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Formal process algebraic modeling, verification, and analysis of an abstract Fuzzy Inference Cloud Service


In cloud computing, services play key roles. Services are well defined and autonomous components. Nowadays, the demand of using Fuzzy inference as a service is increasing in the domain of complex and critical systems. In such systems, along with the development of the software, the cost of detecting and fixing software defects increases. Therefore, using formal methods, which provide clear, concise, and mathematical interpretation of the system, is crucial for the design of these Fuzzy systems. To obtain this goal, we introduce the Fuzzy Inference Cloud Service (FICS) and propose a novel discipline for formal modeling of the FICS. The FICS provides the service of Fuzzy inference to the consumers. We also introduce four novel formal verification tests, which allow strict analysis of certain behavioral disciplines in the FICS as follows: (1) Internal consistency, which analyzes the service in a strict and delicate manner; (2) Deadlock freeness; (3) Divergence freeness; and (4) Goal reach ability. The four tests are discussed and the FICS is verified to ensure that it can pass all these tests.

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Correspondence to Ali Rezaee.



For the benefit of readers, the authors summarize in Table 4 the key symbols of the CSP and their definitions used in this paper.

Table 4 The CSP notation

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Rezaee, A., Rahmani, A.M., Movaghar, A. et al. Formal process algebraic modeling, verification, and analysis of an abstract Fuzzy Inference Cloud Service. J Supercomput 67, 345–383 (2014).

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  • Cloud computing
  • Fuzzy Inference System
  • Formal verification
  • Service oriented systems
  • Process algebra