A Formal Model of QoS-Aware Web Service Orchestration Engine

QoS-aware applications can satisfy not only the functional requirements of the customers, but also the QoS requirements. QoS-aware Web Service orchestration translates the QoS requirements of the customers into those of its component Web Services. In a system viewpoint, we discuss issues on QoS-aware Web Service orchestration and design a typical QoS-aware Web Service orchestration engine called QoS-WSOE. More importantly, we establish a formal model of QoS-WSOE based on actor systems theory. Within the formal model, we use a three-layered pyramidal structure to capture the requirements of the customers with a concept named QoS-Aware WSO Service, characteristics of QoS-WSOE with a concept named QoS-Aware WSO System, and structures and behaviors of QoS-WSOE with a concept named QoS-Aware WSO Behavior. Conclusions showing that a system with QoS-Aware WSO Behavior is a QoS-Aware WSO System and further can provide QoS-Aware WSO Service are drawn

Reversible Truly Concurrent Process Algebra

We design a reversible version of truly concurrent process algebra CTC which is called RCTC. It has good properties modulo several kinds of strongly forward-reverse truly concurrent bisimulations and weakly forward-reverse truly concurrent bisimulations. These properties include monoid laws, static laws, new expansion law for strongly forward-reverse truly concurrent bisimulations, \tau laws for weakly forward-reverse truly concurrent bisimulations, and congruences for strongly and weakly forward-reverse truly concurrent bisimulations.Comment: 40 pages. arXiv admin note: substantial text overlap with arXiv:1410.5131, arXiv:1611.09035, arXiv:1703.0015

The Equivariant Noncommutative Atiyah-Patodi-Singer Index Theorem

In [Wu], the noncommutative Atiyah-Patodi-Singer index theorem was proved. In this paper, we extend this theorem to the equivariant case.Comment: to appear in K-Theor

The spectral action for sub-Dirac operators

In this paper, for foliations with spin leaves, we compute the spectral action for sub-Dirac operators

A note on equivariant eta forms

In this note, we prove the regularity of eta forms by the Clifford asymptotics. Then we generalize this result to the equivariant case

Weakly True Concurrency and Its Logic

We firstly find the existence of silent event $\tau$ in true concurrency (named weakly true concurrency) by defining weakly true concurrent behaviors and weakly true concurrent logics. Based on Paolo Baldan and Silvia Crafa's comprehensive work on (strongly) true concurrency, we find the correspondence between weakly true concurrent equivalences and weakly true concurrent logics.Comment: arXiv admin note: text overlap with arXiv:1110.4094 by other author

An Algebraic Approach for Approximity

Comparison to traditionally accurate computing, approximate computing focuses on the rapidity of the satisfactory solution, but not the unnecessary accuracy of the solution. Approximate bisimularity is the approximate one corresponding to traditionally accurate bisimilarity. Based on the work of distances between basic processes, we propose an algebraic approach for distances between processes to support a whole process calculus CCS, which contains prefix, sum, composition, restriction, relabeling and recursion

Truly Concurrent Process Algebra to Unifying Quantum and Classical Computing

Based on our previous work on truly concurrent process algebra, we use it to unify quantum and classical computing for open and closed quantum systems. This resulted algebra can be used to verify the behaviors of quantum and classical computing mixed systems, with a flavor of true concurrency

A Process Algebra for Games

Using formal tools in computer science to describe games is an interesting problem. We give games, exactly two person games, an axiomatic foundation based on the process algebra ACP (Algebra of Communicating Process). A fresh operator called opponent's alternative composition operator (OA) is introduced into ACP to describe game trees and game strategies, called GameACP. And its sound and complete axiomatic system is naturally established. To model the outcomes of games (the co-action of the player and the opponent), correspondingly in GameACP, the execution of GameACP processes, another operator called playing operator (PO) is extended into GameACP. We also establish a sound and complete axiomatic system for PO. To overcome the new occurred non-determinacy introduced by GameACP, we extend truly concurrent process algebra APTC for games called GameAPTC. Finally, we give the correctness theorem between the outcomes of games and the deductions of GameACP and GameAPTC processes.Comment: 24 pages, 16 figure

Multiply twisted products

In this paper, we compute the index form of the multiply twisted products. We study the Killing vector fields on the multiply twisted product manifolds and determine the Killing vector fields in some cases. We compute the curvature of the multiply twisted products with a semi-symmetric metric connection and show that the mixed Ricci-flat multiply twisted products with a semi-symmetric metric connection can be expressed as multiply warped products. We also study the Einstein multiply warped products with a semi-symmetric metric connection and the multiply warped products with a semi-symmetric metric connection with constant scalar curvature, we apply our results to generalized Robertson-Walker spacetimes with a semi-symmetric metric connection and generalized Kasner spacetimes with a semi-symmetric metric connection and find some new examples of Einstein affine manifolds and affine manifolds with constant scalar curvature. We also consider the multiply twisted product Finsler manifolds and we get some interesting properties of these spaces.Comment: 45page