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: "definitions by rewriting in the calculus of constructions"
  Abstract: This paper presents general syntactic conditions ensuring the strong normalisation and the logical consistency of the Calculus of Algebraic Constructions, an extension of the Calculus of Constructions with functions and predicates defined by higher-order rewrite rules. On the one hand, the Calculus of Constructions is a powerful type system in which one can formalise the propositions and natural deduction proofs of higher-order logic. On the other hand, rewriting is a simple and powerful computation paradigm. The combination of the two allows, among other things, the development of formal proofs with a reduced size and more automation compared with more traditional proof assistants. The main novelty is to consider a general form of rewriting at the predicate-level that generalises the strong elimination of the Calculus of Inductive Constructions.

Connected through hyperedge HE-1 (induced by source paper "a modular termination method for second order computation"):
  with members:
    - "dependency pairs termination in dependent type theory modulo rewriting"
    - "termination of rewrite relations on λ terms based on girard s notion of reducibility"
    - "the computability path ordering"
    - "second order algebraic theories"
    - "argument filterings and usable rules in higher order rewrite systems"
    - "termination and confluence of higher order rewrite systems"
    - "inductive data type systems"

Connected through hyperedge HE-2 (induced by source paper "polymorphic higher order termination"):
  with members:
    - "dynamic dependency pairs for algebraic functional systems"
    - "argument filterings and usable rules in higher order rewrite systems"
    - "short proofs of strong normalization"

Connected through hyperedge HE-3 (induced by source paper "size based termination of higher order rewriting"):
  with members:
    - "higher order dependency pairs"
    - "termination of rewrite relations on λ terms based on girard s notion of reducibility"
    - "the computability path ordering"
    - "revisiting trace and testing equivalences for nondeterministic and probabilistic processes"
    - "derivation lengths classification of godel s t extending howard s assignment"
    - "polynomial interpretations for higher order rewriting"
    - "type based termination inflationary fixed points and mixed inductive coinductive types"
    - "static dependency pair method based on strong computability for higher order rewrite systems"

Connected through hyperedge HE-4 (induced by source paper "termination of rewrite relations on λ terms based on girard s notion of reducibility"):
  with members:
    - "higher order dependency pairs"
    - "the computability path ordering"
    - "polynomial interpretations for higher order rewriting"
    - "static dependency pair method based on strong computability for higher order rewrite systems"
    - "neighbourhood structures bisimilarity and basic model theory"
    - "on the relation between size based termination and semantic labelling"
    - "decidability of higher order matching"
    - "the computability path ordering the end of a quest"

Connected through hyperedge HE-5 (induced by source paper "color a coq library on well founded rewrite relations and its application to the automated verification of termination certificates"):
  with members:
    - "automated verification of termination certificates"
    - "automated complexity analysis based on the dependency pair method"
    - "automated termination proofs for logic programs by term rewriting"
    - "consistency and completeness of rewriting in the calculus of constructions"
    - "from formal proofs to mathematical proofs a safe incremental way for building in first order decision procedures"
    - "building decision procedures in the calculus of inductive constructions"

Connected through hyperedge HE-6 (induced by source paper "the computability path ordering the end of a quest"):
  with members:
    - "higher order dependency pairs"
    - "horpo with computability closure a reconstruction"
    - "computability closure ten years later"
    - "a type based termination criterion for dependently typed higher order rewrite systems"
    - "termination and confluence of higher order rewrite systems"
    - "inductive types in the calculus of algebraic constructions"
    - "higher order termination from kruskal to computability"
    - "inductive data type systems"

Connected through hyperedge HE-7 (induced by source paper "from formal proofs to mathematical proofs a safe incremental way for building in first order decision procedures"):
  with members:
    - "building decision procedures in the calculus of inductive constructions"
    - "inductive types in the calculus of algebraic constructions"
    - "the calculus of algebraic constructions"

Connected through hyperedge HE-8 (induced by source paper "on the strength of proof irrelevant type theories"):
  with members:
    - "a proof of strong normalisation using domain theory"

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)