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Many interesting and useful symbolic computation algorithms manipulate mathematical expressions in mathematically meaningful ways. Although these algorithms are commonplace in computer algebra systems, they can be surprisingly difficult to…

Logic in Computer Science · Computer Science 2019-05-07 Jacques Carette , William M. Farmer

We present a new approach to automated reasoning about higher-order programs by extending symbolic execution to use behavioral contracts as symbolic values, enabling symbolic approximation of higher-order behavior. Our approach is based on…

Programming Languages · Computer Science 2012-04-27 Sam Tobin-Hochstadt , David Van Horn

Taking symmetric extensions can be considered as a generalisation of forcing, which produces a richer multiverse of models with and without the axiom of choice. We can study the structure of this multiverse using modal logic. In particular,…

Logic · Mathematics 2026-05-08 Hope Duncan

This paper synthesizes a series of formal proofs to construct a unified theory on the logical limits of the Symbol Grounding Problem. We distinguish between internal meaning (sense), which formal systems can possess via axioms, and external…

Logic in Computer Science · Computer Science 2025-12-11 Zhangchi Liu

Interactive proof assistants make it possible for ordinary mathematicians to write definitions and theorems in a formal proof language, like a programming language, so that a computer can parse them and check them against the rules of a…

History and Overview · Mathematics 2024-11-20 Jeremy Avigad , Johan Commelin , Heather Macbeth , Adam Topaz

The given paper considered a generalized model representation of the software system "Instrumental complex for ontological engineering purpose". Represented complete software system development process. Developed relevant formal models of…

Software Engineering · Computer Science 2022-01-04 A. V. Palagin , N. G. Petrenko , V. Yu. Velychko , K. S. Malakhov

It is next to impossible to develop real-life applications in just pure Prolog. With XPCE we realised a mechanism for integrating Prolog with an external object-oriented system that turns this OO system into a natural extension to Prolog.…

Software Engineering · Computer Science 2007-05-23 Jan Wielemaker , Anjo Anjewierden

We present an approach to program reasoning which inserts between a program and its verification conditions an additional layer, the denotation of the program expressed in a declarative form. The program is first translated into its…

Logic in Computer Science · Computer Science 2012-02-23 Wolfgang Schreiner

In this extended abstract, we propose Structured Production Systems (SPS), which extend traditional production systems with well-formed syntactic structures. Due to the richness of structures, structured production systems significantly…

Artificial Intelligence · Computer Science 2017-04-27 Yi Zhou

We propose active object languages as a development tool for formal system models of distributed systems. Additionally to a formalization based on a term rewriting system, we use established Software Engineering concepts, including software…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-08 Eduard Kamburjan , Reiner Hähnle

We present the concept of a unified graphical environment for expressing the semantics of control systems. The graphical control system design environment in Simulink already allows engineers to insert a variety of assertions aimed the…

Systems and Control · Computer Science 2011-08-23 Timothy Wang , Romain Jobredeaux , E. Feron

In multi-agent systems, the agents may have goals that depend on a social, shared interpretation about the facts occurring in the system. These are the so-called social goals. Artificial institutions provide such a social interpretation by…

Multiagent Systems · Computer Science 2021-05-04 Rafhael R. Cunha , Jomi Fred Hübner , Maiquel de Brito

We define an extension of lambda-calculus with dependents types that enables us to encode transparent and opaque probabilistic programs and prove a strong normalisation result for it by a reducibility technique. While transparent…

Logic in Computer Science · Computer Science 2026-03-10 Francesco A. Genco

Individuals with upper limb movement limitations face challenges in interacting with others. Although robotic arms are currently used primarily for functional tasks, there is considerable potential to explore ways to enhance users' body…

Communication fabrics play a key role in the correctness and performance of modern multi-core processors and systems-on-chip. To enable formal verification, a recent trend is to use high-level micro-architectural models to capture…

Hardware Architecture · Computer Science 2013-05-01 Bernard van Gastel , Julien Schmaltz

We examine the practicality for a user of using Answer Set Programming (ASP) for representing logical formalisms. We choose as an example a formalism aiming at capturing causal explanations from causal information. We provide an…

Artificial Intelligence · Computer Science 2010-12-06 Yves Moinard

Rewriting logic is both a flexible semantic framework within which widely different concurrent systems can be naturally specified and a logical framework in which widely different logics can be specified. Maude programs are exactly rewrite…

Logic in Computer Science · Computer Science 2019-10-21 Francisco Durán , Steven Eker , Santiago Escobar , Narciso Martí-Oliet , José Meseguer , Rubén Rubio , Carolyn Talcott

The rules associated with propositional logic programs and the stable model semantics are not expressive enough to let one write concise programs. This problem is alleviated by introducing some new types of propositional rules. Together…

Logic in Computer Science · Computer Science 2007-05-23 Patrik Simons

Robotic systems that are intended to augment human capabilities commonly require the use of semi-autonomous control and artificial sensing, while at the same time aiming to empower the user to make decisions and take actions. This work…

Robotics · Computer Science 2023-11-01 Shivani Guptasarma , Monroe Kennedy

We consider distributed algorithms in the realistic scenario where distributed message passing is operated via circuits. We show that within this setting, modal substitution calculus MSC captures the expressive power of circuits. The…

Logic in Computer Science · Computer Science 2023-03-09 Veeti Ahvonen , Damian Heiman , Lauri Hella , Antti Kuusisto