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In machine translation (MT) that involves translating between two languages with significant differences in word order, determining the correct word order of translated words is a major challenge. The dependency parse tree of a source…

Computation and Language · Computer Science 2017-02-16 Christian Hadiwinoto , Hwee Tou Ng

Verification of higher-order probabilistic programs is a challenging problem. We present a verification method that supports several quantitative properties of higher-order probabilistic programs. Usually, extending verification methods to…

Logic in Computer Science · Computer Science 2024-07-04 Satoshi Kura , Hiroshi Unno

First Order Team Semantics is a generalization of Tarskian Semantics in which formulas are satisfied with respect to sets of assignments. In Team Semantics, it is possible to extend First Order Logic via new types of atoms that describe…

Logic · Mathematics 2025-06-19 Pietro Galliani

A substantial amount of research has been carried out in developing machine learning algorithms that account for term dependence in text classification. These algorithms offer acceptable performance in most cases but they are associated…

Information Retrieval · Computer Science 2017-10-26 Sounak Banerjee , Prasenjit Majumder , Mandar Mitra

Randomized higher-order computation can be seen as being captured by a lambda calculus endowed with a single algebraic operation, namely a construct for binary probabilistic choice. What matters about such computations is the probability of…

Logic in Computer Science · Computer Science 2020-12-24 Ugo Dal Lago , Claudia Faggian , Simona Ronchi Della Rocca

This technical report investigates Kripke-style modal type theories, both simply typed and dependently typed. We examine basic meta-theories of the type theories, develop their substitution calculi, and give normalization by evaluation…

Logic in Computer Science · Computer Science 2023-05-12 Jason Z. S. Hu , Brigitte Pientka

The lambda-Pi-calculus Modulo is a variant of the lambda-calculus with dependent types where beta-conversion is extended with user-defined rewrite rules. It is an expressive logical framework and has been used to encode logics and type…

Logic in Computer Science · Computer Science 2015-07-30 Ronan Saillard

This paper is devoted to the extraction of entities and semantic relations between them from scientific texts, where we consider scientific terms as entities. In this paper, we present a dataset that includes annotations for two tasks and…

Computation and Language · Computer Science 2022-09-30 Elena Bruches , Olga Tikhobaeva , Yana Dementyeva , Tatiana Batura

This paper describes the implementation and techniques of the Nagoya Termination Tool, a termination prover for term rewrite systems. The main features of the tool are: the first implementation of the weighted path order which subsumes most…

Logic in Computer Science · Computer Science 2014-04-29 Akihisa Yamada , Keiichirou Kusakari , Toshiki Sakabe

We present a system for generating parsers based directly on the metaphor of parsing as deduction. Parsing algorithms can be represented directly as deduction systems, and a single deduction engine can interpret such deduction systems so as…

cmp-lg · Computer Science 2008-02-03 Stuart M. Shieber , Yves Schabes , Fernando C. N. Pereira

We introduce a novel dependency parser, the hexatagger, that constructs dependency trees by tagging the words in a sentence with elements from a finite set of possible tags. In contrast to many approaches to dependency parsing, our approach…

Computation and Language · Computer Science 2023-08-01 Afra Amini , Tianyu Liu , Ryan Cotterell

Team Semantics generalizes Tarski's Semantics by defining satisfaction with respect to sets of assignments rather than with respect to single assignments. Because of this, it is possible to use Team Semantics to extend First Order Logic via…

Logic · Mathematics 2022-07-01 Pietro Galliani

In this paper a new general approach is developed to construct and study Lebesgue type decompositions of linear operators $T$ in the Hilbert space setting. The new approach allows to introduce an essentially wider class of Lebesgue type…

Functional Analysis · Mathematics 2023-09-20 Seppo Hassi , Henk de Snoo

The expression problem describes how most types can easily be extended with new ways to produce the type or new ways to consume the type, but not both. When abstract syntax trees are defined as an algebraic data type, for example, they can…

Programming Languages · Computer Science 2024-03-12 David Binder , Ingo Skupin , Tim Süberkrüb , Klaus Ostermann

Starting from elementary considerations about independence and Markov processes in classical probability we arrive at the new concept of conditional monotone independence (or operator-valued monotone independence). With the help of product…

Operator Algebras · Mathematics 2007-05-23 Michael Skeide

We present a type system that combines, in a controlled way, first-order polymorphism with intersectiontypes, union types, and subtyping, and prove its safety. We then define a type reconstruction algorithm that issound and terminating.…

Programming Languages · Computer Science 2023-11-20 Giuseppe Castagna , Mickaël Laurent , Kim Nguyen

The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prove the strong normalization of the reduction relation generated by the…

Logic in Computer Science · Computer Science 2016-08-16 Frédéric Blanqui

We present a general and user-extensible equality checking algorithm that is applicable to a large class of type theories. The algorithm has a type-directed phase for applying extensionality rules and a normalization phase based on…

Logic in Computer Science · Computer Science 2023-06-22 Andrej Bauer , Anja Petković Komel

Automated theorem provers (ATPs) can disprove conjectures by saturating a set of clauses, but the resulting saturated sets are opaque certificates. In the unit equational fragment, a saturated set can in fact be read as a convergent rewrite…

Logic in Computer Science · Computer Science 2026-02-19 Mikoláš Janota , Michael Rawson , Stephan Schulz

Unsupervised dependency parsing aims to learn a dependency parser from unannotated sentences. Existing work focuses on either learning generative models using the expectation-maximization algorithm and its variants, or learning…

Computation and Language · Computer Science 2017-09-26 Yong Jiang , Wenjuan Han , Kewei Tu
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