paper-with-me

Papers

Time to Reason: Scalable Neurosymbolic Learning for LTLf via Fuzzy Semantics

2026-08-17 · Riccardo Andreoni, Andrei Buliga, Alessandro Daniele, Paolo Felli, Chiara Ghidini, Marco Montali, Massimiliano Ronzani arxiv

Neurosymbolic (NeSy) Artificial Intelligence aims to integrate Deep Learning (DL) architectures with symbolic reasoning. While initial NeSy approaches have targeted mainly symbolic reasoning in propositional and first-order logics, recent works have started to address the construction of neurosymbolic frameworks for Temporal Logics, and in particular for LTLf. These approaches have established temporal NeSy as a promising research direction, laying the foundations for learning under temporal constraints. Nonetheless, they leave many questions unanswered. From a theoretical perspective, several differentiable semantics for interpreting LTLf have been proposed but have not yet been formally and systematically defined within a unified framework. Moreover, existing approaches commonly rely on automata to represent temporal knowledge, resulting in limited scalability. Motivated by this research gap, this paper provides the following contributions: (i) formally defining different fuzzy semantics for LTLf, and systematically analysing theoretical properties regarding equivalences and dualities of temporal operators; (ii) showing how these semantics can be directly integrated within a novel NeSy framework, called DiffLTLf, enabling flexible and scalable learning without relying on the usage of automata; and (iii) introducing a novel evaluation protocol of increased complexity of learning tasks w.r.t. existing benchmarks. Our results show that the choice of fuzzy semantics has a significant impact on predictive performance. Moreover, DiffLTLf achieves performance on par with, and sometimes superior to, state-of-the-art probabilistic approaches while substantially improving scalability. Taken together, these results establish direct fuzzy interpretations as a competitive and scalable alternative to existing temporal NeSy frameworks.

📄 PDF Abstract BibTeX arXiv:2608.16443

Code (0)

등록된 구현이 없습니다.

Similar Papers 제목 키워드 기반

T-ILR: a Neurosymbolic Integration for LTLf

2025-08-21 · Riccardo Andreoni, Andrei Buliga, Alessandro Daniele, Chiara Ghidini 외 arxiv

State-of-the-art approaches for integrating symbolic knowledge with deep learning architectures have demonstrated promising results in static domains. However, methods to handle temporal logic specifications remain under…

Computational Efficiency

Formally Verified Neurosymbolic Trajectory Learning via Tensor-based Linear Temporal Logic on Finite Traces

2025-01-23 · Mark Chevallier, Filip Smola, Richard Schmoetten, Jacques D. Fleuriot

We present a novel formalisation of tensor semantics for linear temporal logic on finite traces (LTLf), with formal proofs of correctness carried out in the theorem prover Isabelle/HOL. We demonstrate that this formalisa…

Optimisation in Neurosymbolic Learning Systems

2024-01-19 · Emile van Krieken

Neurosymbolic AI aims to integrate deep learning with symbolic AI. This integration has many promises, such as decreasing the amount of data required to train a neural network, improving the explainability and interpreta…

Conformance Checking of Fuzzy Logs against Declarative Temporal Specifications

2024-06-17 · Ivan Donadello, Paolo Felli, Craig Innes, Fabrizio Maria Maggi 외

Traditional conformance checking tasks assume that event data provide a faithful and complete representation of the actual process executions. This assumption has been recently questioned: more and more often events are …

Neuro-Symbolic Injection of LTLf Constraints in Autoregressive Reinforcement Learning Policies

2026-06-06 · Ashkan Ansarifard, Matteo Mancanelli, Elena Umili, Fabio Patrizi arxiv

In this work we study offline reinforcement learning (RL) under temporally extended task constraints expressed in Linear Temporal Logic over finite traces (LTLf). Recently, transformer-based approaches such as Trajectory…

Reinforcement Learning