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Automating the translation of natural language to first-order logic (FOL) is crucial for knowledge representation and formal methods, yet remains challenging. We present a systematic evaluation of fine-tuned LLMs for this task, comparing…

计算与语言 · 计算机科学 2025-12-02 Felix Vossel , Till Mossakowski , Björn Gehrke

In the paper I discuss a tool for helping students in their symbolizations of natural language sentences using the formal language of classical first order logic (CFOL). The tool is an extension of Hintikka's concept of (Inquirer's) range…

计算机与社会 · 计算机科学 2015-07-19 Levis Zerpa

Constraint propagation is one of the basic forms of inference in many logic-based reasoning systems. In this paper, we investigate constraint propagation for first-order logic (FO), a suitable language to express a wide variety of…

计算机科学中的逻辑 · 计算机科学 2011-07-11 Johan Wittocx , Marc Denecker , Maurice Bruynooghe

Several queries and scores have recently been proposed to explain individual predictions over ML models. Given the need for flexible, reliable, and easy-to-apply interpretability methods for ML models, we foresee the need for developing…

人工智能 · 计算机科学 2021-11-16 Marcelo Arenas , Daniel Baez , Pablo Barceló , Jorge Pérez , Bernardo Subercaseaux

Translating formal language into natural language is a foundational challenge in NLP, driving various downstream applications in semantic parsing, theorem validation, and question answering. In this study, we introduce First-Order Logic to…

计算与语言 · 计算机科学 2026-05-19 Mei Jia

We investigate how the sentence choice semantics (SCS) for propositional superposition logic (PLS) developed in \cite{Tz17} could be extended so as to successfully apply to first-order superposition logic(FOLS). There are two options for…

逻辑 · 数学 2023-03-28 Athanassios Tzouvaras

The difference between object-language and metalanguage is crucial for logical analysis, but has yet not been examined for the field of computer science. In this paper the difference is examined with regard to inferential relations. It is…

计算机科学中的逻辑 · 计算机科学 2020-07-07 Florian Richter

In this note we suggest that difficulties encountered in natural language semantics are, for the most part, due to the use of mere symbol manipulation systems that are devoid of any content. In such systems, where there is hardly any link…

人工智能 · 计算机科学 2007-12-13 Walid S. Saba

A growing interest in tasks involving language understanding by the NLP community has led to the need for effective semantic parsing and inference. Modern NLP systems use semantic representations that do not quite fulfill the nuanced needs…

计算与语言 · 计算机科学 2019-04-01 Gene Louis Kim , Lenhart Schubert

Reasoning in language models is difficult to evaluate: natural-language traces are unverifiable, symbolic datasets are too small, and most benchmarks conflate heuristics with inference. We present FOL-Traces, the first large-scale dataset…

人工智能 · 计算机科学 2026-01-27 Isabelle Lee , Sarah Liaw , Dani Yogatama

This paper discusses the representation of ontologies in the first-order logical environment {\ttfamily FOLE}. An ontology defines the primitives with which to model the knowledge resources for a community of discourse. These primitives…

计算机科学中的逻辑 · 计算机科学 2023-04-24 Robert E. Kent

Intelligent systems based on first-order logic on the one hand, and on artificial neural networks (also called connectionist systems) on the other, differ substantially. It would be very desirable to combine the robust neural networking…

人工智能 · 计算机科学 2007-05-23 Sebastian Bader , Pascal Hitzler , Steffen Hoelldobler

Recent work by (Richardson and Kuhn, 2017a,b; Richardson et al., 2018) looks at semantic parser induction and question answering in the domain of source code libraries and APIs. In this brief note, we formalize the representations being…

计算与语言 · 计算机科学 2018-04-19 Kyle Richardson

This paper discusses the representation of ontologies in the first-order logical environment {\ttfamily FOLE}. An ontology defines the primitives with which to model the knowledge resources for a community of discourse. These primitives…

数据库 · 计算机科学 2023-04-25 Robert E. Kent

This paper is a reflexion on the computability of natural language semantics. It does not contain a new model or new results in the formal semantics of natural language: it is rather a computational analysis of the logical models and…

计算与语言 · 计算机科学 2016-05-16 Richard Moot , Christian Retoré

Functional Distributional Semantics is a framework that aims to learn, from text, semantic representations which can be interpreted in terms of truth. Here we make two contributions to this framework. The first is to show how a type of…

计算与语言 · 计算机科学 2017-09-04 Guy Emerson , Ann Copestake

We provide a denotational semantics for first-order logic that captures the two-level view of the computation process typical for constraint programming. At one level we have the usual program execution. At the other level an automatic…

计算机科学中的逻辑 · 计算机科学 2007-05-23 K. R. Apt , C. F. M. Vermeulen

Logical relations are one of the most powerful techniques in the theory of programming languages, and have been used extensively for proving properties of a variety of higher-order calculi. However, there are properties that cannot be…

编程语言 · 计算机科学 2020-02-21 Gilles Barthe , Raphaëlle Crubillé , Ugo Dal Lago , Francesco Gavazzo

Possibilistic logic, an extension of first-order logic, deals with uncertainty that can be estimated in terms of possibility and necessity measures. Syntactically, this means that a first-order formula is equipped with a possibility degree…

人工智能 · 计算机科学 2013-02-28 Bernhard Hollunder

We introduce the relational ontology log, or relational olog, a knowledge representation system based on the category of sets and relations. It is inspired by Spivak and Kent's olog, a recent categorical framework for knowledge…

人工智能 · 计算机科学 2017-11-02 Evan Patterson