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  • 1
    Electronic Resource
    Electronic Resource
    On generating large classes of Sheffer functions (1978)
    Springer
    Aequationes mathematicae 17 (1978), S. 164-181 
    Details
    ISSN: 1420-8903
    Keywords: Primary 08A25 ; Secondary 02C05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let A be a finite set,n 〉 1 andD $$ \subseteq $$ A n . We say thatf:D → A is a partial Sheffer function of size |D| if eachf*: A n → A agreeing withf onD is Sheffer (or complete that is 〈A; f〉 primal), i.e. iff* generates allg:A m → A (m = 1, 2, ⋯) via repeated composition. The least size of a partial Sheffer function is shown to be |A| + 2 and all partial Sheffer functions of this size are exhibited. This shows how surprisingly little information onf is needed to ensure thatf is Sheffer and, at the same time, gives a description of large classes of Sheffer functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01818558
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  • 2
    Electronic Resource
    Electronic Resource
    Completeness for Uniformly Delayed Circuits, A Survey (1998)
    Springer
    Acta applicandae mathematicae 52 (1998), S. 49-61 
    Details
    ISSN: 1572-9036
    Keywords: delayed operators ; functional completeness ; maximal incomplete classes ; uniform completeness ; uniform composition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We survey algebraic results on combinatorial circuits constructed from many-valued uniformly delayed gates. These involve the composition of uniformly delayed operations, the lattice of uniform clones, the corresponding relational theory, uniform completeness and the search for an effective completeness criterion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1005946705819
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