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Epistemic modals have peculiar logical features that are challenging to account for in a broadly classical framework. For instance, while a sentence of the form $p\wedge\Diamond\neg p$ ('$p$, but it might be that not $p$') appears to be a…

Logic in Computer Science · Computer Science 2024-03-26 Wesley H. Holliday , Matthew Mandelkern

Modern large language models (LLMs) like ChatGPT have shown remarkable performance on general language tasks but still struggle on complex reasoning tasks, which drives the research on cognitive behaviors of LLMs to explore human-like…

Computation and Language · Computer Science 2024-10-10 Tian Liang , Zhiwei He , Wenxiang Jiao , Xing Wang , Yan Wang , Rui Wang , Yujiu Yang , Shuming Shi , Zhaopeng Tu

Inductive reasoning is an essential capability for large language models (LLMs) to achieve higher intelligence, which requires the model to generalize rules from observed facts and then apply them to unseen examples. We present MIRAGE, a…

Computation and Language · Computer Science 2025-03-03 Jiachun Li , Pengfei Cao , Zhuoran Jin , Yubo Chen , Kang Liu , Jun Zhao

Deep pre-trained contextualized encoders like BERT (Delvin et al., 2019) demonstrate remarkable performance on a range of downstream tasks. A recent line of research in probing investigates the linguistic knowledge implicitly learned by…

Computation and Language · Computer Science 2020-05-01 Ilia Kuznetsov , Iryna Gurevych

Despite the remarkable advancements and widespread applications of deep neural networks, their ability to perform reasoning tasks remains limited, particularly in domains requiring structured, abstract thought. In this paper, we investigate…

Computation and Language · Computer Science 2025-09-16 Satyam Goyal , Soham Dan

Constrained decoding approaches aim to control the meaning or style of text generated by the pre-trained large language models (LLMs or also PLMs) for various tasks at inference time. However, these methods often guide plausible…

Computation and Language · Computer Science 2025-05-06 Chen Xu , Tian Lan , Yu Ji , Changlong Yu , Wei Wang , Jun Gao , Qunxi Dong , Kun Qian , Piji Li , Wei Bi , Bin Hu

In a ceteris-paribus semantics for deontic logic, a state of affairs where a larger set of prescriptions is respected is preferable to a state of affairs where some of them are violated. Conditional preference nets (CP-nets) are a compact…

Artificial Intelligence · Computer Science 2020-03-25 Roberta Calegari , Andrea Loreggia , Emiliano Lorini , Francesca Rossi , Giovanni Sartor

In this paper we discuss some reasons why temporal logic might not be suitable to model real life norms. To show this, we present a novel deontic logic contrary-to-duty/derived permission paradox based on the interaction of obligations,…

Artificial Intelligence · Computer Science 2022-09-13 Guido Governatori

Natural language understanding applications such as interactive planning and face-to-face translation require extensive inferencing. Many of these inferences are based on the meaning of particular open class words. Providing a…

cmp-lg · Computer Science 2008-02-03 Marc Light , Lenhart Schubert

Recently developed large language models (LLMs) have been shown to perform remarkably well on a wide range of language understanding tasks. But, can they really "reason" over the natural language? This question has been receiving…

Computation and Language · Computer Science 2024-06-07 Mihir Parmar , Nisarg Patel , Neeraj Varshney , Mutsumi Nakamura , Man Luo , Santosh Mashetty , Arindam Mitra , Chitta Baral

In order to enrich dynamic semantic theories with a `pragmatic' capacity, we combine dynamic and nonmonotonic (preferential) logics in a modal logic setting. We extend a fragment of Van Benthem and De Rijke's dynamic modal logic with…

cmp-lg · Computer Science 2008-02-03 Jan Jaspars , Megumi Kameyama

Semantic degeneracy represents a fundamental property of natural language that extends beyond simple polysemy to encompass the combinatorial explosion of potential interpretations that emerges as semantic expressions increase in complexity.…

Computation and Language · Computer Science 2025-07-16 Christopher J. Agostino , Quan Le Thien , Molly Apsel , Denizhan Pak , Elina Lesyk , Ashabari Majumdar

The paper studies defeasible reasoning in rule-based systems, in particular about legal norms and contracts. We identify rule modifiers that specify how rules interact and how they can be overridden. We then define rule transformations that…

Artificial Intelligence · Computer Science 2022-05-17 How Khang Lim , Avishkar Mahajan , Martin Strecker , Meng Weng Wong

Differentiable logics (DL) have recently been proposed as a method of training neural networks to satisfy logical specifications. A DL consists of a syntax in which specifications are stated and an interpretation function that translates…

Logic in Computer Science · Computer Science 2023-10-06 Natalia Ślusarz , Ekaterina Komendantskaya , Matthew L. Daggitt , Robert Stewart , Kathrin Stark

While pre-trained language models (PLMs) are the go-to solution to tackle many natural language processing problems, they are still very limited in their ability to capture and to use common-sense knowledge. In fact, even if information is…

Artificial Intelligence · Computer Science 2021-09-28 Mohammed Saeed , Naser Ahmadi , Preslav Nakov , Paolo Papotti

Statutory reasoning is the task of determining whether a legal statute, stated in natural language, applies to the text description of a case. Prior work introduced a resource that approached statutory reasoning as a monolithic textual…

Computation and Language · Computer Science 2021-05-18 Nils Holzenberger , Benjamin Van Durme

Metaphors are everywhere. They appear extensively across all domains of natural language, from the most sophisticated poetry to seemingly dry academic prose. A significant body of research in the cognitive science of language argues for the…

Computation and Language · Computer Science 2024-10-14 Rebecca M. M. Hicke , Ross Deans Kristensen-McLachlan

Rulelog is a knowledge representation and reasoning language based on logic programming under the well-founded semantics. It is an extension of the language of Flora-2 and so supports inheritance and other object-oriented features, as well…

Software Engineering · Computer Science 2013-08-21 Carl Andersen , Brett Benyo , Miguel Calejo , Mike Dean , Paul Fodor , Benjamin N. Grosof , Michael Kifer , Senlin Liang , Terrance Swift

The development of highly fluent large language models (LLMs) has prompted increased interest in assessing their reasoning and problem-solving capabilities. We investigate whether several LLMs can solve a classic type of deductive reasoning…

Computation and Language · Computer Science 2024-04-16 Spencer M. Seals , Valerie L. Shalin

Three publicly-available LLM specifically designed for legal tasks have been implemented and shown that classification accuracy can benefit from training over legal corpora, but why and how? Here we use two publicly-available legal…

Machine Learning · Computer Science 2025-01-30 Richard K. Belew