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LLMs are increasingly used as general-purpose reasoners, but long inputs remain bottlenecked by a fixed context window. Recursive Language Models (RLMs) address this by externalising the prompt and recursively solving subproblems. Yet…

Machine Learning · Computer Science 2026-03-23 Amartya Roy , Rasul Tutunov , Xiaotong Ji , Matthieu Zimmer , Haitham Bou-Ammar

In any setting in which observable properties have a quantitative flavour, it is natural to compare computational objects by way of \emph{metrics} rather than equivalences or partial orders. This holds, in particular, for probabilistic…

Logic in Computer Science · Computer Science 2017-01-20 Raphaëlle Crubillé , Ugo Dal Lago

Linear type systems have a long and storied history, but not a clear path forward to integrate with existing languages such as OCaml or Haskell. In this paper, we study a linear type system designed with two crucial properties in mind:…

Programming Languages · Computer Science 2017-11-09 Jean-Philippe Bernardy , Mathieu Boespflug , Ryan R. Newton , Simon Peyton Jones , Arnaud Spiwack

We introduce operational semantics into games. And based on the operational semantics, we establish a full algebra of games, including basic algebra of games, algebra of concurrent games, recursion and abstraction. The algebra can be used…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

The potential impact of autonomous robots on everyday life is evident in emerging applications such as precision agriculture, search and rescue, and infrastructure inspection. However, such applications necessitate operation in unknown and…

This paper studies the design of programming languages with handlers of higher-order effectful operations -- effectful operations that may take in computations as arguments or return computations as output. We present and analyse a core…

Programming Languages · Computer Science 2025-11-11 Zhixuan Yang , Nicolas Wu

Adversarial computations are a widely studied class of computations where resource-bounded probabilistic adversaries have access to oracles, i.e., probabilistic procedures with private state. These computations arise routinely in several…

Logic in Computer Science · Computer Science 2021-07-13 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Shin-ya Katsumata , Tetsuya Sato

In this paper we invite the reader to a journey through three lambda calculi with resource control: the lambda calculus, the sequent lambda calculus, and the lambda calculus with explicit substitution. All three calculi enable explicit…

Logic · Mathematics 2013-06-11 Silvia Ghilezan , Jelena Ivetic , Pierre Lescanne , Silvia Likavec

Nondeterminism introduced by race conditions and message reorderings makes parallel and distributed programming hard. Nevertheless, promising approaches such as LVars and CRDTs address this problem by introducing a partial order structure…

Programming Languages · Computer Science 2025-04-07 Nick Rioux , Steve Zdancewic

In-context learning (ICL) has garnered significant attention for its ability to grasp functions/tasks from demonstrations. Recent studies suggest the presence of a latent task/function vector in LLMs during ICL. Merullo et al. (2024) showed…

Machine Learning · Computer Science 2025-08-14 Dake Bu , Wei Huang , Andi Han , Atsushi Nitanda , Qingfu Zhang , Hau-San Wong , Taiji Suzuki

We present a formal translation of an actor-based language with cooperative scheduling to the functional language Haskell. The translation is proven correct with respect to a formal semantics of the source language and a high-level…

Programming Languages · Computer Science 2016-08-11 Elvira Albert , Nikolaos Bezirgiannis , Frank de Boer , Enrique Martin-Martin

Quantum computations operate in the quantum world. For their results to be useful in any way, there is an intrinsic necessity of cooperation and communication controlled by the classical world. As a consequence, full formal descriptions of…

Quantum Physics · Physics 2007-05-23 Philippe Jorrand , Marie Lalire

Free monads (and their variants) have become a popular general-purpose tool for representing the semantics of effectful programs in proof assistants. These data structures support the compositional definition of semantics parameterized by…

Programming Languages · Computer Science 2022-07-28 Yao Li , Stephanie Weirich

We consider the problem of learning the semantics of composite algebraic expressions from examples. The outcome is a versatile framework for studying learning tasks that can be put into the following abstract form: The input is a partial…

Computation and Language · Computer Science 2022-07-05 Johanna Björklund , Adam Dahlgren Lindström , Frank Drewes

Programs with control are usually modeled using lambda calculus extended with control operators. Instead of modifying lambda calculus, we consider a different model of computation. We introduce continuation calculus, or CC, a deterministic…

Logic in Computer Science · Computer Science 2013-09-06 Bram Geron , Herman Geuvers

In this paper we investigate the $\lambda$ -calculus, a $\lambda$-calculus enriched with resource control. Explicit control of resources is enabled by the presence of erasure and duplication operators, which correspond to thinning and…

Logic in Computer Science · Computer Science 2014-12-20 S. Ghilezan , J. Ivetic , P. Lescanne , S. Likavec

Quantum walks are widely and successfully used to model diverse physical processes. This leads to computation of the models, to explore their properties. Quantum walks have also been shown to be universal for quantum computing. This is a…

Emerging Technologies · Computer Science 2020-04-06 Viv Kendon

The paper investigates behavioural equivalence between programs in a call-by-value functional language extended with a signature of (algebraic) effect-triggering operations. Two programs are considered as being behaviourally equivalent if…

Logic in Computer Science · Computer Science 2019-10-28 Alex Simpson , Niels Voorneveld

Agents powered by large language models (LLMs) have demonstrated strong planning and decision-making capabilities in complex embodied environments. However, such agents often suffer from inefficiencies in multi-turn interactions, frequently…

Computation and Language · Computer Science 2025-09-23 Qingyu Lu , Liang Ding , Siyi Cao , Xuebo Liu , Kanjian Zhang , Jinxia Zhang , Dacheng Tao

Effect handlers have been gathering momentum as a mechanism for modular programming with user-defined effects. Effect handlers allow for non-local control flow mechanisms such as generators, async/await, lightweight threads and coroutines…

Programming Languages · Computer Science 2021-04-02 KC Sivaramakrishnan , Stephen Dolan , Leo White , Tom Kelly , Sadiq Jaffer , Anil Madhavapeddy
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