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We argue for a compositional semantics grounded in a strongly typed ontology that reflects our commonsense view of the world and the way we talk about it. Assuming such a structure we show that the semantics of various natural language…

Artificial Intelligence · Computer Science 2007-05-23 Walid S. Saba

Rewriting logic is naturally concurrent: several subterms of the state term can be rewritten simultaneously. But state terms are global, which makes compositionality difficult to achieve. Compositionality here means being able to decompose…

Logic in Computer Science · Computer Science 2020-01-31 Óscar Martín , Alberto Verdejo , Narciso Martí-Oliet

Algebraic theories with dependency between sorts form the structural core of Martin-L\"of type theory and similar systems. Their denotational semantics are typically studied using categorical techniques; many different categorical…

Category Theory · Mathematics 2024-12-31 Benedikt Ahrens , Peter LeFanu Lumsdaine , Paige Randall North

This short note presents a new formal language, lambda dependency-based compositional semantics (lambda DCS) for representing logical forms in semantic parsing. By eliminating variables and making existential quantification implicit, lambda…

Artificial Intelligence · Computer Science 2013-09-19 Percy Liang

This work proposes a novel methodology for measuring compositional behavior in contemporary language embedding models. Specifically, we focus on adjectival modifier phenomena in adjective-noun phrases. In recent years, distributional…

Computation and Language · Computer Science 2024-12-19 Danilo S. Carvalho , Edoardo Manino , Julia Rozanova , Lucas Cordeiro , André Freitas

One of the major challenges that NLP faces is metaphor detection, especially by automatic means, a task that becomes even more difficult for languages lacking in linguistic resources and tools. Our purpose is the automatic differentiation…

Computation and Language · Computer Science 2019-02-12 Eirini Florou , Konstantinos Perifanos , Dionysis Goutsos

We present three syntactic forcing models for coherent logic. These are based on sites whose underlying category only depends on the signature of the coherent theory, and they do not presuppose that the logic has equality. As an application…

Logic · Mathematics 2017-12-22 Marc Bezem , Ulrik Buchholtz , Thierry Coquand

The task of Semantic Parsing can be approximated as a transformation of an utterance into a logical form graph where edges represent semantic roles and nodes represent word senses. The resulting representation should be capture the meaning…

Computation and Language · Computer Science 2020-07-07 Ritwik Bose , Siddharth Vashishtha , James Allen

The relationship between communicated language and intended meaning is often probabilistic and sensitive to context. Numerous strategies attempt to estimate such a mapping, often leveraging recursive Bayesian models of communication. In…

Computation and Language · Computer Science 2023-05-03 Benjamin Lipkin , Lionel Wong , Gabriel Grand , Joshua B Tenenbaum

This paper analyses the declarative readings of logic programming. Logic programming - and negation as failure - has no unique declarative reading. One common view is that logic programming is a logic for default reasoning, a sub-formalism…

Logic in Computer Science · Computer Science 2007-05-23 Marc Denecker

Most generative document models act on bag-of-words input in an attempt to focus on the semantic content and thereby partially forego syntactic information. We argue that it is preferable to keep the original word order intact and…

Computation and Language · Computer Science 2018-06-06 Erik Holmer , Andreas Marfurt

Compositionality is one of the fundamental abilities of the human reasoning process, that allows to decompose a complex problem into simpler elements. Such property is crucial also for neural networks, especially when aiming for a more…

Machine Learning · Computer Science 2025-06-19 Luigi Quarantiello , Andrea Cossu , Vincenzo Lomonaco

Traditional sentence embedding models encode sentences into vector representations to capture useful properties such as the semantic similarity between sentences. However, in addition to similarity, sentence semantics can also be…

Computation and Language · Computer Science 2023-11-07 James Y. Huang , Wenlin Yao , Kaiqiang Song , Hongming Zhang , Muhao Chen , Dong Yu

The eventual goal of a language model is to accurately predict the value of a missing word given its context. We present an approach to word prediction that is based on learning a representation for each word as a function of words and…

Computation and Language · Computer Science 2007-05-23 Yair Even-Zohar , Dan Roth

We analyze the informal semantic conception of proof and axiomatize the proof relation and the provability operator. A self referential propositional calculus which admits provable liar type sentences is introduced and proven consistent. We…

Logic · Mathematics 2013-12-13 Nik Weaver

In the present paper we show that distributional information is particularly important when considering concept availability under implicit language learning conditions. Based on results from different behavioural experiments we argue that…

Computation and Language · Computer Science 2016-06-30 Dimitrios Alikaniotis , John N. Williams

We study semantic construal in grammatical constructions using large language models. First, we project contextual word embeddings into three interpretable semantic spaces, each defined by a different set of psycholinguistic feature norms.…

Computation and Language · Computer Science 2023-05-31 Gabriella Chronis , Kyle Mahowald , Katrin Erk

Within classical propositional logic, assigning probabilities to formulas is shown to be equivalent to assigning probabilities to valuations. A novel notion of probabilistic entailment enjoying desirable properties of logical consequence is…

Logic · Mathematics 2016-01-13 Joao Rasga , Cristina Sernadas , Amilcar Sernadas

We propose a novel ranking-based semantics for Dung-style argumentation frameworks with the help of conditional logics. Using an intuitive translation for an argumentation framework to generate conditionals, we can apply nonmonotonic…

Artificial Intelligence · Computer Science 2020-08-07 Kenneth Skiba , Matthias Thimm

Large language models (LLMs) take advantage of step-by-step reasoning instructions, e.g., chain-of-thought (CoT) prompting. Building on this, their ability to perform CoT-style reasoning robustly is of interest from a probing perspective.…

Computation and Language · Computer Science 2023-10-24 Mengyu Ye , Tatsuki Kuribayashi , Jun Suzuki , Goro Kobayashi , Hiroaki Funayama