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  • 1
    ISSN: 1436-5081
    Keywords: Primary 11B25 ; Secondary 11J86, 11N25 ; Greatest prime factor ; divisors, arithmetic progression ; Erdős Woods ; abc conjecture ; linear forms in logarithms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we consider an analogue of the problem of Erdős and Woods for arithmetic progressions. A positive answer follows from theabc conjecture. Partial results are obtained unconditionally.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Formal methods in system design 10 (1997), S. 7-46 
    ISSN: 1572-8102
    Keywords: multiway decision graphs ; binary decision diagrams ; automated hardware verification ; state machine verification ; reachability analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Traditional ROBDD-based methods of automated verification suffer from the drawback that they require a binary representation of the circuit. To overcome this limitation we propose a broader class of decision graphs, called Multiway Decision Graphs (MDGs), of which ROBDDs are a special case. With MDGs, a data value is represented by a single variable of abstract type, rather than by 32 or 64 boolean variables, and a data operation is represented by an uninterpreted function symbol. MDGs are thus much more compact than ROBDDs, and this greatly increases the range of circuits that can be verified. We give algorithms for MDG manipulation, and for implicit state enumeration using MDGs. We have implemented an MDG package and provide experimental results.
    Type of Medium: Electronic Resource
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