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A Cognitive Approach for Optimal Minimiation of State Transitions in Nondeterministic Finite Automata

机译:非确定性有限自动机中状态转移最优最小化的认知方法

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Power set construction and its variants to eliminate "dead", "unreachable" states have been the prevalent methods of minimization from Non-Deterministic Finite Automata to Deterministic Finite Automata. The drawbacks for these were the lack of adaptive improvements into the minimization process. The adaptation by means of cognitive models - perception, reasoning and decision-making - is being proposed as a better solution while handling real life problems involving decision making on transitions of states. The non-determinism added by the ambiguity in parallel transition options are resolved by applying cognitive processes. The ACT-R architecture is found to be convenient for modeling systems whose functionality can be deconstructed into a set of states, with the transition functions being modeled as production rules. The resultant model reduces the number of states from 2k to manageable values.
机译:从非确定性有限自动机到确定性有限自动机,功率组构造及其变型形式可以消除“死”,“不可达”状态,这是最小化的流行方法。这些的缺点是缺乏对最小化过程的适应性改进。在处理涉及状态转换决策的现实生活问题时,人们提出了通过认知模型(感知,推理和决策)进行适应的一种更好的解决方案。通过应用认知过程可以解决由并行转换选项中的歧义所带来的不确定性。发现ACT-R体系结构对建模系统非常方便,该系统的功能可以解构为一组状态,而转换功能则作为生产规则建模。结果模型将状态数从2k减少到可管理的值。

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