{"title":"On Maximal Hyperclones on {0, 1} A New Approach","authors":"Hajime Machida, J. Pantović","doi":"10.1109/ISMVL.2008.44","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.44","url":null,"abstract":"The set of clones of operations on {0,1} forms a countable lattice which was classified by Post. The cardinality of the lattice of hyperclones on {0,1} was proved by Machida to be of the continuum. The hypercore of a clone C is zeta- closure of the set of hyperoperations whose extended operations belong to C. For every clone C which is intersection of the clone B5 and another submaximal clone of B2, we investigate hypercores. The interval of hyperclones on {0,1} generated by unary hyperoperations is also completely determined.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123788678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Classification of Fastest Quaternary Linearly Independent Arithmetic Transforms","authors":"B. Falkowski, Cheng Fu","doi":"10.1109/ISMVL.2008.10","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.10","url":null,"abstract":"Classification of novel fastest quaternary linearly independent transforms has been presented. They are recursively defined and have consistent formulas relating their forward and inverse transform matrices. Their transform matrices' properties and calculation example have been shown. The computational costs of the calculation for presented transforms are also discussed. The experimental results are shown and compared with the well known quaternary arithmetic transform.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134349124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Y. Feinstein, Mitchell A. Thornton, D. M. Miller
{"title":"On the Data Structure Metrics of Quantum Multiple-Valued Decision Diagrams","authors":"D. Y. Feinstein, Mitchell A. Thornton, D. M. Miller","doi":"10.1109/ISMVL.2008.28","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.28","url":null,"abstract":"This paper describes new metrics for the data structure referred to as quantum multiple-valued decision diagrams (QMDD) which are used to represent the matrices describing reversible and quantum gates and circuits. These metrics provide information about QMDD that allows for improvement of minimization techniques. We explore metrics related to the frequency of edges with non-zero weight for the entire QMDD data structure and their histograms with respect to each variable. We observe some unique regularity particular to the methodology of the QMDD. We develop new heuristics for QMDD dynamic variable ordering (DVO) that are guided by the proposed metrics. Experimental results show the effectiveness of the proposed techniques.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123842342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Superposed Quantum State Initialization Using Disjoint Prime Implicants (SQUID)","authors":"David J. Rosenbaum, M. Perkowski","doi":"10.1109/ISMVL.2008.24","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.24","url":null,"abstract":"The problem of initializing a quantum superposition is important for Grover's algorithm, quantum neural networks and other applications. The purpose of the algorithm presented here is to generate a quantum array that initializes a desired quantum superposition on n qubits. The SQUID algorithm almost always creates quantum arrays that perform better than those created by existing algorithms such as the Ventura-Martinez and Long-Sun algorithms. The best case performance for the quantum arrays created by the SQUID algorithm is O(n) when the superposition contains all possible states which is an exponential improvement over all existing algorithms. Also, the worst case performance of the quantum array created by the SQUID algorithm is never worse than the performance of existing algorithms. The SQUID algorithm represents a vast improvement over previous quantum superposition initialization algorithms and allows quantum superpositions to be initialized much more efficiently than with other algorithms.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127694289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Time-Domain Pre-Emphasis Techniques for Equalization of Multiple-Valued Data","authors":"Y. Yuminaka, Yasunori Takahashi","doi":"10.1109/ISMVL.2008.40","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.40","url":null,"abstract":"This paper presents a new equalization technique based on a pulse-width modulation (PWM) pre-emphasis method which utilizes time-domain information processing to increase the data rate for a given bandwidth of VLSI interconnection. The pre-emphasis method does not change the pulse amplitude as for conventional FIR pre-emphasis, but instead exploits timing resolution. This fits well with recent CMOS technology trends toward higher switching speeds and lower voltage headroom. We discuss new time-domain pre-emphasis techniques especially for multiple-valued data transmission in order to achieve high-speed data transmission in VLSI systems.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"204 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123518468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"MDD with Added Null-Value and All-Value Edges","authors":"C. Files, M. Nodine","doi":"10.1109/ISMVL.2008.20","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.20","url":null,"abstract":"This paper presents an MDD that has additional null-value and all-value edges. The MDD is based on a multi-valued algebra that augments multi-valued variables to allow a null- output value. A null-output value is a value that cannot be computed but represents the lack of any valid value for a given input combination (akin to an output don't care, but its value cannot be changed). A side effect of the null-value edge is that the MDD is capable of representing 1-valued variables. Plus, the null-value is used in representing mutexes (a concept that defines an input don't care condition). While there have been publications that have created BDDs with a third (all-value) edge, to the authors' knowledge, this is the first time an all-value edge has been added to an MDD. This MDD data structure is the foundation for Intrinsity's multi-valued logic synthesis algorithms.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132966019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Soft Computing Methods for Prediction of Replication Origins in Caudoviruses","authors":"R. Cruz-Cano, I. Aizenberg","doi":"10.1109/ISMVL.2008.29","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.29","url":null,"abstract":"Prediction methods that can be reduced to learning of partially defined multiple-valued functions have become very popular. In this paper, we consider a prediction problem related to DNA replication, which is essential for the reproduction of many viruses. Procedures to find replication origins are important for controlling such viruses. This paper focuses on the order of caudovirales and proposes a new prediction approach based on least-squares support vector machine (LS-SVM) and a multilayer feedforward neural network with multi-valued neurons (MLMVN). The results suggest that this method will be a useful tool for the prediction of viral replication origins.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134579996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuki Watanabe, N. Homma, K. Degawa, T. Aoki, T. Higuchi
{"title":"High-Level Design of Multiple-Valued Arithmetic Circuits Based on Arithmetic Description Language","authors":"Yuki Watanabe, N. Homma, K. Degawa, T. Aoki, T. Higuchi","doi":"10.1109/ISMVL.2008.39","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.39","url":null,"abstract":"This paper proposes a high-level design method of multiple-valued arithmetic circuits. The proposed method uses a cell-based approach with a dedicated hardware description language called ARITH. By using ARITH, we can describe and verify any binary/multiple-valued arithmetic circuits in a formal manner. The ARITH description can be transformed into a technology-dependent netlist in binary/multiple-valued fused logic. The process of transforming the netlist into a physical layout pattern is automatically performed by an off-the-shelfplace-and-route tool. In this paper, we present a specific cell library containing a multiple-valued signed-digit adder and its related circuits with a 0.35mum CMOS technology, and demonstrate that the proposed method can synthesize a 32times 32-bit parallel multiplier in multiple-valued current-mode logic from an ARITH description.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133165135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Default Reasoning with Imperfect Information in Multivalued Logics","authors":"D. Stamate","doi":"10.1109/ISMVL.2008.45","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.45","url":null,"abstract":"The work provides an approach to default reasoning with imperfect information using extended logic programs in multivalued logics given by bilattices. The paper introduces the default semantics of an extended program using a set of operators with interesting properties elegantly expressed in terms of lattice theory, including the ultimate evaluation based consequence operator and the default operator corresponding to two types of inference in presence of imperfect information. We provide a computational approach for the default semantics and relate our framework to relevant work.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125175074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Complexity of Classification Functions","authors":"Tsutomu Sasao","doi":"10.1109/ISMVL.2008.18","DOIUrl":"https://doi.org/10.1109/ISMVL.2008.18","url":null,"abstract":"A classification function is a multiple-valued input function specified by a set of rules, where each rule is a conjunction of range functions. The function is useful for packet classification for internet, network intrusion detection system, etc. This paper considers the complexity of range functions and classification functions represented by sum-of-products expressions of binary variables. It gives tighter upper bounds on the number of products for range functions.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130963638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}