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 "on davis putnam reductions for minimally unsatisfiable clause sets"):
  Abstract: DP-reduction $F \rightsquigarrow DP_{v}(F)$, applied to a clause-set F and a variable v, replaces all clauses containing v by their resolvents (on v). A basic case, where the number of clauses is decreased (i.e., c(DPv(F))<c(F)), is singular DP-reduction (sDP-reduction), where v must occur in one polarity only once. For minimally unsatisfiable $F \in \mathcal{M\hspace{0.8pt}U}$, sDP-reduction produces another $F' := DP_{v}(F) \in \mathcal{M\hspace{0.8pt}U}$ with the same deficiency, that is, δ(F′)=δ(F); recall δ(F)=c(F)−n(F), using n(F) for the number of variables. Let sDP(F) for $F \in \mathcal{M\hspace{0.8pt}U}$ be the set of results of complete sDP-reduction for F; so F′∈sDP(F) fulfil $F' \in \mathcal{M\hspace{0.8pt}U}$, are nonsingular (every literal occurs at least twice), and we have δ(F′)=δ(F). We show that for $F \in \mathcal{M\hspace{0.8pt}U}$ all complete reductions by sDP must have the same length, establishing the singularity index of F. In other words, for F′, F′′∈sDP(F) we have n(F′)=n(F′′). In general the elements of sDP(F) are not even (pairwise) isomorphic. Using the fundamental characterisation by Kleine Buning, we obtain as application of the singularity index, that we have confluence modulo isomorphism (all elements of sDP(F) are pairwise isomorphic) in case δ(F)=2. In general we prove that we have confluence (i.e., |sDP(F)=1) for saturated F (i.e., $F \in \mathcal{S}\mathcal{M\hspace{0.8pt}U}$). More generally, we show confluence modulo isomorphism for eventually saturatedF, that is, where we have $sDP(F) \subseteq \mathcal{S}\mathcal{M\hspace{0.8pt}U} $, yielding another proof for confluence modulo isomorphism in case of δ(F)=2.

Includes members:
  Member "constraint satisfaction problems in clausal form":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on variables with few occurrences in conjunctive normal forms")
  Member "on variables with few occurrences in conjunctive normal forms":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "minimal unsatisfiability and deficiency recent developments")

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)