On the Executability of Interactive Computation

The model of interactive Turing machines (ITMs) has been proposed to characterise which stream translations are interactively computable; the model of reactive Turing machines (RTMs) has been proposed to characterise which behaviours are reactively executable. In this article we provide a comparison of the two models. We show, on the one hand, that the behaviour exhibited by ITMs is reactively executable, and, on the other hand, that the stream translations naturally associated with RTMs are interactively computable. We conclude from these results that the theory of reactive executability subsumes the theory of interactive computability. Inspired by the existing model of ITMs with advice, which provides a model of evolving computation, we also consider RTMs with advice and we establish that a facility of advice considerably upgrades the behavioural expressiveness of RTMs: every countable transition system can be simulated by some RTM with advice up to a fine notion of behavioural equivalence.Comment: 15 pages, 0 figure

Sequential Composition in the Presence of Intermediate Termination (Extended Abstract)

The standard operational semantics of the sequential composition operator gives rise to unbounded branching and forgetfulness when transparent process expressions are put in sequence. Due to transparency, the correspondence between context-free and pushdown processes fails modulo bisimilarity, and it is not clear how to specify an always terminating half counter. We propose a revised operational semantics for the sequential composition operator in the context of intermediate termination. With the revised operational semantics, we eliminate transparency, allowing us to establish a close correspondence between context-free processes and pushdown processes. Moreover, we prove the reactive Turing powerfulness of TCP with iteration and nesting with the revised operational semantics for sequential composition.Comment: In Proceedings EXPRESS/SOS 2017, arXiv:1709.00049. arXiv admin note: substantial text overlap with arXiv:1706.0840

Sequential Composition in the Presence of Intermediate Termination (Extended Abstract)

The standard operational semantics of the sequential composition operator gives rise to unbounded branching and forgetfulness when transparent process expressions are put in sequence. Due to transparency, the correspondence between context-free and pushdown processes fails modulo bisimilarity, and it is not clear how to specify an always terminating half counter. We propose a revised operational semantics for the sequential composition operator in the context of intermediate termination. With the revised operational semantics, we eliminate transparency, allowing us to establish a close correspondence between context-free processes and pushdown processes. Moreover,we prove the reactive Turing powerfulness of TCP with iteration and nesting with the revised operational semantics for sequential composition

Modeling, verification, and analysis of timed actor-based models

In the recent years, formal modeling and verification of realtime systems have become very important. Difficult-to-use modeling languages and inefficient analysis tools are the main obstacles to use formal methods in this domain. Timed actor model is one of the modeling paradigms which is proposed for modeling of realtime systems. It benefits from high-level object-oriented modeling facilities; however, developed analysis techniques for timed actors needs to be improved to make the actor model acceptable for the analysis of real-world applications. In this thesis, we first tackle the model checking problem of timed actors by proposing the standard semantics of timed actors in terms of fine-grained timed transition system (FGTS) and transforming it to Durational Transition Graph (DTG). This way, while the time complexity of model checking algorithms for TCTL properties, in general, is non-polynomial, we are able to check TCTL properties (a subset of TCTL) using model checking in polynomial time. We also improve the model checking algorithm of TCTL properties, obtaining time complexity of O((V lg V+E) |Φ|) instead of O(V(V+E)|Φ|) and use it for efficient model checking of timed actors. In addition, we propose a reduction technique which safely eliminates instantaneous transitions of FGTS. Using the proposed reduction technique, we provide an efficient algorithm for model checking of complete TCTL properties over the reduced transition systems. In actor-based models, the absence of shared variables and the presence of single-threaded actors along with non-preemptive execution of each message server, ensure that the execution of message servers do not interfere with each other. Based on this observation, we propose Floating Time Transition System (FTTS) as the big-step semantics of timed actors. The big-step semantics exploits actor features for relaxing the synchronization of progressof time among actors, and thereby reducing the number of states in transition systems. Considering an actor-based language, we prove there is an action-based weak bisimulation relation between FTTS and FGTS. As a result, the big-step semantics preserves event-based branching-time properties. Finally, we show how Timed Rebeca and FTTS are used as the back-end analysis technique of three different independent works to illustrate the applicability of FTTS in practice.The work on this dissertation was supported by the project “Self-Adaptive Actors:SEADA” (nr. 163205-051) of the Icelandic Research Fund