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Instantiation overflow is the property of those second order types for which all instances of full comprehension can be deduced from instances of atomic comprehension. In other words, a type has instantiation overflow when one can type, by…

Logic in Computer Science · Computer Science 2018-03-28 Paolo Pistone

Pre-trained machine learning (ML) predictions have been increasingly used to complement incomplete data to enable downstream scientific inquiries, but their naive integration risks biased inferences. Recently, multiple methods have been…

Methodology · Statistics 2025-11-12 Xingran Chen , Tyler McCormick , Bhramar Mukherjee , Zhenke Wu

We introduce first order alternating automata, a generalization of boolean alternating automata, in which transition rules are described by multisorted first order formulae, with states and internal variables given by uninterpreted…

Formal Languages and Automata Theory · Computer Science 2018-11-20 Radu Iosif , Xiao Xu

Machine learning (ML) algorithms are increasingly important for the success of products and services, especially considering the growing amount and availability of data. This also holds for areas handling sensitive data, e.g. applications…

Cryptography and Security · Computer Science 2023-09-19 Martin Nocker , David Drexel , Michael Rader , Alessio Montuoro , Pascal Schöttle

Much mathematical writing exists that is, explicitly or implicitly, based on set theory, often Zermelo-Fraenkel set theory (ZF) or one of its variants. In ZF, the domain of discourse contains only sets, and hence every mathematical object…

Logic in Computer Science · Computer Science 2020-05-29 Ciarán Dunne , J. B. Wells , Fairouz Kamareddine

Machine learning (ML) systems that guarantee security and privacy often rely on Fully Homomorphic Encryption (FHE) as a cornerstone technique, enabling computations on encrypted data without exposing sensitive information. However, a…

Cryptography and Security · Computer Science 2024-12-20 Dongfang Zhao

With the rapid adoption of machine learning (ML), a number of domains now use the approach of fine tuning models which were pre-trained on a large corpus of data. However, our experiments show that even fine-tuning on models like BERT can…

Machine Learning · Computer Science 2021-04-06 Yuhan Liu , Saurabh Agarwal , Shivaram Venkataraman

We show that time complexity analysis of higher-order functional programs can be effectively reduced to an arguably simpler (although computationally equivalent) verification problem, namely checking first-order inequalities for validity.…

Logic in Computer Science · Computer Science 2012-10-26 Ugo Dal Lago , Barbara Petit

We give new proofs of soundness (all representable functions on base types lies in certain complexity classes) for Elementary Affine Logic, LFPL (a language for polytime computation close to realistic functional programming introduced by…

Logic in Computer Science · Computer Science 2007-05-23 U. Dal Lago , M. Hofmann

Federated Learning (FL) is an emerging framework for distributed processing of large data volumes by edge devices subject to limited communication bandwidths, heterogeneity in data distributions and computational resources, as well as…

Machine Learning · Computer Science 2022-04-11 Yonghai Gong , Yichuan Li , Nikolaos M. Freris

We propose a novel logic, called Frame Logic (FL), that extends first-order logic (with recursive definitions) using a construct Sp(.) that captures the implicit supports of formulas -- the precise subset of the universe upon which their…

Logic in Computer Science · Computer Science 2022-09-27 Adithya Murali , Lucas Peña , Christof Löding , P. Madhusudan

Flow Matching (FM) is a simulation-free method for learning a continuous and invertible flow to interpolate between two distributions, and in particular to generate data from noise. Inspired by the variational nature of the diffusion…

Machine Learning · Statistics 2025-07-14 Chen Xu , Xiuyuan Cheng , Yao Xie

Supervised finetuning (SFT) on instruction datasets has played a crucial role in achieving the remarkable zero-shot generalization capabilities observed in modern large language models (LLMs). However, the annotation efforts required to…

Expansion is an operation on typings (i.e., pairs of typing environments and result types) defined originally in type systems for the lambda-calculus with intersection types in order to obtain principal (i.e., most informative, strongest)…

Programming Languages · Computer Science 2012-01-06 Sergueï Lenglet , J. B. Wells

In this paper, we propose SmartFreeze, a framework that effectively reduces the memory footprint by conducting the training in a progressive manner. Instead of updating the full model in each training round, SmartFreeze divides the shared…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-20 Wu Yebo , Li Li , Tian Chunlin , Chang Tao , Lin Chi , Wang Cong , Xu Cheng-Zhong

We study a type checking algorithm that is able to type check a nontrivial subclass of functional programs that use features such as higher-rank, impredicative and second-order types. The only place the algorithm requires type annotation is…

Logic in Computer Science · Computer Science 2017-11-15 Peng Fu

We introduce MLFMF, a collection of data sets for benchmarking recommendation systems used to support formalization of mathematics with proof assistants. These systems help humans identify which previous entries (theorems, constructions,…

Machine Learning · Computer Science 2023-10-25 Andrej Bauer , Matej Petković , Ljupčo Todorovski

Formal properties represent a cornerstone of the system-correctness proofs based on formal verification techniques such as model checking. Formalizing requirements into temporal properties may be very complex and error prone, due not only…

Logic in Computer Science · Computer Science 2017-09-08 Stefano Tonetta

Class-incremental learning (CIL) is typically evaluated under predefined schedules with equal-sized tasks, leaving more realistic and complex cases unexplored. However, a practical CIL system should learns immediately when any number of new…

Machine Learning · Computer Science 2026-04-06 Zhiming Xu , Baile Xu , Jian Zhao , Furao Shen , Suorong Yang

We address the problem of local type inference for a language based on System F with context-free session types. We present an algorithm that leverages the bidirectional type checking approach to propagate type information, enabling first…

Programming Languages · Computer Science 2025-05-28 Bernardo Almeida , Andreia Mordido , Vasco T. Vasconcelos
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