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Large language models (LLMs) have been shown to be capable of impressive few-shot generalisation to new tasks. However, they still tend to perform poorly on multi-step logical reasoning problems. Here we carry out a comprehensive evaluation…

Artificial Intelligence · Computer Science 2022-05-20 Antonia Creswell , Murray Shanahan , Irina Higgins

Reasoning abilities of LLMs have been a key focus in recent years. One challenging reasoning domain with interesting nuances is legal reasoning, which requires careful application of rules, and precedents while balancing deductive and…

Computation and Language · Computer Science 2025-02-11 Venkatesh Mishra , Bimsara Pathiraja , Mihir Parmar , Sat Chidananda , Jayanth Srinivasa , Gaowen Liu , Ali Payani , Chitta Baral

The field of Language Reasoning Models (LRMs) has been very active over the past few years with advances in training and inference techniques enabling LRMs to reason longer, and more accurately. However, a growing body of studies show that…

Computation and Language · Computer Science 2025-12-17 Yannis Belkhiter , Seshu Tirupathi , Giulio Zizzo , John D. Kelleher

Process mining offers techniques to exploit event data by providing insights and recommendations to improve business processes. The growing amount of algorithms for process discovery has raised the question of which algorithms perform best…

Software Engineering · Computer Science 2018-06-20 Toon Jouck , Alfredo Bolt , Benoît Depaire , Massimiliano de Leoni , Wil M. P. van der Aalst

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

Machine Learning · Statistics 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman

Inductive reasoning is a core problem-solving capacity: humans can identify underlying principles from a few examples, which robustly generalize to novel scenarios. Recent work evaluates large language models (LLMs) on inductive reasoning…

Machine Learning · Computer Science 2024-06-03 Ruocheng Wang , Eric Zelikman , Gabriel Poesia , Yewen Pu , Nick Haber , Noah D. Goodman

We consider a class of production-inventory problems with box uncertainty sets from the seminal work of Ben-Tal et al. (2004) on linear decision rules in robust optimization. We prove that there always exists an optimal linear decision rule…

Optimization and Control · Mathematics 2025-03-20 Haihao Lu , Brad Sturt

Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus involving induction and co-induction. These proof principles…

Logic in Computer Science · Computer Science 2009-09-30 Alwen Tiu , Alberto Momigliano

Large language models (LLMs) are increasingly used to convert natural language descriptions into mathematical optimization formulations. Current evaluations often treat formulations as a whole, relying on coarse metrics like solution…

Machine Learning · Computer Science 2025-10-21 Dania Refai , Moataz Ahmed

Test-time compute scaling, the practice of spending extra computation during inference via repeated sampling, search, or extended reasoning, has become a powerful lever for improving large language model performance. Yet deploying these…

Machine Learning · Computer Science 2026-04-17 Zhiyuan Zhai , Bingcong Li , Bingnan Xiao , Ming Li , Xin Wang

For logic programs with arithmetic predicates, showing termination is not easy, since the usual order for the integers is not well-founded. A new method, easily incorporated in the TermiLog system for automatic termination analysis, is…

Programming Languages · Computer Science 2007-05-23 Nachum Dershowitz , Naomi Lindenstrauss , Yehoshua Sagiv , Alexander Serebrenik

We present an extension-based approach for computing and verifying preferences in an abstract argumentation system. Although numerous argumentation semantics have been developed previously for identifying acceptable sets of arguments from…

Artificial Intelligence · Computer Science 2024-03-27 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

This work presents a novel systematic methodology to analyse the capabilities and limitations of Large Language Models (LLMs) with feedback from a formal inference engine, on logic theory induction. The analysis is complexity-graded w.r.t.…

Computation and Language · Computer Science 2025-01-15 João Pedro Gandarela , Danilo S. Carvalho , André Freitas

We propose a novel framework that leverages large language models (LLMs) to guide the rank selection in tensor network models for higher-order data analysis. By utilising the intrinsic reasoning capabilities and domain knowledge of LLMs,…

Machine Learning · Computer Science 2024-10-15 Giorgos Iacovides , Wuyang Zhou , Danilo Mandic

Recent advancements in large language models have led to significant improvements across various tasks, including mathematical reasoning, which is used to assess models' intelligence in logical reasoning and problem-solving. Models are…

Artificial Intelligence · Computer Science 2026-04-27 Erez Yosef , Oron Anschel , Shunit Haviv Hakimi , Asaf Gendler , Adam Botach , Nimrod Berman , Igor Kviatkovsky

With the advancement in generative language models, the selection of prompts has gained significant attention in recent years. A prompt is an instruction or description provided by the user, serving as a guide for the generative language…

Machine Learning · Statistics 2024-05-21 Haoting Zhang , Jinghai He , Rhonda Righter , Zeyu Zheng

Prompt optimization has become crucial for enhancing the performance of large language models (LLMs) across a broad range of tasks. Although many research papers demonstrate its effectiveness, practical adoption is hindered because existing…

Computation and Language · Computer Science 2026-02-24 Tom Zehle , Timo Heiß , Moritz Schlager , Matthias Aßenmacher , Matthias Feurer

Large language models (LLMs) process entire input contexts indiscriminately, which is inefficient when the information required to answer a query is localized within the context. We present dynamic context cutoff, a novel method enabling…

Computation and Language · Computer Science 2026-02-10 Roy Xie , Junlin Wang , Paul Rosu , Chunyuan Deng , Bolun Sun , Zihao Lin , Bhuwan Dhingra

Finding a denotational semantics for higher order quantum computation is a long-standing problem in the semantics of quantum programming languages. Most past approaches to this problem fell short in one way or another, either limiting the…

Logic in Computer Science · Computer Science 2013-11-12 Michele Pagani , Peter Selinger , Benoît Valiron

We propose integration of reasoning into speech large language models (speechLLMs) for the end-to-end slot-filling task. Inspired by the recent development of reasoning LLMs, we use a chain-of-thought framework to decompose the slot-filling…

Computation and Language · Computer Science 2026-02-04 Kadri Hacioglu , Manjunath K E , Andreas Stolcke