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We describe several views of the semantics of a simple programming language as formal documents in the calculus of inductive constructions that can be verified by the Coq proof system. Covered aspects are natural semantics, denotational…

Logic in Computer Science · Computer Science 2007-07-10 Yves Bertot

Data complexity is an important concept in the natural sciences and related areas, but lacks a rigorous and computable definition. In this paper, we focus on a particular sense of complexity that is high if the data is structured in a way…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Louis Mahon

Answering compositional questions requiring multi-step reasoning is challenging. We introduce an end-to-end differentiable model for interpreting questions about a knowledge graph (KG), which is inspired by formal approaches to semantics.…

Computation and Language · Computer Science 2018-08-30 Nitish Gupta , Mike Lewis

We explore denotational interpreters: denotational semantics that produce coinductive traces of a corresponding small-step operational semantics. By parameterising our denotational interpreter over the semantic domain and then varying it,…

Programming Languages · Computer Science 2024-07-15 Sebastian Graf , Simon Peyton Jones , Sven Keidel

Semantic communication, regarded as the breakthrough beyond the Shannon paradigm, aims at the successful transmission of semantic information conveyed by the source rather than the accurate reception of each single symbol or bit regardless…

Information Theory · Computer Science 2022-06-28 Zhijin Qin , Xiaoming Tao , Jianhua Lu , Wen Tong , Geoffrey Ye Li

Prolog's very useful expressive power is not captured by traditional logic programming semantics, due mainly to the cut and goal and clause order. Several alternative semantics have been put forward, exposing operational details of the…

Programming Languages · Computer Science 2011-07-28 António Porto

Part of the theory of logic programming and nonmonotonic reasoning concerns the study of fixed-point semantics for these paradigms. Several different semantics have been proposed during the last two decades, and some have been more…

Artificial Intelligence · Computer Science 2007-05-23 Pascal Hitzler , Matthias Wendt

In recent projects on operating-system verification, C and C++ data types are often formalized using a semantics that does not fully specify the precise byte encoding of objects. It is well-known that such an underspecified data-type…

Logic in Computer Science · Computer Science 2012-11-28 Hendrik Tews , Marcus Völp , Tjark Weber

Semantic communication stands out as a highly promising avenue for future developments in communications. Theoretically, source compression coding based on semantics can achieve lower rates than Shannon entropy. This paper introduces a…

Information Theory · Computer Science 2024-01-29 Jin Xu , Kai Niu , Zijian Liang , Ping Zhang

This document gives semantics to programs written in a C-like programming language, featuring interactions with an external environment with noisy and imprecise data.

Logic in Computer Science · Computer Science 2012-10-10 Assalé Adjé , Jean Goubault-Larrecq

We argue for a compositional semantics grounded in a strongly typed ontology that reflects our commonsense view of the world and the way we talk about it in ordinary language. Assuming the existence of such a structure, we show that the…

Artificial Intelligence · Computer Science 2009-09-29 Walid S. Saba

In this note we suggest that difficulties encountered in natural language semantics are, for the most part, due to the use of mere symbol manipulation systems that are devoid of any content. In such systems, where there is hardly any link…

Artificial Intelligence · Computer Science 2007-12-13 Walid S. Saba

Current empirically driven research on semantic communication lacks a unified theoretical foundation, preventing quantifiable Quality of Service guarantees, particularly for transmitting minimal structural semantics in emergency scenarios.…

Information Theory · Computer Science 2025-11-11 Xinke Jian , Zhiyuan Ren , Wenchi Cheng

Call a semantics for a language with variables absolute when variables map to fixed entities in the denotation. That is, a semantics is absolute when the denotation of a variable a is a copy of itself in the denotation. We give a trio of…

Logic in Computer Science · Computer Science 2026-04-20 Murdoch J. Gabbay

CAD programs are a popular way to compactly encode shapes as a sequence of operations that are easy to parametrically modify. However, without sufficient semantic comments and structure, such programs can be challenging to understand, let…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Haocheng Yuan , Jing Xu , Hao Pan , Adrien Bousseau , Niloy J. Mitra , Changjian Li

Semantic communication (SC) is recognized as a promising approach for enabling reliable communication with minimal data transfer while maintaining seamless connectivity for a group of wireless users. Unlocking the advantages of SC for…

Information Theory · Computer Science 2024-06-24 Nitisha Singh , Christo Kurisummoottil Thomas , Walid Saad , Emilio Calvanese Strinati

We provide a denotational semantics for first-order logic that captures the two-level view of the computation process typical for constraint programming. At one level we have the usual program execution. At the other level an automatic…

Logic in Computer Science · Computer Science 2007-05-23 K. R. Apt , C. F. M. Vermeulen

Semantic composition remains an open problem for vector space models of semantics. In this paper, we explain how the probabilistic graphical model used in the framework of Functional Distributional Semantics can be interpreted as a…

Computation and Language · Computer Science 2017-09-04 Guy Emerson , Ann Copestake

There is a growing need for abstractions in logic specification languages such as FO(.) and ASP. One technique to achieve these abstractions are templates (sometimes called macros). While the semantics of templates are virtually always…

Logic in Computer Science · Computer Science 2020-02-19 Ingmar Dasseville , Matthias van der Hallen , Gerda Janssens , Marc Denecker

Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing dependencies induced by quantifications in first-order…

Logic in Computer Science · Computer Science 2009-08-28 Samuel Mimram