human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "proving correctness of imperative programs by linearizing constrained horn clauses"
  Abstract: We present a method for verifying the correctness of imperative programs which is based on the automated transformation of their specifications. Given a program prog, we consider a partial correctness specification of the form $\{\varphi\}$ prog $\{\psi\}$, where the assertions $\varphi$ and $\psi$ are predicates defined by a set Spec of possibly recursive Horn clauses with linear arithmetic (LA) constraints in their premise (also called constrained Horn clauses). The verification method consists in constructing a set PC of constrained Horn clauses whose satisfiability implies that $\{\varphi\}$ prog $\{\psi\}$ is valid. We highlight some limitations of state-of-the-art constrained Horn clause solving methods, here called LA-solving methods, which prove the satisfiability of the clauses by looking for linear arithmetic interpretations of the predicates. In particular, we prove that there exist some specifications that cannot be proved valid by any of those LA-solving methods. These specifications require the proof of satisfiability of a set PC of constrained Horn clauses that contain nonlinear clauses (that is, clauses with more than one atom in their premise). Then, we present a transformation, called linearization, that converts PC into a set of linear clauses (that is, clauses with at most one atom in their premise). We show that several specifications that could not be proved valid by LA-solving methods, can be proved valid after linearization. We also present a strategy for performing linearization in an automatic way and we report on some experimental results obtained by using a preliminary implementation of our method.

Connected through hyperedge HE-1 (induced by source paper "lemma generation for horn clause satisfiability a preliminary study"):
  with members:
    - "proving properties of sorting programs a case study in horn clause verification"
    - "solving horn clauses on inductive data types without induction"
    - "predicate pairing for program verification"
    - "automating induction for solving horn clauses"

Connected through hyperedge HE-2 (induced by source paper "proving properties of sorting programs a case study in horn clause verification"):
  with members:
    - "solving horn clauses on inductive data types without induction"
    - "predicate pairing for program verification"
    - "smt based model checking for recursive programs"

Connected through hyperedge HE-3 (induced by source paper "solving horn clauses on inductive data types without induction"):
  with members:
    - "predicate pairing for program verification"
    - "automating induction for solving horn clauses"
    - "automatic abstraction in smt based unbounded software model checking"
    - "verification of java bytecode using analysis and transformation of logic programs"
    - "the parma polyhedra library toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems"

Connected through hyperedge HE-4 (induced by source paper "tree dimension in verification of constrained horn clauses"):
  with members:
    - "underapproximation of procedure summaries for integer programs"
    - "solving non linear horn clauses using a linear horn clause solver"
    - "the parma polyhedra library toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems"

Connected through hyperedge HE-5 (induced by source paper "verification of programs via intermediate interpretation"):
  with members:
    - "generating counterexamples for model checking by transformation"
    - "generating counterexamples for model checking by transformation"
    - "turchin s relation for call by name computations a formal approach"
    - "verifying temporal properties of reactive systems by transformation"
    - "generalization strategies for the verification of infinite state systems"
    - "positive supercompilation for a higher order call by value language"

Connected through hyperedge HE-6 (induced by source paper "predicate pairing for program verification"):
  with members:
    - "verification of java bytecode using analysis and transformation of logic programs"
    - "the octagon abstract domain"
    - "logic program specialisation through partial deduction control issues"

Connected through hyperedge HE-7 (induced by source paper "verifying programs via intermediate interpretation"):
  with members:
    - "turchin s relation for call by name computations a formal approach"
    - "positive supercompilation for a higher order call by value language"

Connected through hyperedge HE-8 (induced by source paper "coinductive soundness of corecursive type class resolution"):
  with members:
    - "operational semantics of resolution and productivity in horn clause logic"
    - "proof relevant corecursive resolution"
    - "structural resolution a framework for coinductive proof search and proof construction in horn clause logic"

Question: Please tell me which class the center node 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)