We focus on possible generalizations of Boolean elements of a general BL–algebra L; we prove that an element x ∈ L is Boolean iff x ∨ x ∗ = 1. L is called semi–Boolean if, for all x ∈ L, x ∗ is Boolean. We prove that an MV–algebra...
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In this paper, we show that the formulæ of Boolean BI cannot distinguish between some of the different notions of separation algebra found in the literature: partial commutative monoids, either cancellative or not, with a single unit or not, all define the same notion of validity. We ...
[BHMS]R.Brayton,G.Hachtel, C.McMullen,and A.Sangiovanni-Vincentelli.Logic Minimization Algorithms for VLSI Synthesis.Kluwer Academic Publishers,1984.[BM]R.Brayton and C.McMullen.The decomposition and factoriza-tion of Boolean expressions.In IEEE International Symposium on Circuits and Systems,...
271-280. http://eprint.iacr.org/2007/290.pdfSarkar S, Maitra S. Construction of Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity on Odd Number of Variables[C]// Applied Algebra, Algebraic Algorithms and Error-Correcting Codes ( LNCS 4851). Berlin: Springer-Verlag, 2007: ...
Associative connectives, such as various families of t-norms and t-conorms [10] which are widely used in fuzzy logics are the special instances of PI-algebra groupoid connectives. References to some applications of Pi-logic algebras conclude this entry. Although the primitives of PI-algebras ...
Relations and Kleene Algebra in Computer Science (RelMiCS 2008) Yasuo Kawahara Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4988)) Included in the following conference series: International Conference on Relational Methods in Computer Science 415 Accesses Abstract ...
With a computer algebra system, one can check that the sets \{{\mathcal {L}}\left( x,F(x)\right) :x \in {\mathbb {F}}_2^6 \} and \{(x,F'(x)):x \in {\mathbb {F}}_2^6 \} are equal, thus {\mathcal {L}}\left( {\mathcal {G}}_{F}\right) ={\mathcal {G...
theorem 3.2 can be easily extended to more general von neumann algebras, which will be discussed in theorem 4.3 . the generalization of theorem 3.6 is also possible but requires additional assumption which we will not discuss in the general von neumann algebra setting. 3.3 a kkl theorem for qua...
Martin Huber Part of the book series:Lecture Notes in Computer Science((LNCS,volume 1169)) 140Accesses 3Citations Abstract In this paper we present theTemporal Language of Transitions(TLT) solution to the RPC Memory Specification Problem posed by Lamport for a Dagstuhl seminar. TLT is a framewor...