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We present upper and lower bounds of the computational complexity of the two-way communication model of multiple-prover quantum interactive proof systems whose verifiers are limited to measure-many two-way quantum finite automata. We prove…

Quantum Physics · Physics 2015-08-25 Tomoyuki Yamakami

We describe a general method for verifying inequalities between real-valued expressions, especially the kinds of straightforward inferences that arise in interactive theorem proving. In contrast to approaches that aim to be complete with…

Mathematical Software · Computer Science 2016-01-05 Jeremy Avigad , Robert Y. Lewis , Cody Roux

Designing protocols enhancing cooperation for multi-agent systems remains a grand challenge. Cheap talk, defined as costless, non-binding communication before formal action, serves as a pivotal solution. However, existing theoretical…

Multiagent Systems · Computer Science 2026-03-03 Zhao Song , Chen Shen , Zhen Wang , The Anh Han

Concurrent multi-player mean-payoff games are important models for systems of agents with individual, non-dichotomous preferences. Whilst these games have been extensively studied in terms of their equilibria in non-cooperative settings,…

Computer Science and Game Theory · Computer Science 2023-11-28 Julian Gutierrez , Anthony W. Lin , Muhammad Najib , Thomas Steeples , Michael Wooldridge

We propose a logic of interactive proofs as a framework for an intuitionistic foundation for interactive computation, which we construct via an interactive analog of the Goedel-McKinsey-Tarski-Artemov definition of Intuitionistic Logic as…

Logic in Computer Science · Computer Science 2017-08-09 Simon Kramer

In multi-prover interactive proofs, the verifier interrogates the provers and attempts to steal their knowledge. Other than that, the verifier's role has not been studied. We have discovered that the verifier plays a much more important…

Quantum Physics · Physics 2019-02-01 Claude Crépeau , Nan Yang

Cooperative interval games are a generalized model of cooperative games in which the worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of…

Optimization and Control · Mathematics 2018-07-26 Jan Bok , Milan Hladík

This paper develops a game-theoretic framework for the design and analysis of a new class of incentive schemes called intervention schemes. We formulate intervention games, propose a solution concept of intervention equilibrium, and prove…

Computer Science and Game Theory · Computer Science 2015-03-17 Jaeok Park , Mihaela van der Schaar

Game semantics extends the Curry-Howard isomorphism to a three-way correspondence: proofs, programs, strategies. But the universe of strategies goes beyond intuitionistic logics and lambda calculus, to capture stateful programs. In this…

Logic in Computer Science · Computer Science 2013-07-09 Martin Churchill , Jim Laird , Guy McCusker

In complexity theory, gap-preserving reductions play a crucial role in studying hardness of approximation and in analyzing the relative complexity of multiprover interactive proof systems. In the quantum setting, multiprover interactive…

Quantum Physics · Physics 2025-09-01 Laura Mančinska , Pieter Spaas , Taro Spirig , Matthijs Vernooij

Secure multi-party computation (MPC) is a general cryptographic technique that allows distrusting parties to compute a function of their individual inputs, while only revealing the output of the function. It has found applications in areas…

Logic in Computer Science · Computer Science 2019-12-18 Helene Haagh , Aleksandr Karbyshev , Sabine Oechsner , Bas Spitters , Pierre-Yves Strub

Data attribution methods aim to answer useful counterfactual questions like "what would a ML model's prediction be if it were trained on a different dataset?" However, estimation of data attribution models through techniques like empirical…

Machine Learning · Computer Science 2025-08-19 Ari Karchmer , Martin Pawelczyk , Seth Neel

This work presents a requirement analysis for collaborative dialogues among medical experts and an inquiry dialogue game based on this analysis for incorporating explainability into multiagent system design. The game allows experts with…

Multiagent Systems · Computer Science 2025-11-04 Qurat-ul-ain Shaheen , Katarzyna Budzynska , Carles Sierra

This paper gives the first formal treatment of a quantum analogue of multi-prover interactive proof systems. It is proved that the class of languages having quantum multi-prover interactive proof systems is necessarily contained in NEXP,…

Computational Complexity · Computer Science 2007-05-23 Hirotada Kobayashi , Keiji Matsumoto

Many techniques for the automated verification of distributed protocols have been developed over the past several years, but their performance is still unpredictable and their failure modes can be opaque for industrial scale verification…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 William Schultz , Edward Ashton , Heidi Howard , Stavros Tripakis

This work initiates an analysis of several cryptographic protocols from a rational point of view using a game-theoretical approach, which allows us to represent not only the protocols but also possible misbehaviours of parties. Concretely,…

Cryptography and Security · Computer Science 2015-03-17 P. Caballero-Gil , C. Hernández-Goya , C. Bruno-Castañeda

Following an early work of Dwork and Stockmeyer on interactive proof systems whose verifiers are two-way probabilistic finite automata, the authors initiated in 2004 a study on the computational power of quantum interactive proof systems…

Quantum Physics · Physics 2015-08-25 Harumichi Nishimura , Tomoyuki Yamakami

A repeated game is an effective tool to model interactions and conflicts for players aiming to achieve their objectives in a long-term basis. Contrary to static noncooperative games that model an interaction among players in only one…

Computer Science and Game Theory · Computer Science 2015-01-14 Dinh Thai Hoang , Xiao Lu , Dusit Niyato , Ping Wang , Zhu Han

The widely held belief that BQP strictly contains BPP raises fundamental questions: if we cannot efficiently compute predictions for the behavior of quantum systems, how can we test their behavior? In other words, is quantum mechanics…

Quantum Physics · Physics 2017-04-17 Dorit Aharonov , Michael Ben-Or , Elad Eban , Urmila Mahadev

In multi-prover interactive proofs (MIPs), the verifier is usually non-adaptive. This stems from an implicit problem which we call ``contamination'' by the verifier. We make explicit the verifier contamination problem, and identify a…

Quantum Physics · Physics 2019-03-19 Claude Crépeau , Nan Yang