2010 40th IEEE International Symposium on Multiple-Valued Logic最新文献

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Mapping Binary Functions to a Practical Adiabatic Quantum Computer 将二元函数映射到实用的绝热量子计算机
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.57
David J. Rosenbaum, M. Perkowski
{"title":"Mapping Binary Functions to a Practical Adiabatic Quantum Computer","authors":"David J. Rosenbaum, M. Perkowski","doi":"10.1109/ISMVL.2010.57","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.57","url":null,"abstract":"Efficiently mapping binary functions to adiabatic quantum computers is an important problem because the resulting circuits can be used as oracles in Grover's algorithm. This paper presents a method for mapping binary functions to a two-dimensional grid of qubits with nearest neighbor interactions which is used in a prototype from D-Wave Systems. This is done by writing the binary function in a special form. This allows the binary function to be implemented by converting each gate into a 3-local Hamiltonian. These 3-local Hamiltonians are then converted into two-local Hamiltonians which are mapped to the grid of qubits.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122541530","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}
引用次数: 1
Minimal Unsatisfiability: Models, Algorithms and Applications (Invited Paper) 最小不满意度:模型、算法和应用(特邀论文)
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.11
Joao Marques-Silva
{"title":"Minimal Unsatisfiability: Models, Algorithms and Applications (Invited Paper)","authors":"Joao Marques-Silva","doi":"10.1109/ISMVL.2010.11","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.11","url":null,"abstract":"The task of modeling and reasoning about real-world problems often involves analyzing overconstrained representations, where not all constraints of a problem can be simultaneously satisfied. The need to analyze over-constrained (or unsatisfiable) problems occurs in many settings, including data and knowledge bases, artificial intelligence, applied formal methods, operations research and description logics. In most cases, the problem to solve is related with some form of minimal unsatisfiability, i.e. an irreducible set of constraints that explains unsatisfiability. This paper provides an overview of some of the computational problems related with minimal unsatisfiability in Boolean logic, including the identification of one minimal unsatisfiable sub-formula and the identification of all minimal unsatisfiable sub-formulas. In addition, the paper briefly overviews practical applications of minimal unsatisfiability. Finally, the paper highlights recent work on minimal unsatisfiability in other domains.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125496240","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}
引用次数: 57
Reconstruction of Additive Generators from Partial Derivatives of Continuous Archimedean t-Norms 由连续阿基米德t模的偏导数重建可加性生成器
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.52
M. Navara, Milan Petrík, Peter Sarkoci
{"title":"Reconstruction of Additive Generators from Partial Derivatives of Continuous Archimedean t-Norms","authors":"M. Navara, Milan Petrík, Peter Sarkoci","doi":"10.1109/ISMVL.2010.52","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.52","url":null,"abstract":"The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator is obtained. Application of the result is demonstrated on the problem of convex combinations of strict triangular norms.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"387 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127592139","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}
引用次数: 0
The Euler Characteristic of a Formula in Godel Logic 哥德尔逻辑中一个公式的欧拉特性
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.28
P. Codara, O. D'Antona, V. Marra
{"title":"The Euler Characteristic of a Formula in Godel Logic","authors":"P. Codara, O. D'Antona, V. Marra","doi":"10.1109/ISMVL.2010.28","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.28","url":null,"abstract":"Using the lattice-theoretic version of the Euler characteristic introduced by V. Klee and G.-C. Rota, we define the Euler characteristic of a formula in Gödel logic (over finitely or infinitely many truth-values). We then prove that the information encoded by the Euler characteristic is classical, i.e., coincides with the analogous notion defined over Boolean logic. Building on this, we define k-valued versions of the Euler characteristic of a formula φ, for each integer k ≥ 2, and prove that they indeed provide information about the logical status of φ in Gödel k-valued logic. Specifically, our main result shows that the k-valued Euler characteristic is an invariant that separates k-valued tautologies from non-tautologies.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116368733","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}
引用次数: 5
Finding Attractors in Synchronous Multiple-Valued Networks Using SAT-Based Bounded Model Checking 利用基于sat的有界模型检验寻找同步多值网络中的吸引子
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.35
E. Dubrova, Ming Liu, M. Teslenko
{"title":"Finding Attractors in Synchronous Multiple-Valued Networks Using SAT-Based Bounded Model Checking","authors":"E. Dubrova, Ming Liu, M. Teslenko","doi":"10.1109/ISMVL.2010.35","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.35","url":null,"abstract":"Synchronous multiple-valued networks are a discrete-space discrete-time model of the gene regulatory network of living cells. In this model, cell types are represented by the cycles in the state transition graph of a network, called attractors. When the effect of a disease or a mutation on a cell is studied, attractors have to be re-computed each time a fault is injected in the model. This motivates research on algorithms for finding attractors. Existing decision diagram-based approaches have limited capacity due to the excessive memory requirements of decision diagrams. Simulation-based approaches can be applied to larger networks, however, they are incomplete. We present an algorithm for finding attractors which uses a SAT-based bounded model checking. Our model checking approach exploits the deterministic nature of the network model to reduce runtime. Although the idea of applying model checking to the analysis of gene regulatory networks is not new, to our best knowledge, we are the first to use it for computing all attractors in a model. The efficiency of the presented algorithm is evaluated by analyzing 7 networks models of real biological processes as well as 35.000 randomly generated 4-valued networks. The results show that our approach has a potential to handle an order of magnitude larger models than currently possible.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126119833","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}
