Unifying Equivalences for Higher Dimensional Automata

نویسندگان

  • Elena S. Oshevskaya
  • Irina Virbitskaite
  • Eike Best
چکیده

The intention of the paper is to show how several categorical (open morphisms, path morphisms and coalgebraic morphisms based) approaches to an abstract characterization of bisimulation relate to each other and to behavioral bisimulations, in the setting of higher dimensional automata. Such a relating makes it possible to develop a metatheory designed for unified definition and study of equivalences in true concurrency semantics.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Homology of Higher Dimensional Automata

Higher dimensional automata can model concurrent computations. The topological structure of the higher dimensional automata determines certain properties of the concurrent computation. We introduce bi-complexes as an algebraic tool for describing these automata and develop a simple homology theory for higher dimensional automata. We then show how the homology of automata has applications in the...

متن کامل

Matching Equivalences on Higher Dimensional Automata Models∗

The intention of the paper is to show the applicability of the general categorical framework of open maps to the setting of two models – higher dimensional automata (HDA) and timed higher dimensional automata (THDA) – in order to transfer general concepts of equivalences to the models. First, we define categories of the models under consideration, whose morphisms are to be thought of as simulat...

متن کامل

Open Maps Bisimulations for Higher Dimensional Automata Models

The intention of the paper is to show the applicability of the general categorical framework of open maps to the setting of two models – higher dimensional automata (HDA) and timed higher dimensional automata (THDA) – in order to transfer general concepts of equivalences to the models. First, we define categories of the models under consideration, whose morphisms are to be thought of as simulat...

متن کامل

A Unifying Approach to Decide Relations for Timed Automata and their Game Characterization

In this paper we present a unifying approach for deciding various bisimulations, simulation equivalences and preorders between two timed automata states. We propose a zone based method for deciding these relations in which we eliminate an explicit product construction of the region graphs or the zone graphs as in the classical methods. Our method is also generic and can be used to decide severa...

متن کامل

ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Fundam. Inform.

دوره 119  شماره 

صفحات  -

تاریخ انتشار 2012