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NeSyCat paper unifies neurosymbolic ULLER framework semantics with monads

Researchers have introduced NeSyCat, a novel categorical framework based on monads that unifies the semantics of the neurosymbolic ULLER system. This approach demonstrates that classical, fuzzy, and probabilistic semantics for ULLER's first-order logic syntax are all instances of a single monad-based structure. The framework facilitates the modular addition of new semantics and enables systematic translations between them, with an example showing the extension of generalized quantification in Logic Tensor Networks. AI

影响 Provides a unified semantic framework for neurosymbolic systems, potentially simplifying integration and enabling new capabilities.

排序理由 Academic paper introducing a new theoretical framework for neurosymbolic systems.

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NeSyCat paper unifies neurosymbolic ULLER framework semantics with monads

报道来源 [2]

  1. arXiv cs.AI TIER_1 English(EN) · Daniel Romero Schellhorn, Till Mossakowski ·

    NeSyCat: A Monad-Based Categorical Semantics of the Neurosymbolic ULLER Framework

    arXiv:2604.24612v1 Announce Type: new Abstract: ULLER (Unified Language for LEarning and Reasoning) offers a unified first-order logic (FOL) syntax, enabling its knowledge bases to be used directly across a wide range of neurosymbolic systems. The original specification endows th…

  2. arXiv cs.AI TIER_1 English(EN) · Till Mossakowski ·

    NeSyCat: A Monad-Based Categorical Semantics of the Neurosymbolic ULLER Framework

    ULLER (Unified Language for LEarning and Reasoning) offers a unified first-order logic (FOL) syntax, enabling its knowledge bases to be used directly across a wide range of neurosymbolic systems. The original specification endows this syntax with three pairwise independent semant…