Design Architecture

Download Decidability of Parameterized Verification by Roderick Bloem, Swen Jacobs, Ayrat Khalimov PDF

By Roderick Bloem, Swen Jacobs, Ayrat Khalimov

Whereas the vintage version checking challenge is to choose even if a finite approach satisfies a specification, the aim of parameterized version checking is to make a decision, given finite structures M(n) parameterized by means of n in N, even if, for all n in N, the procedure M(n) satisfies a specification. during this publication we give some thought to the real case of M(n) being a concurrent process, the place the variety of replicated procedures will depend on the parameter n yet each one approach is self sufficient of n. Examples are cache coherence protocols, networks of finite-state brokers, and structures that resolve mutual exclusion or scheduling difficulties. extra examples are abstractions of structures, the place the tactics of the unique structures really depend upon the parameter.

We literature during this region has studied a wealth of computational types according to numerous synchronization and communique primitives, together with token passing, broadcast, and protected transitions. frequently, various terminology is utilized in the literature, and effects are in response to implicit assumptions. during this e-book, we introduce a computational version that unites the imperative synchronization and conversation primitives of many versions, and unveils hidden assumptions from the literature. We survey current decidability and undecidability effects, and provides a scientific view of the elemental difficulties during this intriguing examine quarter.

Show description

Read Online or Download Decidability of Parameterized Verification PDF

Similar design & architecture books

Mathematics and the Divine: A Historical Study

Arithmetic and the Divine appear to correspond to diametrically adverse developments of the human brain. Does the mathematician now not search what's accurately outlined, and do the gadgets meant by way of the mystic and the theologian no longer lie past definition? Is arithmetic no longer Man's look for a degree, and is not the Divine that that's immeasurable ?

Agile Portfolio Management

Learn how your organization s complete undertaking portfolio can enjoy the rules of agility from a professional on agile tactics. Agile software program improvement is now extra renowned than ever, yet agility doesn t have to cease there. This consultant takes a big-picture examine how portfolio managers and venture managers could make use of confirmed agile improvement easy methods to bring up organizational potency.

Analysis of Neural Networks

The aim of this paintings is a unified and normal remedy of task in neural networks from a mathematical standpoint. attainable functions of the speculation offered are indica­ ted through the textual content. despite the fact that, they don't seem to be explored in de­ tail for 2 purposes : first, the common personality of n- ral task in approximately all animals calls for a few kind of a common method~ secondly, the mathematical perspicuity may endure if too many experimental info and empirical peculiarities have been interspersed one of the mathematical research.

Heterogeneous System Architecture. A New Compute Platform Infrastructure

Heterogeneous structures structure - a brand new compute platform infrastructure provides a next-generation platform, and linked software program, that permits processors of alternative kinds to paintings successfully and cooperatively in shared reminiscence from a unmarried resource application. HSA additionally defines a digital ISA for parallel exercises or kernels, that's seller and ISA self reliant therefore allowing unmarried resource courses to execute throughout any HSA compliant heterogeneous processer from these utilized in smartphones to supercomputers.

Additional resources for Decidability of Parameterized Verification

Example text

Such results are often described as cutoffs and are typically proved by exhibiting suitable simulation relations between almost all system instances of the parameterized system and a fixed system instance. 3. 1 WELL-STRUCTURED TRANSITION SYSTEMS Following the work by Abdulla et al. [1996] and Finkel and Schnoebelen [2001], well-structured transition systems became a popular framework for reasoning about infinite-state systems and parameterized systems. We begin by recalling some required notions. A binary relation Ä on a set X is a quasi-order if it is reflexive and transitive.

As mentioned before, Milner’s scheduler is supposed to guarantee that all tasks are activated in a round-robin fashion, and that each task can terminate before being activated again (and only terminates after actually being activated). 2, activation of the task is represented by state label A, and termination by state label C . i /: AG Ai ! Ai ! Ci ! 5 (i)). us, standard LTL model checking in rings of size up to 5 can be used to decide the PMCP for the given parameterized specification and implementation of Milner’s scheduler in uni-directional rings.

We can define directional pairwise rendezvous, that may restrict which of its neighbors a process is allowed to synchronize with. 2 Directional Pairwise Rendezvous. ¹Note that  ,  , and  are as before. 34 4. TOKEN-PASSING SYSTEMS To obtain directional rendezvous, we instantiate the definition of directional synchronous transition for card D f1g. v/ ! v/ . v; w/ D d . w/ ! v; w/. w 0 /. As with non-directional pairwise rendezvous, this incorporates the  condition with I D fwg, and the  condition is trivially satisfied since I 0 fwg implies jI 0 j 62 card.

Download PDF sample

Rated 4.43 of 5 – based on 10 votes