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In this paper, we introduce a new interaction net implementation of optimal reduction for pure untyped lambda calculus. Unlike others, our implementation allows to reach normal form regardless of interaction net reduction strategy using the…

Logic in Computer Science · Computer Science 2015-12-15 Anton Salikhmetov

We study the design of efficient mechanisms under asymmetric awareness and information. Unawareness refers to the lack of conception rather than the lack of information. Assuming quasi-linear utilities and private values, we show that we…

Theoretical Economics · Economics 2025-04-08 Kym Pram , Burkhard C. Schipper

We define a variant of realizability where realizers are pairs of a term and a substitution. This variant allows us to prove the normalization of a simply-typed call-by-need $$\lambda$-$calculus with control due to Ariola et al. Indeed, in…

Logic in Computer Science · Computer Science 2018-03-05 Étienne Miquey , Hugo Herbelin

A burgeoning area within reinforcement learning (RL) is the design of sequential decision-making agents centered around large language models (LLMs). While autonomous decision-making agents powered by modern LLMs could facilitate numerous…

Machine Learning · Computer Science 2026-02-10 Dilip Arumugam , Thomas L. Griffiths

Increasing the thinking budget of AI models can significantly improve accuracy, but not all questions warrant the same amount of reasoning. Users may prefer to allocate different amounts of reasoning effort depending on how they value…

Artificial Intelligence · Computer Science 2025-11-13 Michael Kleinman , Matthew Trager , Alessandro Achille , Wei Xia , Stefano Soatto

A non-deterministic call-by-need lambda-calculus \calc with case, constructors, letrec and a (non-deterministic) erratic choice, based on rewriting rules is investigated. A standard reduction is defined as a variant of left-most outermost…

Programming Languages · Computer Science 2007-05-23 Manfred Schmidt-Schauß , Michael Huber

Ground robots which are able to navigate a variety of terrains are needed in many domains. One of the key aspects is the capability to adapt to the ground structure, which can be realized through movable body parts coming along with…

Robotics · Computer Science 2019-03-07 Tobias Klamt , Sven Behnke

Hierarchical Reinforcement Learning algorithms have successfully been applied to temporal credit assignment problems with sparse reward signals. However, state-of-the-art algorithms require manual specification of sub-task structures, a…

Machine Learning · Computer Science 2019-09-24 Robert Tjarko Lange , Aldo Faisal

A cornerstone of the theory of lambda-calculus is that intersection types characterise termination properties. They are a flexible tool that can be adapted to various notions of termination, and that also induces adequate denotational…

Logic in Computer Science · Computer Science 2019-02-18 Beniamino Accattoli , Giulio Guerrieri , Maico Leberle

The performance of graph algorithms is often measured in terms of the number of traversed edges per second (TEPS). However, this performance metric is inadequate for a graph operation such as exact triangle counting. In triangle counting,…

Performance · Computer Science 2021-09-30 Mark P. Blanco , Scott McMillan , Tze Meng Low

The emergence of large reasoning models demonstrates that scaling inference-time compute significantly enhances performance on complex tasks. However, it often falls into another trap: overthinking simple problems, where repetitive…

Computation and Language · Computer Science 2026-04-07 Siye Wu , Jian Xie , Yikai Zhang , Yanghua Xiao

In this article, we propose a reactive task allocation architecture for a multi-agent system for scenarios where the tasks arrive at random times and are grouped into multiple queues. Two stage tasks are considered where every task has a…

Robotics · Computer Science 2023-04-06 Niklas Dahlquist , Akshit Saradagi , George Nikolakopoulos

The Resource $\lambda$-calculus is a variation of the $\lambda$-calculus where arguments can be superposed and must be linearly used. Hence it is a model for linear and non-deterministic programming languages, and the target language of…

Logic in Computer Science · Computer Science 2015-02-18 Marco Solieri

A key functionality of emerging connected autonomous systems such as smart transportation systems, smart cities, and the industrial Internet-of-Things, is the ability to process and learn from data collected at different physical locations.…

Machine Learning · Computer Science 2021-01-26 Konstantinos Gatsis

A diverse array of reasoning strategies has been proposed to elicit the capabilities of large language models. However, in this paper, we point out that traditional evaluations which focus solely on performance metrics miss a key factor:…

Computation and Language · Computer Science 2024-06-18 Junlin Wang , Siddhartha Jain , Dejiao Zhang , Baishakhi Ray , Varun Kumar , Ben Athiwaratkun

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the error between the abstract neural network and the concrete…

Logic in Computer Science · Computer Science 2023-10-03 Alec Edwards , Mirco Giacobbe , Alessandro Abate

This paper presents the syntax and reduction rules for an abstract machine based on the JavaScript XML language. We incorporate the notion of cost into our reduction rules, and create a type system that over-approximate this cost. This…

In recent years, large language models have demonstrated remarkable performance across diverse tasks. However, their task effectiveness is heavily dependent on the prompting strategy used to elicit output, which can vary widely in both…

Computation and Language · Computer Science 2025-05-22 Chris Sypherd , Sergei Petrov , Sonny George , Vaishak Belle

We describe a realizability framework for classical first-order logic in which realizers live in (a model of) typed {\lambda}{\mu}-calculus. This allows a direct interpretation of classical proofs, avoiding the usual negative translation to…

Logic in Computer Science · Computer Science 2017-01-11 Valentin Blot

Deep research agents rely on iterative retrieval and reasoning to answer complex queries, but scaling test-time computation raises significant efficiency concerns. We study how to allocate reasoning budget in deep search pipelines, focusing…

Information Retrieval · Computer Science 2026-01-21 Sahel Sharifymoghaddam , Jimmy Lin
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