the asynchronous session calculi. We first prove that the well-known session subtyping, the branching-selection subtyping, is sound and complete for the synchronous calculus. Next we show that in the asynchronous calculus, this subtyping is incomplete for type-safety: that is, there exist session types T and S such that T can safely be considered as a subtype of S, but T ≤ S is not derivable by the subtyping. We then propose an asynchronous sub-typing system which is sound and complete for the asynchronous calculus. The method gives a general guidance to design rigorous channel-based subtypings respecting desired safety properties
Type systems for distributed programs: session communication
Distributed systems are everywhere around us and guaranteeing their correctness is of paramount importance. It is natural to expect that these systems interact and communicate among them to achieve a common task.
In this work, we develop techniques based on types and type systems for the verification of correctness, consistency and safety properties related to communication in complex distributed systems. We study advanced safety properties related to communication, like deadlock or lock freedom and progress. We study session types in the pi-calculus describing distributed systems and communication-centric computation. Most importantly, we de- fine an encoding of the session pi-calculus into the standard typed pi-calculus in order to understand the expressive power of these concurrent calculi. We show how to derive in the session pi-calculus basic properties, like type safety or complex ones, like progress, by exploiting this encoding
Session Types as Generic Process Types
Behavioural type systems ensure more than the usual safety guarantees of
static analysis. They are based on the idea of "types-as-processes", providing
dedicated type algebras for particular properties, ranging from protocol
compatibility to race-freedom, lock-freedom, or even responsiveness. Two
successful, although rather different, approaches, are session types and
process types. The former allows to specify and verify (distributed)
communication protocols using specific type (proof) systems; the latter allows
to infer from a system specification a process abstraction on which it is
simpler to verify properties, using a generic type (proof) system. What is the
relationship between these approaches? Can the generic one subsume the specific
one? At what price? And can the former be used as a compiler for the latter?
The work presented herein is a step towards answers to such questions.
Concretely, we define a stepwise encoding of a pi-calculus with sessions and
session types (the system of Gay and Hole) into a pi-calculus with process
types (the Generic Type System of Igarashi and Kobayashi). We encode session
type environments, polarities (which distinguish session channels end-points),
and labelled sums. We show forward and reverse operational correspondences for
the encodings, as well as typing correspondences. To faithfully encode session
subtyping in process types subtyping, one needs to add to the target language
record constructors and new subtyping rules. In conclusion, the programming
convenience of session types as protocol abstractions can be combined with the
simplicity and power of the pi-calculus, taking advantage in particular of the
framework provided by the Generic Type System.Comment: In Proceedings EXPRESS/SOS 2014, arXiv:1408.127
Unifying type systems for mobile processes
We present a unifying framework for type systems for process calculi. The
core of the system provides an accurate correspondence between essentially
functional processes and linear logic proofs; fragments of this system
correspond to previously known connections between proofs and processes. We
show how the addition of extra logical axioms can widen the class of typeable
processes in exchange for the loss of some computational properties like
lock-freeness or termination, allowing us to see various well studied systems
(like i/o types, linearity, control) as instances of a general pattern. This
suggests unified methods for extending existing type systems with new features
while staying in a well structured environment and constitutes a step towards
the study of denotational semantics of processes using proof-theoretical
methods
Session types revisited
Session types are a formalism used to model structured communication-based programming. A binary session type describes communication by specifying the type and direction of data exchanged between two parties. When session types and session processes are added to the syntax of standard π-calculus they give rise to additional separate syntactic categories. As a consequence, when new type features are added, there is duplication of effort in the theory: the proofs of properties must be checked both on standard types and on session types. We show that session types are encodable into standard π- types, relying on linear and variant types. Besides being an expressivity result, the encoding (i) removes the above redundancies in the syntax, and (ii) the properties of session types are derived as straightforward corollaries, exploiting the corresponding properties of standard π-types. The robustness of the encoding is tested on a few extensions of session types, including subtyping, polymorphism and higher-order communications
Uniqueness Typing for Resource Management in Message-Passing Concurrency
We view channels as the main form of resources in a message-passing
programming paradigm. These channels need to be carefully managed in settings
where resources are scarce. To study this problem, we extend the pi-calculus
with primitives for channel allocation and deallocation and allow channels to
be reused to communicate values of different types. Inevitably, the added
expressiveness increases the possibilities for runtime errors. We define a
substructural type system which combines uniqueness typing and affine typing to
reject these ill-behaved programs
A Type Language for Calendars
Time and calendars play an important role in databases,
on the Semantic Web, as well as in mobile computing. Temporal data
and calendars require (specific) modeling and processing tools. CaTTS
is a type language for calendar definitions using which one can model
and process temporal and calendric data. CaTTS is based on a "theory
reasoning" approach for efficiency reasons. This article addresses type
checking temporal and calendric data and constraints. A thesis underlying
CaTTS is that types and type checking are as useful and desirable
with calendric data types as with other data types. Types enable
(meaningful) annotation of data. Type checking enhances efficiency and
consistency of programming and modeling languages like database and
Web query languages
Recursive Session Types Revisited
Session types model structured communication-based programming. In
particular, binary session types for the pi-calculus describe communication
between exactly two participants in a distributed scenario. Adding sessions to
the pi-calculus means augmenting it with type and term constructs. In a
previous paper, we tried to understand to which extent the session constructs
are more complex and expressive than the standard pi-calculus constructs. Thus,
we presented an encoding of binary session pi-calculus to the standard typed
pi-calculus by adopting linear and variant types and the continuation-passing
principle. In the present paper, we focus on recursive session types and we
present an encoding into recursive linear pi-calculus. This encoding is a
conservative extension of the former in that it preserves the results therein
obtained. Most importantly, it adopts a new treatment of the duality relation,
which in the presence of recursive types has been proven to be quite
challenging.Comment: In Proceedings BEAT 2014, arXiv:1408.556
Name-passing calculi and crypto-primitives: A survey
The paper surveys the literature on high-level name-passing process calculi, and their extensions with cryptographic primitives. The survey is by no means exhaustive, for essentially two reasons. First, in trying to provide a coherent presentation of different ideas and techniques, one inevitably ends up leaving out the approaches that do not fit the intended roadmap. Secondly, the literature on the subject has been growing at very high rate over the years. As a consequence, we decided to concentrate on few papers that introduce the main ideas, in the hope that discussing them in some detail will provide sufficient insight for further reading
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