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We consider a logic used to describe sets of configurations of distributed systems, whose network topologies can be changed at runtime, by reconfiguration programs. The logic uses inductive definitions to describe networks with an unbounded…

计算机科学中的逻辑 · 计算机科学 2022-04-27 Marius Bozga , Lucas Bueri , Radu Iosif

We establish several independent results concerning extremal, left modular, congruence uniform, and semidistributive lattices. An equivalent characterization of left modular lattices is obtained in terms of edge-labellings, together with…

组合数学 · 数学 2025-12-01 Adrien Segovia

While discounted payoff games and classic games that reduce to them, like parity and mean-payoff games, are symmetric, their solutions are not. We have taken a fresh view on the properties that optimal solutions need to have, and devised a…

数据结构与算法 · 计算机科学 2026-03-11 Daniele Dell'Erba , Arthur Dumas , Sven Schewe

In this paper, we develop a game-theoretic account of concurrent separation logic. To every execution trace of the Code confronted to the Environment, we associate a specification game where Eve plays for the Code, and Adam for the…

计算机科学中的逻辑 · 计算机科学 2017-10-09 Paul-André Melliès , Léo Stefanesco

This survey article describes a method for choosing uniformly at random from any finite set whose objects can be viewed as constituting a distributive lattice. The method is based on ideas of the author and David Wilson for using ``coupling…

组合数学 · 数学 2007-05-23 James Propp

This paper addresses the longstanding problem of determining the structure of the $\leq_{\mathrm{LT}}$-order in the Effective Topos, known to effectively embed the Turing degrees. In a surprising discovery, we show that the…

逻辑 · 数学 2026-02-10 Takayuki Kihara , Ming Ng

We construct a model of strategic imitation in an arbitrary network of players who interact through an additive game. Assuming a discrete time update, we show a condition under which the resulting difference equations converge to consensus.…

动力系统 · 数学 2019-04-15 Christopher Griffin , Sarah Rajtmajer , Anna Squicciarini , Andrew Belmonte

In a finite distributive lattice $\L$ we define two functions $s(\alpha)=|\{\delta \in \mathcal{L} | \delta \leq \alpha \}|$ and $l(\alpha)=|\{\delta \in \mathcal{L} | \delta \geq \alpha \}|$. In this present article we prove that the sum…

组合数学 · 数学 2014-03-26 Himadri Mukherjee

Safe and economic operation of networked systems is often challenging. Optimization-based schemes are frequently considered, since they achieve near-optimality while ensuring safety via the explicit consideration of constraints. In…

最优化与控制 · 数学 2024-01-30 Alexander Engelmann , Maisa B. Bandeira , Timm Faulwasser

We study the extent to which it is possible to approximate the optimal value of a Unique Games instance in Fixed-Point Logic with Counting (FPC). Formally, we prove lower bounds against the accuracy of FPC-interpretations that map Unique…

计算机科学中的逻辑 · 计算机科学 2024-08-07 Jamie Tucker-Foltz

We study strategic interaction in data-driven games where players face uncertainty about payoff distributions inferred from finite samples. To model calibrated attitudes toward such uncertainty, we formulate distributionally robust games…

计算机科学与博弈论 · 计算机科学 2026-05-28 Bharat Gangwani , Arunesh Sinha

Many of our critical infrastructure systems and personal computing systems have a distributed computing systems structure. The incentives to attack them have been growing rapidly as has their attack surface due to increasing levels of…

We consider perfect-information reachability stochastic games for 2 players on infinite graphs. We identify a subclass of such games, and prove two interesting properties of it: first, Player Max always has optimal strategies in games from…

计算机科学与博弈论 · 计算机科学 2011-06-10 Václav Brožek

We give a self-contained and elementary proof for boundedness, existence, and uniqueness of solutions to dynamic programming principles (DPP) for biased tug-of-war games with running costs. The domain we work in is very general, and as a…

偏微分方程分析 · 数学 2013-07-19 Qing Liu , Armin Schikorra

A classic model to study strategic decision making in multi-agent systems is the normal-form game. This model can be generalised to allow for an infinite number of pure strategies leading to continuous games. Multi-objective normal-form…

计算机科学与博弈论 · 计算机科学 2023-03-02 Willem Röpke , Carla Groenland , Roxana Rădulescu , Ann Nowé , Diederik M. Roijers

We study symmetric bimatrix games that also have the common-payoff property, i.e., the two players receive the same payoff at any outcome of the game. Due to the symmetry property, these games are guaranteed to have symmetric Nash…

计算机科学与博弈论 · 计算机科学 2025-07-28 Abheek Ghosh , Alexandros Hollender

An alternating graph is a directed graph whose vertex set is partitioned into two classes, existential and universal. This forms the basic arena for a plethora of infinite duration two-player games where Player~$\square$ and~$\ocircle$…

数据结构与算法 · 计算机科学 2025-08-14 Carlo Comin , Romeo Rizzi

Absolute Universes of combinatorial games, as defined in a recent paper by the same authors, include many standard short normal- mis\`ere- and scoring-play monoids. In this note we show that the class is categorical, by extending Joyal's…

组合数学 · 数学 2016-09-12 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

Argumentation is one of the most popular approaches of defining a~non-monotonic formalism and several argumentation based semantics were proposed for defeasible logic programs. Recently, a new approach based on notions of conflict…

人工智能 · 计算机科学 2014-04-29 Jozef Frtús

Game semantics provides an interactive point of view on proofs, which enables one to describe precisely their dynamical behavior during cut elimination, by considering formulas as games on which proofs induce strategies. We are specifically…

计算机科学中的逻辑 · 计算机科学 2015-05-18 Samuel Mimram
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