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Algebraic Properties of Cellular Automata
, 1984
"... This paper details and extends the discussion of global proper72 L a T E X filename: Algebraic.tex (Paper: 1.2 [2]) 12:08 p.m. October 20, 1993 Algebraic Properties of Cellular Automata (1984) Figure 2. Global state transition diagrams for finite cellular automata with size N and periodic boundary c ..."
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Cited by 84 (2 self)
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This paper details and extends the discussion of global proper72 L a T E X filename: Algebraic.tex (Paper: 1.2 [2]) 12:08 p.m. October 20, 1993 Algebraic Properties of Cellular Automata (1984) Figure 2. Global state transition diagrams for finite cellular automata with size N and periodic boundary
Algebraic Properties for Free! ∗
"... Algebraic properties specify some natural properties of programming and specification constructs. This paper provides an overview of techniques to guarantee or generate algebraic properties of language constructs by investigating the syntactic shape of the deduction rules defining their operational ..."
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Cited by 5 (4 self)
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Algebraic properties specify some natural properties of programming and specification constructs. This paper provides an overview of techniques to guarantee or generate algebraic properties of language constructs by investigating the syntactic shape of the deduction rules defining their operational
Algebraic Graph Theory
, 2011
"... Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area is the investiga ..."
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Cited by 892 (13 self)
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Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area
Algebraic laws for nondeterminism and concurrency
 Journal of the ACM
, 1985
"... Abstract. Since a nondeterministic and concurrent program may, in general, communicate repeatedly with its environment, its meaning cannot be presented naturally as an input/output function (as is often done in the denotational approach to semantics). In this paper, an alternative is put forth. Firs ..."
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Cited by 608 (13 self)
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observation congruence class. The paper demonstrates, for a sequence of simple languages expressing finite (terminating) behaviors, that in each case observation congruence can be axiomatized algebraically. Moreover, with the addition of recursion and another simple extension, the algebraic language described
On algebraic properties of bicomplex and hyperbolic
, 2004
"... In this article we present, in a unified manner, a variety of algebraic properties of both bicomplex numbers and hyperbolic numbers. In particular, using three types of conjugations, we describe in detail some specific moduli with complex and hyperbolic ranges. We also specify for hyperbolic numbe ..."
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Cited by 21 (12 self)
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In this article we present, in a unified manner, a variety of algebraic properties of both bicomplex numbers and hyperbolic numbers. In particular, using three types of conjugations, we describe in detail some specific moduli with complex and hyperbolic ranges. We also specify for hyper
Algebraic Properties of Cryptosystem PGM
 Journal of Cryptology
, 1992
"... In the late 1970's, S. Magliveras invented a privatekey cryptographic system called Permutation Group Mappings (PGM). PGM is based on the prolific existence of certain kinds of factorization sets, called logarithmic signatures, for finite permutation groups. PGM is an endomorphic system with m ..."
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Cited by 20 (5 self)
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with message space Z jGj , for a given finite permutation group G. In this paper we prove several algebraic properties of PGM. We show that the set of PGM transformations TG is not closed under functional composition and hence not a group. This set is 2transitive on Z jGj if the underlying group G
BERNSTEIN SETS WITH ALGEBRAIC PROPERTIES
"... Abstract. We construct Bernstein sets in R having some additional algebraic properties. In particular, solving a problem of Kraszewski, RaÃlowski, Szczepaniak and Żeberski, we construct a Bernstein set which is a < ccovering and improve some other results of RaÃlowski, Szczepaniak and Żebersk ..."
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Cited by 2 (0 self)
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Abstract. We construct Bernstein sets in R having some additional algebraic properties. In particular, solving a problem of Kraszewski, RaÃlowski, Szczepaniak and Żeberski, we construct a Bernstein set which is a < ccovering and improve some other results of RaÃlowski, Szczepaniak
Some ALgebraic Properties . . .
, 1999
"... We examine a bilinear form associated with a real arrangement of hyperplanes introduced in [Schechtman and Varchenko 1991]. Our main objective is to show that the linear algebraic properties of this bilinear form are related to the combinatorics and topology of the hyperplane arrangement. We will su ..."
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We examine a bilinear form associated with a real arrangement of hyperplanes introduced in [Schechtman and Varchenko 1991]. Our main objective is to show that the linear algebraic properties of this bilinear form are related to the combinatorics and topology of the hyperplane arrangement. We
Algebraic Properties of Noncommensurate Systems
 University of Florida
, 1999
"... Noncommensurate systems are those in which either the input vector or the output vector contains elements with different physical units. Such systems are encountered in situations where different physical quantities must be combined to achieve a given goal. An example is the control of robot manipul ..."
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Cited by 4 (2 self)
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several algebraic properties and requirements on the physical units involved in the control methods for such systems.
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