{"title":"Fault covers in reconfigurable PLAs","authors":"N. Hasan, C. Liu","doi":"10.1109/FTCS.1990.89352","DOIUrl":null,"url":null,"abstract":"Three kinds of faults are considered: stuck-at faults, bridging faults, and crosspoint faults. A new way of repairing bridging faults is introduced. It is shown that the problem of finding a minimum cover is NP-complete but that a special case of this problem can be formulated as a 2-SAT problem, which can be solved in polynomial time. The problem of finding a feasible cover for RPLAs (reconfigurable programmable logic arrays) with bridging faults alone is shown to be NP-complete. A necessary and sufficient condition on the number of spares for the existence of a feasible cover and an algorithm for finding a minimum feasible cover are presented.<<ETX>>","PeriodicalId":174189,"journal":{"name":"[1990] Digest of Papers. Fault-Tolerant Computing: 20th International Symposium","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1990] Digest of Papers. Fault-Tolerant Computing: 20th International Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FTCS.1990.89352","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
Three kinds of faults are considered: stuck-at faults, bridging faults, and crosspoint faults. A new way of repairing bridging faults is introduced. It is shown that the problem of finding a minimum cover is NP-complete but that a special case of this problem can be formulated as a 2-SAT problem, which can be solved in polynomial time. The problem of finding a feasible cover for RPLAs (reconfigurable programmable logic arrays) with bridging faults alone is shown to be NP-complete. A necessary and sufficient condition on the number of spares for the existence of a feasible cover and an algorithm for finding a minimum feasible cover are presented.<>