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 "complete algorithms for algebraic strongest postconditions and weakest preconditions in polynomial ode s"):
  Abstract: A system of polynomial ordinary differential equations (ode's) is specified via a vector of multivariate polynomials, or vector field, F. A safety assertion psi->[F]phi means that the system's trajectory will lie in a subset phi (the postcondition) of the state-space, whenever the initial state belongs to a subset psi (the precondition). We consider the case when phi and psi are algebraic varieties, that is, zero sets of polynomials. In particular, polynomials specifying the postcondition can be seen as conservation laws implied by psi. Checking the validity of algebraic safety assertions is a fundamental problem in, for instance, hybrid systems. We consider generalized versions of this problem, and offer algorithms to: (1) given a user specified polynomial set P and a precondition psi, find the smallest algebraic postcondition phi including the variety determined by the valid conservation laws in P (relativized strongest postcondition); (2) given a user specified postcondition phi, find the largest algebraic precondition psi (weakest precondition). The first algorithm can also be used to find the weakest algebraic invariant of the system implying all conservation laws in P valid under psi. The effectiveness of these algorithms is demonstrated on a few case studies from the literature.

Includes members:
  Member "algebra coalgebra and minimization in polynomial differential equations":
    also connected through other hyperedges:
      (none)
  Member "essential convexity and complexity of semi algebraic constraints":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a survey of challenges for runtime verification from advanced application domains beyond software")
  Member "the structure of differential invariants and differential cut elimination":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "toward structured proofs for dynamic logics")
  Member "computing semi algebraic invariants for polynomial dynamical systems":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "generalized property directed reachability for hybrid systems")

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.LO(Logic in Computer Science)