引用次数: 11
Synthesis of Small Reversible and Pseudo-Reversible Circuits Using Y-Gates and Inverse Y-Gates 利用y门和反y门合成小型可逆和伪可逆电路
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.53
M. Perkowski, Nouraddin Alhagi, M. Lukac, N. Saxena, S. Blakely
{"title":"Synthesis of Small Reversible and Pseudo-Reversible Circuits Using Y-Gates and Inverse Y-Gates","authors":"M. Perkowski, Nouraddin Alhagi, M. Lukac, N. Saxena, S. Blakely","doi":"10.1109/ISMVL.2010.53","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.53","url":null,"abstract":"This paper presents synthesis of reversible circuits using the Y-gate. The standard reversible circuit has the same number of input and output signals. Such circuits are in general built from reversible gates that similarly have the same number of inputs and outputs. In new technologies, the Y-gate has unequal number of inputs and outputs and so the circuit composed of such gates can have either equal (standard model) or unequal numbers of input and output signals. We introduce the concepts of pseudo-reversible functions. First, a brief overview of reversible logic, Y-gates and Prolog, which form the foundation for this work, is presented. This is followed by the description of an exhaustive search algorithm that generates all circuits from Y gates under certain constraints. We give examples of synthesized circuits.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134113176","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}
引用次数: 5
On a Graded Notion of t-Norm and Dominance 论t-范数和优势的分级概念
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.21
L. Behounek, P. Cintula, Ulrich Bodenhofer, Susanne Saminger-Platz, Peter Sarkoci
{"title":"On a Graded Notion of t-Norm and Dominance","authors":"L. Behounek, P. Cintula, Ulrich Bodenhofer, Susanne Saminger-Platz, Peter Sarkoci","doi":"10.1109/ISMVL.2010.21","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.21","url":null,"abstract":"The paper studies graded properties of MTL_Delta-valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasicopulas. The graded properties studied include monotony, a generalized Lipschitz property, unit and null elements, commutativity, associativity, and idempotence. Finally, a graded notion of dominance is investigated and applied to transmission of graded properties of fuzzy relations. The framework of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132269806","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}
引用次数: 2
Completions in Subvarieties of BL-Algebras bl -代数子集中的完备性
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.24
M. Busaniche, L. Cabrer
{"title":"Completions in Subvarieties of BL-Algebras","authors":"M. Busaniche, L. Cabrer","doi":"10.1109/ISMVL.2010.24","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.24","url":null,"abstract":"In the present paper we extend the results of cite{BuCa} by completely characterizing dual canonical subvarieties of BL-algebras. These are subvarieties of algebras that satisfy the equation $x^k=x^{k+1}$ for some integer $kge 1$. As a corollary we get a full description of subvarieties of BL-algebras that admit completions.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122451426","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}
引用次数: 2
Low Voltage Semi Floating-Gate Binary to Multiple-Value and Multiple-Value to Binary Converters 低压半浮门二值到多值转换器和多值到二值转换器
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.22
Y. Berg
{"title":"Low Voltage Semi Floating-Gate Binary to Multiple-Value and Multiple-Value to Binary Converters","authors":"Y. Berg","doi":"10.1109/ISMVL.2010.22","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.22","url":null,"abstract":"In this paper we present low-voltage multiple-valued gates. The low voltage gates may operate at a supply voltage below 250mV. We utilize the ultra low voltage CMOS logic style [1][2] to implement simple multiple-valued circuits. The radix used is determined by the supply voltage and is limited to 4 for a supply voltage equal to 250mV . Simulated data presented are valid for a ST 90nm CMOS process.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124748304","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}
引用次数: 8
An Evolutionary Algorithm for Optimization of Pseudo Kronecker Expressions 伪Kronecker表达式优化的进化算法
2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI: 10.1109/ISMVL.2010.36
A. Finder, R. Drechsler
{"title":"An Evolutionary Algorithm for Optimization of Pseudo Kronecker Expressions","authors":"A. Finder, R. Drechsler","doi":"10.1109/ISMVL.2010.36","DOIUrl":"https://doi.org/10.1109/ISMVL.2010.36","url":null,"abstract":"Using EXOR gates in logic synthesis often results in smaller circuit realizations. While in AND/OR synthesis the problem definition is clear, in AND/EXOR synthesis several classes of optimization problems have been considered. In this context Pseudo Kronecker Expressions (PSDKROs) are highly relevant, since they allow very compact representations while the optimization can be carried out efficiently. But the size of PSDKROs depends on a chosen order in which the variables are considered. In this paper an Evolutionary Algorithm (EA) is presented for determining a good decomposition order for PSDKROs. Experimental results are given to demonstrate the efficiency of the approach.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"221 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116809800","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}
引用次数: 6
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