期刊
INFORMATION SCIENCES
卷 377, 期 -, 页码 51-74出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2016.10.030
关键词
Model checking; Multi-valued transition system; Invariant; Safety; Liveness; Lattice-valued finite automaton
资金
- National Science Foundation of China [11271237, 61228305, 11671244]
- Higher School Doctoral Subject Foundation of Ministry of Education of China [200807180005]
In this paper, we study the model-checking problem of linear-time properties in multi valued systems. Safety properties, invariant properties, liveness properties, persistence and dual-persistence properties in multi-valued logic systems are introduced. Some algorithms related to the above multi-valued linear-time properties are discussed. The verification of multi-valued regular safety properties and multi-valued omega-regular properties using lattice-valued automata are thoroughly studied. Since the law of non-contradiction (i.e., a boolean AND -a = 0) and the law of excluded-middle (i.e., a boolean OR -a =1) do not hold in multi-valued logic, the linear-time properties introduced in this paper have new forms compared to those in classical logic. Compared to those classical model-checking methods, our methods to multi-valued model checking are accordingly more direct: We give an algorithm for showing TS satisfies P for a model TS and a linear-time property P, which proceeds by directly checking the inclusion Traces(TS) subset of P instead of Traces(TS) boolean AND -P = phi. A new form of multi valued model checking with membership degree is also introduced. In particular, we show that multi-valued model checking can be reduced to classical model checking. The related verification algorithms are also presented. Some illustrative examples and a case study are also provided. (C) 2016 Elsevier Inc. All rights reserved.
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