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We study probabilistic team semantics which is a semantical framework allowing the study of logical and probabilistic dependencies simultaneously. We examine and classify the expressive power of logical formalisms arising by different…

Logic in Computer Science · Computer Science 2019-02-26 Miika Hannula , Åsa Hirvonen , Juha Kontinen , Vadim Kulikov , Jonni Virtema

The standard notion of formal theory, in Logic, is in general biased exclusively towards assertion: it commonly refers only to collections of assertions that any agent who accepts the generating axioms of the theory should also be committed…

Logic · Mathematics 2019-04-04 Carolina Blasio , Carlos Caleiro , João Marcos

Sequence theories are an extension of theories of strings with an infinite alphabet of letters, together with a corresponding alphabet theory (e.g. linear integer arithmetic). Sequences are natural abstractions of extendable arrays, which…

Logic in Computer Science · Computer Science 2023-08-02 Artur Jeż , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer

We introduce and study semantic capacity of terms. For example, the semantic capacity of artificial intelligence is higher than that of linear regression since artificial intelligence possesses a broader meaning scope. Understanding…

Computation and Language · Computer Science 2020-10-06 Jie Huang , Zilong Wang , Kevin Chen-Chuan Chang , Wen-mei Hwu , Jinjun Xiong

We propose a new method for mining frequent patterns in a language that combines both Semantic Web ontologies and rules. In particular we consider the setting of using a language that combines description logics with DL-safe rules. This…

Logic in Computer Science · Computer Science 2015-03-13 Joanna Jozefowska , Agnieszka Lawrynowicz , Tomasz Lukaszewski

The study of homonymy is vital to resolving fundamental problems in lexical semantics. In this paper, we propose four hypotheses that characterize the unique behavior of homonyms in the context of translations, discourses, collocations, and…

Computation and Language · Computer Science 2020-02-18 Bradley Hauer , Grzegorz Kondrak

Tables on the Web contain a vast amount of knowledge in a structured form. To tap into this valuable resource, we address the problem of table retrieval: answering an information need with a ranked list of tables. We investigate this…

Information Retrieval · Computer Science 2021-05-14 Shuo Zhang , Krisztian Balog

Discourse relations bind smaller linguistic units into coherent texts. However, automatically identifying discourse relations is difficult, because it requires understanding the semantics of the linked arguments. A more subtle challenge is…

Computation and Language · Computer Science 2014-11-26 Yangfeng Ji , Jacob Eisenstein

Algebraic theories with dependency between sorts form the structural core of Martin-L\"of type theory and similar systems. Their denotational semantics are typically studied using categorical techniques; many different categorical…

Category Theory · Mathematics 2024-12-31 Benedikt Ahrens , Peter LeFanu Lumsdaine , Paige Randall North

Logically constrained term rewriting is a rewriting framework that supports built-in data structures such as integers and bit vectors. Recently, constrained terms play a key role in various analyses and applications of logically constrained…

Logic in Computer Science · Computer Science 2025-12-16 Kanta Takahata , Jonas Schöpf , Naoki Nishida , Takahito Aoto

Relationships between objects constitute our notion of space. When these relationships change we interpret this as the passage of time. Observer interpretations are essential to the way we understand these relationships. Hence observer…

Multiagent Systems · Computer Science 2014-11-21 Mark Burgess

Underlying the theory of inferences, a primary task of logic is language analysis. Such a task can be understood as depending on a general theory of representation, taking as a starting point the idea that some entities (`` representations…

Logic in Computer Science · Computer Science 2023-07-21 Arnaud Plagnol

Syntactic theory has traditionally adopted a constructivist approach, in which a set of atomic elements are manipulated by combinatory operations to yield derived, complex elements. Syntactic structure is thus seen as the result or discrete…

Computation and Language · Computer Science 2019-01-01 Diego Gabriel Krivochen

Current open-domain neural semantics parsers show impressive performance. However, closer inspection of the symbolic meaning representations they produce reveals significant weaknesses: sometimes they tend to merely copy character sequences…

Computation and Language · Computer Science 2024-09-19 Xiao Zhang , Gosse Bouma , Johan Bos

Coherent discourse is distinguished from a mere collection of utterances by the satisfaction of a diverse set of constraints, for example choice of expression, logical relation between denoted events, and implicit compatibility with…

Computation and Language · Computer Science 2021-05-11 Anne Beyer , Sharid Loáiciga , David Schlangen

Formal semantics offers a complete and rigorous definition of a language. It is important to define different semantic models for a language and different models serve different purposes. Building equivalence between different semantic…

Logic in Computer Science · Computer Science 2010-02-18 Shamim H. Ripon , Michael Butler

As dialogue agents become increasingly human-like in their performance, it is imperative that we develop effective ways to describe their behaviour in high-level terms without falling into the trap of anthropomorphism. In this paper, we…

Computation and Language · Computer Science 2023-05-29 Murray Shanahan , Kyle McDonell , Laria Reynolds

Various concerns suggest looking for internal co-categories in categories with strong logical structure. It turns out that in any coherent category, all co-categories are co-equivalence relations.

Category Theory · Mathematics 2014-11-21 Peter LeFanu Lumsdaine

Over the past 50 years many have debated what representation should be used to capture the meaning of natural language utterances. Recently new needs of such representations have been raised in research. Here I survey some of the…

Computation and Language · Computer Science 2014-03-03 Yarin Gal

This paper addresses fundamental issues on the nature of the concepts and structures of fuzzy logic, focusing, in particular, on the conceptual and functional differences that exist between probabilistic and possibilistic approaches. A…

Artificial Intelligence · Computer Science 2013-04-05 Enrique H. Ruspini
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