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Proof assistants enable users to develop machine-checked proofs regarding software-related properties. Unfortunately, the interactive nature of these proof assistants imposes most of the proof burden on the user, making formal verification…

Software Engineering · Computer Science 2024-05-08 Pedro Carrott , Nuno Saavedra , Kyle Thompson , Sorin Lerner , João F. Ferreira , Emily First

Isabelle/PIDE has emerged over more than 10 years as the standard Prover IDE for interactive theorem proving in Isabelle. The well-established Archive of Formal Proofs (AFP) testifies the success of such applications of formalized…

Logic in Computer Science · Computer Science 2019-05-07 Makarius Wenzel

In an emerging computing paradigm, computational capabilities, from processing power to storage capacities, are offered to users over communication networks as a cloud-based service. There, demanding computations are outsourced in order to…

Symbolic Computation · Computer Science 2018-07-24 Jean-Guillaume Dumas

Reactive programs combine traditional sequential programming constructs with primitives to allow communication with other concurrent agents. They are ubiquitous in modern applications, ranging from components systems and web services, to…

Logic in Computer Science · Computer Science 2021-04-19 Simon Foster , Kangfeng Ye , Ana Cavalcanti , Jim Woodcock

We present the Crowbar tool, a deductive verification system for the ABS language. ABS models distributed systems with the Active Object concurrency model. Crowbar implements behavioral symbolic execution: each method is symbolically…

Logic in Computer Science · Computer Science 2022-02-14 Eduard Kamburjan , Marco Scaletta , Nils Rollshausen

From the dawn of civilization, people have used folktales and stories to share information and knowledge. After the invention of printing in the 15th century, technology provided helpful yet complicated utilities to exchange ideas. In the…

Human-Computer Interaction · Computer Science 2016-07-26 Bihter Avsar , Danial Esmaeili Aliabadi , Edris Esmaeili Aliabadi , Reza Yousefnezhad

Formally verifying the correctness of mathematical proofs is more accessible than ever, however, the learning curve remains steep for many of the state-of-the-art interactive theorem provers (ITP). Deriving the most appropriate subsequent…

Logic in Computer Science · Computer Science 2024-11-05 Liao Zhang , David M. Cerna , Cezary Kaliszyk

Modern separation logics allow one to prove rich properties of intricate code, e.g. functional correctness and linearizability of non-blocking concurrent code. However, this expressiveness leads to a complexity that makes these logics…

Programming Languages · Computer Science 2021-08-16 Felix A. Wolf , Malte Schwerhoff , Peter Müller

The study of interactive proofs in the context of distributed network computing is a novel topic, recently introduced by Kol, Oshman, and Saxena [PODC 2018]. In the spirit of sequential interactive proofs theory, we study the power of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-12 Pierluigi Crescenzi , Pierre Fraigniaud , Ami Paz

We give a new theoretical solution to a leading-edge experimental challenge, namely to the verification of quantum computations in the regime of high computational complexity. Our results are given in the language of quantum interactive…

Quantum Physics · Physics 2018-06-25 Anne Broadbent

Formal verification of neuro-symbolic cyber-physical systems, such as drones, medical devices and robots, is complicated. Neural components must be trained to be optimal with respect to the available data as well as the safety…

This paper presents Co-Arg, a new type of cognitive assistant to an intelligence analyst that enables the synergistic integration of analyst imagination and expertise, computer knowledge and critical reasoning, and crowd wisdom, to draw…

Artificial Intelligence · Computer Science 2018-10-04 Mihai Boicu , Dorin Marcu , Gheorghe Tecuci , Lou Kaiser , Chirag Uttamsingh , Navya Kalale

In this paper we consider quantum interactive proof systems, i.e., interactive proof systems in which the prover and verifier may perform quantum computations and exchange quantum messages. It is proved that every language in PSPACE has a…

Computational Complexity · Computer Science 2007-05-23 John Watrous

The Coq Platform is a continuously developed distribution of the Coq proof assistant together with commonly used libraries, plugins, and external tools useful in Coq-based formal verification projects. The Coq Platform enables reproducing…

Logic in Computer Science · Computer Science 2022-03-21 Karl Palmskog , Enrico Tassi , Théo Zimmermann

Interactive theorem provers (ITPs) are powerful tools for the formal verification of mathematical proofs down to the axiom level. However, their lack of a natural language interface remains a significant limitation. Recent advancements in…

Logic in Computer Science · Computer Science 2025-07-01 Xiaolin Hu , Qinghua Zhou , Bogdan Grechuk , Ivan Y. Tyukin

This paper presents Holbert: a work-in-progress pedagogical proof assistant and online textbook platform, aimed at the educational use-case, specifically for the teaching of programming language theory. Holbert allows proof exercises and…

Logic in Computer Science · Computer Science 2022-10-21 Liam O'Connor , Rayhana Amjad

We introduce a resource adaptive agent mechanism which supports the user in interactive theorem proving. The mechanism uses a two layered architecture of agent societies to suggest appropriate commands together with possible command…

Logic in Computer Science · Computer Science 2009-01-26 Christoph Benzmueller , Volker Sorge

This article explores the parallels between improvisational theater (Improv) and teaching in an Active Learning environment. It presents the notions of Active Teaching as a natural complement to Active Learning, and discusses how unexpected…

History and Overview · Mathematics 2020-04-17 Pedro Morales-Almazan

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

Programming Languages · Computer Science 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao
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