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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

We define a probabilistic programming language for Gaussian random variables with a first-class exact conditioning construct. We give operational, denotational and equational semantics for this language, establishing convenient properties…

Programming Languages · Computer Science 2021-01-28 Dario Stein , Sam Staton

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

The foundational concepts of semantic numeration systems theory are briefly outlined. The action of cardinal semantic operators unfolds over a set of cardinal abstract entities belonging to the cardinal semantic multeity. The cardinal…

Logic in Computer Science · Computer Science 2025-07-30 Alexander Yu. Chunikhin

Describing systems in terms of choices and their resulting costs and rewards offers the promise of freeing algorithm designers and programmers from specifying how those choices should be made; in implementations, the choices can be realized…

Logic in Computer Science · Computer Science 2024-02-14 Martin Abadi , Gordon Plotkin

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

We describe a mathematical structure that can give extensional denotational semantics to higher-order probabilistic programs. It is not limited to discrete probabilities, and it is compatible with integration in a way the models that have…

Logic in Computer Science · Computer Science 2021-04-14 Guillaume Geoffroy

Natural language is characterized by compositionality: the meaning of a complex expression is constructed from the meanings of its constituent parts. To facilitate the evaluation of the compositional abilities of language processing…

Computation and Language · Computer Science 2020-10-13 Najoung Kim , Tal Linzen

We exhibit a sound and complete implicit-complexity formalism for functions feasibly computable by structural recursions over inductively defined data structures. Feasibly computable here means that the structural-recursive definition runs…

Computational Complexity · Computer Science 2022-05-23 Norman Danner , James S. Royer

Terminal coalgebras for a functor serve as semantic domains for state-based systems of various types. For example, behaviors of CCS processes, streams, infinite trees, formal languages and non-well-founded sets form terminal coalgebras. We…

Logic in Computer Science · Computer Science 2015-07-01 Stefan Milius , Lawrence S Moss , Daniel Schwencke

Compositionality is a widely discussed property of natural languages, although its exact definition has been elusive. We focus on the proposal that compositionality can be assessed by measuring meaning-form correlation. We analyze…

Computation and Language · Computer Science 2020-12-08 Timothee Mickus , Timothée Bernard , Denis Paperno

Spatial constraint systems (scs) are semantic structures for reasoning about spatial and epistemic information in concurrent systems. They have been used to reason about beliefs, lies, and group epistemic behaviour inspired by social…

Multiagent Systems · Computer Science 2019-08-26 Frank Valencia

This paper develops a novel minimal-state operational semantics for higher-order functional languages that uses only the call stack and a source program point or a lexical level as the complete state information: there is no environment, no…

Programming Languages · Computer Science 2024-03-11 Scott Smith , Robert Zhang

This paper describes an algorithm for the compilation of a two (or more) level orthographic or phonological rule notation into finite state transducers. The notation is an alternative to the standard one deriving from Koskenniemi's work: it…

cmp-lg · Computer Science 2008-02-03 Edmund Grimley-Evans , George Anton Kiraz , Stephen G. Pulman

Recent approaches to verifying programs in separation logics for concurrency have used state transition systems (STSs) to specify the atomic operations of programs. A key challenge in the setting has been to compose such STSs into larger…

Programming Languages · Computer Science 2017-09-25 Aleksandar Nanevski , Anindya Banerjee , Germán Andrés Delbianco

We introduce Dynamic SOS as a framework for describing semantics of programming languages that include dynamic software upgrades, for upgrading software code during run-time. Dynamic SOS (DSOS) is built on top of the Modular SOS of P.…

Programming Languages · Computer Science 2018-07-24 Christian Johansen , Olaf Owe

Normative non-functional requirements specify constraints that a system must observe in order to avoid violations of social, legal, ethical, empathetic, and cultural norms. As these requirements are typically defined by non-technical system…

The analysis of games played on graph-like structures is of increasing importance due to the prevalence of social networks, both virtual and physical, in our daily life. As well as being relevant in computer science, mathematical analysis…

Computer Science and Game Theory · Computer Science 2022-05-17 Elena Di Lavore , Jules Hedges , Paweł Sobociński

In Apt and Bezem [AB99] (see cs.LO/9811017) we provided a computational interpretation of first-order formulas over arbitrary interpretations. Here we complement this work by introducing a denotational semantics for first-order logic.…

Programming Languages · Computer Science 2007-05-23 Krzysztof R. Apt

This document defines the mathematical backbone of the Statebox programming language. In the simplest way possible, Statebox can be seen as a clever way to tie together different theoretical structures to maximize their benefits and limit…

Programming Languages · Computer Science 2019-06-27 Statebox Team , Fabrizio Genovese , Jelle Herold