Symbolic Verification of Temporal Fuzzy Logic Properties on Fuzzy Program Graph
Subject Areas : electrical and computer engineeringG. Sotudeh 1 * , A. Movaghar 2
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Keywords: Verification Kripke model fuzzy temporal logic uzzy program graph symbolic verification,
Abstract :
We may investigate the correctness of dynamic fuzzy models by a combination of Modal Temporal Logics and Fuzzy Logic. So far Fuzzy-extended Kripke structure (FzKripke) and Fuzzy-extended Program Graph (FzPG) are introduced as two timed Fuzzy logic models. Meanwhile, a Fuzzy-extended Temporal Logic (FzCTL) is introduced. Although no verification technique is devised for verifying FzCTL properties of timed Fuzzy logic models, its applications in verification of Fuzzy Logic Circuits (i.e., Fuzzy Flip-Flops) are studied and elaborated. In this paper we introduce a symbolic approach to tackle the state space explosion problem in timed Fuzzy logic models with which models are simultaneously compressed and processed in the most compact representation possible yet. The applicability of this approach is also demonstrated through experiments on a case study concerning dynamic hazards in a Fuzzy D-Flip Flop. Performance measures like runtime and memory consumptions are also provided for different scenarios.
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