{"total":1,"items":[{"citing_arxiv_id":"2507.16620","ref_index":4,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence","primary_cat":"cs.LO","submitted_at":"2025-07-22T14:15:11+00:00","verdict":"REJECT","verdict_confidence":"MODERATE","novelty_score":2.0,"formal_verification":"none","one_line_summary":"The authors define a transordinal fixed-point operator and reflective semantic games, and claim that self-referential interpretation processes converge to a unique fixed point.","context_count":1,"top_context_role":"background","top_context_polarity":"unclear","context_text":"Foundation of Transmathematical Logic (FTL) . Figshare. DOI: 10.6084/m9.figshare.16797745 [3] Hintikka, J., & Sandu, G. (1997). Game-theoretical semantics. In J. van Benthem & A. ter Meulen (Eds.), Handbook of Logic and Language (pp. 361-410). Elsevier. DOI: 10.1016/B978-044481714-3/50009-6 [4] Kripke, S. (1975). Outline of a Theory of Truth. Journal of Philosophy, 72(19), 690-716. DOI: 10.2307/2024634 [5] Lambek, J. (1968). A fixpoint theorem for complete categories. Mathematische Zeitschrift, 103(2), 151-161. DOI: 10.1007/BF01110627 [6] Smyth, M. B., & Plotkin, G. D. (1982). The category-theoretic solution of recursive domain equations. SIAM Journal on Computing , 11(4), 761-783. DOI: 10.1137/0211062 [7] Tarski, A. (1955). A lattice-theoretical fixpoint theorem and its applications."}],"limit":50,"offset":0}