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The relationship between Lexical-Functional Grammar (LFG) functional structures (f-structures) for sentences and their semantic interpretations can be expressed directly in a fragment of linear logic in a way that explains correctly the…

cmp-lg · Computer Science 2008-02-03 Mary Dalrymple , John Lamping , Fernando Pereira , Vijay Saraswat

We investigate the expressive power of quantifier alternation hierarchy of first-order logic over words. This hierarchy includes the classes ${\Sigma}_i$ (sentences having at most $i$ blocks of quantifiers starting with an $\exists$) and…

Formal Languages and Automata Theory · Computer Science 2015-12-01 Théo Pierron , Thomas Place , Marc Zeitoun

We investigate quantifier alternation hierarchies in first-order logic on finite words. Levels in these hierarchies are defined by counting the number of quantifier alternations in formulas. We prove that one can decide membership of a…

Logic in Computer Science · Computer Science 2017-07-19 Thomas Place , Marc Zeitoun

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate. Moreover, to model concurrent and…

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

Statistical models of word-sense disambiguation are often based on a small number of contextual features or on a model that is assumed to characterize the interactions among a set of features. Model selection is presented as an alternative…

cmp-lg · Computer Science 2008-02-03 Ted Pedersen , Rebecca Bruce , Janyce Wiebe

We advance the thesis that the simulation of quantum circuits is fundamentally about the efficient management of a large (potentially exponential) number of delimited continuations. The family of Scheme languages, with its efficient…

Programming Languages · Computer Science 2024-09-18 Vikraman Choudhury , Borislav Agapiev , Amr Sabry

By transmitting task-related information only, semantic communications yield significant performance gains over conventional communications. However, the lack of mature semantic theory about semantic information quantification and…

Information Theory · Computer Science 2024-04-09 Lei Yan , Zhijin Qin , Chunfeng Li , Rui Zhang , Yongzhao Li , Xiaoming Tao

We investigate the quantifier alternation hierarchy in first-order logic on finite words. Levels in this hierarchy are defined by counting the number of quantifier alternations in formulas. We prove that one can decide membership of a…

Formal Languages and Automata Theory · Computer Science 2014-04-29 Thomas Place , Marc Zeitoun

In this work, we give rigorous operational meaning to superposition of causal orders. This fits within a recent effort to understand how the standard operational perspective on quantum theory could be extended to include indefinite…

Quantum Physics · Physics 2021-09-07 Nicola Pinzani , Stefano Gogioso

An operational definition of contextuality is introduced which generalizes the standard notion in three ways: (1) it applies to arbitrary operational theories rather than just quantum theory, (2) it applies to arbitrary experimental…

Quantum Physics · Physics 2016-09-08 R. W. Spekkens

Traditional semantic parsers map language onto compositional, executable queries in a fixed schema. This mapping allows them to effectively leverage the information contained in large, formal knowledge bases (KBs, e.g., Freebase) to answer…

Computation and Language · Computer Science 2016-11-30 Matt Gardner , Jayant Krishnamurthy

The term quantum logic has different connotations for different people, having been considered as everything from a metaphysical attack on classical reasoning to an exercise in abstract algebra. Our aim here is to give a uniform…

Quantum Physics · Physics 2007-05-23 Bob Coecke , David Moore , Alexander Wilce

Explainable multi-hop question answering (QA) not only predicts answers but also identifies rationales, i. e. subsets of input sentences used to derive the answers. This problem has been extensively studied under the supervised setting,…

Computation and Language · Computer Science 2023-05-24 Wenting Zhao , Justin T. Chiu , Claire Cardie , Alexander M. Rush

In the present paper, semantic parsing challenges are briefly introduced and QDMR formalism in semantic parsing is implemented using sequence to sequence model with attention but uses only part of speech(POS) as a representation of words of…

Computation and Language · Computer Science 2023-01-03 Farshad Noravesh

Sentences containing multiple semantic operators with overlapping scope often create ambiguities in interpretation, known as scope ambiguities. These ambiguities offer rich insights into the interaction between semantic structure and world…

Computation and Language · Computer Science 2024-06-18 Gaurav Kamath , Sebastian Schuster , Sowmya Vajjala , Siva Reddy

This article contains ideas and their elaboration for quantifiers, which appeared after checking in practice the experimental language of the formal knowledge representation YAFOLL [1]: - looking at for_all and exists quantifiers as…

Logic in Computer Science · Computer Science 2019-08-30 Alex Shkotin

We introduce a notion of contextuality for transformations in sequential contexts, distinct from the Bell-Kochen-Specker and Spekkens notions of contextuality. Within a transformation-based model for quantum computation we show that strong…

Quantum Physics · Physics 2018-12-12 Shane Mansfield , Elham Kashefi

In this paper, we investigate bounded action theories in the situation calculus. A bounded action theory is one which entails that, in every situation, the number of object tuples in the extension of fluents is bounded by a given constant,…

Artificial Intelligence · Computer Science 2015-09-08 Giuseppe De Giacomo , Yves Lespérance , Fabio Patrizi

Due to the lack of insufficient data, existing multi-hop open domain question answering systems require to effectively find out relevant supporting facts according to each question. To alleviate the challenges of semantic factual sentences…

Computation and Language · Computer Science 2022-03-02 Qianglong Chen

Computability logic (CL) (see http://www.cis.upenn.edu/~giorgi/cl.html) is a semantical platform and research program for redeveloping logic as a formal theory of computability, as opposed to the formal theory of truth which it has more…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze