human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "inversion complexity of functions of multi valued logic"):
  Abstract: The minimum number of NOT gates in a logic circuit computing a Boolean function is called the inversion complexity of the function. In 1957, A. A. Markov determined the inversion complexity of every Boolean function and proved that $\lceil\log_{2}(d(f)+1)\rceil$ NOT gates are necessary and sufficient to compute any Boolean function $f$ (where $d(f)$ is the maximum number of value changes from greater to smaller over all increasing chains of tuples of variables values). This result is extended to $k$-valued functions computing in this paper. Thereupon one can use monotone functions "for free" like in the Boolean case. It is shown that the minimum sufficient number of non-monotone gates for the realization of the arbitrary $k$-valued logic function $f$ is equal to $\lceil\log_{2}(d(f)+1)\rceil$ if Post negation (function $x+1 \pmod{k}$) is used in NOT nodes and is also equal to $\lceil\log_{k}(d(f)+1)\rceil$, if {\L}ukasiewicz negation (function $k-1-x$) is used in NOT nodes. Similar extension for another classical result of A. A. Markov for the inversion complexity of a system of Boolean functions to $k$-valued logic functions has been obtained.

Includes members:
  Member "some extensions of the inversion complexity of boolean functions":
    also connected through other hyperedges:
      (none)
  Member "a note on the inversion complexity of boolean functions in boolean formulas":
    also connected through other hyperedges:
      (none)

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.DM(Discrete Mathematics)