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: "second order algebraic theories"
  Abstract: Fiore and Hur recently introduced a conservative extension of universal algebra and equational logic from first to second order. Second-order universal algebra and second-order equational logic respectively provide a model theory and a formal deductive system for languages with variable binding and parameterised metavariables. This work completes the foundations of the subject from the viewpoint of categorical algebra. Specifically, the paper introduces the notion of second-order algebraic theory and develops its basic theory. Two categorical equivalences are established: at the syntactic level, that of second-order equational presentations and second-order algebraic theories; at the semantic level, that of second-order algebras and second-order functorial models. Our development includes a mathematical definition of syntactic translation between second-order equational presentations. This gives the first formalisation of notions such as encodings and transforms in the context of languages with variable binding.

Connected through hyperedge HE-1 (induced by source paper "reduction monads and their signatures"):
  with members:
    - "modular specification of monads through higher order presentations"
    - "signatures and models for syntax and operational semantics in the presence of variable binding"
    - "high level signatures and initial semantics"
    - "lecture notes on the lambda calculus"
    - "modules over relative monads for syntax and semantics"
    - "monads need not be endofunctors"
    - "cartesian closed 2 categories and permutation equivalence in higher order rewriting"
    - "a theory of explicit substitutions with safe and full composition"

Connected through hyperedge HE-2 (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"
    - "argument filterings and usable rules in higher order rewrite systems"
    - "termination and confluence of higher order rewrite systems"
    - "definitions by rewriting in the calculus of constructions"
    - "inductive data type systems"

Connected through hyperedge HE-3 (induced by source paper "signatures and models for syntax and operational semantics in the presence of variable binding"):
  with members:
    - "high level signatures and initial semantics"
    - "lecture notes on the lambda calculus"
    - "monads need not be endofunctors"
    - "cartesian closed 2 categories and permutation equivalence in higher order rewriting"
    - "initial semantics for strengthened signatures"
    - "closed nominal rewriting and efficiently computable nominal algebra equality"
    - "a theory of explicit substitutions with safe and full composition"

Connected through hyperedge HE-4 (induced by source paper "modular termination checking theorems for second order computation"):
  with members:
    - "termination of rewrite relations on λ terms based on girard s notion of reducibility"

Connected through hyperedge HE-5 (induced by source paper "algebraic type theory and universe hierarchies"):
  with members:
    - "undecidability of equality in the free locally cartesian closed category extended version"

Connected through hyperedge HE-6 (induced by source paper "high level signatures and initial semantics"):
  with members:
    - "modules over relative monads for syntax and semantics"
    - "from signatures to monads in unimath"
    - "monads need not be endofunctors"
    - "initial semantics for strengthened signatures"
    - "modules over monads and linearity"

Connected through hyperedge HE-7 (induced by source paper "algebraic foundations of proof refinement"):
  with members:
    - "category theoretic semantics for theorem proving in logic programming embracing the laxness"

Connected through hyperedge HE-8 (induced by source paper "syntax and semantics of abstract binding trees"):
  with members:
    - "the abella interactive theorem prover system description"

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)