共查询到19条相似文献,搜索用时 62 毫秒
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本文基于中介逻辑建立了一种中介时序逻辑系统MTL(Medium Temporal Logic),文中着重讨论了MTL的形式系统并给出了它的语义解释,证明了MTL系统的可靠性。最后对MTL系统和经典时序命题逻辑系统进行了对比,指出经典时序命题逻辑系统是MTL的子系统。 相似文献
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证明了系统(£)*n中的可满足性定理,紧致性定理和可判定性定理,完善了系统(£)*n的理论体系,并将这些性质应用到计量逻辑学中,给出了∑Γ-真度和条件真度存在的充要条件. 相似文献
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将2-值命题逻辑的语义理论推广到了有限布尔代数,得到了2n-布尔值命题逻辑.同时本文给出了2n-布尔值命题逻辑应用的一些例子. 相似文献
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《数学通报》文[1]提到“虚假理由”是事实错误,而不是逻辑错误。文中指出所谓逻辑错误就是不符合逻辑学的规則,据此说法,那“虚假理由”是符合逻辑学的规則,只是不符合客观事实。笔者认为对此值得商榷,“虚假理由”究竟是否为逻辑错误,本文略述浅见。一、什么是逻辑错误我们所论及的逻辑错误,当然与逻辑学分不开的。这里所谓的逻辑学应当指的是通常所说的 相似文献
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本文基于中介命题逻辑的扩张系统 MP*之命题联结词含量的完全性结果 ,进一步证明了 Lukasiwicz三值逻辑系统 L*3 、Post三值逻辑系统 P*3 、Slupecki三值逻辑系统 S*3 和 Woodruff三值逻辑系统 W*3 等的命题联结词的含量也是完全的 .从而着眼于形式系统 ,可知 MP*、L*3 、P*3 、S*3 、W*3 的语言表达的能力也都是等效的 .又若这些三值系统都是可靠的完备的 ,则可进一步证明这些三值系统立足于形式推理也都是互相等价的 . 相似文献
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二值命题逻辑中逻辑方程τ(A→X)=m/2n解集的结构 总被引:1,自引:0,他引:1
二值命题逻辑中τ(A→X)=α型逻辑方程在有限理论结论集的结构以及近似推理研究中有着重要应用.给出了二值命题逻辑中公式是逻辑方程τ(A→X)=m/2n解的几个充要条件,得到了该逻辑方程的解集分别按真度相等关系和逻辑等价关系的分类定理,并给出了逻辑方程解集中公式的伪距离上确界的数值表示,为进一步研究此类逻辑方程的解集提供... 相似文献
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模糊推理三I算法的逻辑基础 总被引:14,自引:9,他引:5
在模糊推理理论中,近期问世的三I推理方法以逻辑蕴涵运算取代传统的合成运算,从根本上改进了传统的合成推理规则(即CRI方法)。本文基于模糊命题逻辑的形式演绎系统L^*和模糊谓词逻辑的一阶系统K^*,构建了一个完备的多型变元一阶系统Kms^*,并且将三I算法完全纳入了模糊逻辑的框架之中,从而为模糊推理奠定了严格的逻辑基础。 相似文献
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Given two bounded linear operators F,G on a Banach space X such that G2F=GF2=0, we derive an explicit expression for the Drazin inverse of F+G. For this purpose, firstly, we obtain a formula for the resolvent of an auxiliary operator matrix in the form . From the provided representation of D(F+G) several special cases are considered. In particular, we recover the case GF=0 studied by Hartwig et al. [R.E. Hartwig, G. Wang, Y. Wei, Some additive results on Drazin inverse, Linear Algebra Appl. 322 (2001) 207-217] for matrices and by Djordjevi? and Wei [D.S. Djordjevi?, Y. Wei, Additive results for the generalized Drazin inverse, J. Aust. Math. Soc. 73 (1) (2002) 115-126] for operators. Finally, we apply our results to obtain representations for the Drazin inverse of operator matrices in the form which are extensions of some cases given in the literature. 相似文献
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讨论泛逻辑的零级泛运算模型的基本代数性质。证明T(x,y,^)是阿基米德型三角范数;泛与运算模型与泛蕴涵运算模型形成一个伴随对;当h∈(0,0.75)时,有界格([0,1],∨,∧,,*,→0,1)做成一个MV-代数;当h∈(0.75,1)时,有界格([0,1],∨,∧,*,→0,1)做成一个乘积代数。进一步,给出了零级泛与运算模型与泛或运算模型的加性生成元与乘性生成元。 相似文献
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George Voutsadakis 《Mathematical Logic Quarterly》2013,59(3):177-200
Various aspects of the work of Blok and Rebagliato on the algebraic semantics for deductive systems are studied in the context of logics formalized as π‐institutions. Three kinds of semantics are surveyed: institution, matrix (system) and algebraic (system) semantics, corresponding, respectively, to the generalized matrix, matrix and algebraic semantics of the theory of sentential logics. After some connections between matrix and algebraic semantics are revealed, it is shown that every (finitary) N‐rule based extension of an N‐rule based π‐institution possessing an algebraic semantics also possesses an algebraic semantics. This result abstracts one of the main theorems of Blok and Rebagliato. An attempt at a Blok‐Rebagliato‐style characterization of those π‐institutions with a mono‐unary category of natural transformations on their sentence functors having an algebraic semantics is also made. Finally, a necessary condition for a π‐institution to possess an algebraic semantics is provided. 相似文献
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We design an algorithm, called the fluid synchronization algorithm (FSA), for the job shop scheduling problem with the objective
of minimizing the makespan. We round an optimal solution to a fluid relaxation, in which we replace discrete jobs with the
flow of a continuous fluid, and use ideas from fair queueing in the area of communication networks in order to ensure that
the discrete schedule is close to the one implied by the fluid relaxation. FSA produces a schedule with makespan at most C
max+(I+2)P
max
J
max, where C
max is the lower bound provided by the fluid relaxation, I is the number of distinct job types, J
max is the maximum number of stages of any job-type, and P
max is the maximum processing time over all tasks. We report computational results based on all benchmark instances chosen from
the OR library when N jobs from each job-type are present. The results suggest that FSA has a relative error of about 10% for N=10, 1% for N=100, 0.01% for N=1000. In comparison to eight different dispatch rules that have similar running times as FSA, FSA clearly dominates them.
In comparison to the shifting bottleneck heuristic whose running time and memory requirements are several orders of magnitude
larger than FSA, the shifting bottleneck heuristic produces better schedules for small N (up to 10), but fails to provide a solution for larger values of N.
Received: September 1999 / Accepted: September 2001?Published online March 14, 2002 相似文献
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为了更好地理解和应用样本分位数的极限分布,利用Slutsky定理,推导了样本分位数的极限分布. 相似文献