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Zero-determinant strategies are a class of strategies in repeated games which unilaterally control payoffs. Zero-determinant strategies have attracted much attention in studies of social dilemma, particularly in the context of evolution of…

Statistical Mechanics · Physics 2024-11-11 Masahiko Ueda

In many multiagent environments, a designer has some, but limited control over the game being played. In this paper, we formalize this by considering incompletely specified games, in which some entries of the payoff matrices can be chosen…

Computer Science and Game Theory · Computer Science 2021-04-30 Markus Brill , Rupert Freeman , Vincent Conitzer

In this paper we consider a fragment of the first-order theory of the real numbers that includes systems of equations of continuous functions in bounded domains, and for which all functions are computable in the sense that it is possible to…

Computational Complexity · Computer Science 2016-08-15 Peter Franek , Stefan Ratschan , Piotr Zgliczynski

Recursive calls over recursive data are useful for generating probability distributions, and probabilistic programming allows computations over these distributions to be expressed in a modular and intuitive way. Exact inference is also…

Programming Languages · Computer Science 2023-03-28 David Chiang , Colin McDonald , Chung-chieh Shan

Probabilistic properties of tennis scoring systems are examined and compared with best-of-K systems. A model, where each player has his/her own probability of winning his/her service point and which remains invariant for the duration of the…

Probability · Mathematics 2026-03-04 Edsel A. Pena , Dip Das , Yuexuan Wu

This paper addresses two central problems for probabilistic processing models: parameter estimation from incomplete data and efficient retrieval of most probable analyses. These questions have been answered satisfactorily only for…

cmp-lg · Computer Science 2007-05-23 Stefan Riezler

Probabilistic Logic Programming is an effective formalism for encoding problems characterized by uncertainty. Some of these problems may require the optimization of probability values subject to constraints among probability distributions…

Logic in Computer Science · Computer Science 2023-06-22 Damiano Azzolini , Fabrizio Riguzzi

Given a Markov decision process (MDP) $M$ and a formula $\Phi$, the strategy synthesis problem asks if there exists a strategy $\sigma$ s.t. the resulting Markov chain $M[\sigma]$ satisfies $\Phi$. This problem is known to be undecidable…

Logic in Computer Science · Computer Science 2022-05-02 Benjamin Bordais , Damien Busatto-Gaston , Shibashis Guha , Jean-François Raskin

The two main approaches to the study of irreducible representations of orders (via traces and Poisson orders) have so far been applied in a completely independent fashion. We define and study a natural compatibility relation between the two…

Representation Theory · Mathematics 2022-11-22 K. A. Brown , M. T. Yakimov

We study the problem of sequentially predicting properties of a probabilistic model and its next outcome over an infinite horizon, with the goal of ensuring that the predictions incur only finitely many errors with probability 1. We…

Statistics Theory · Mathematics 2024-02-08 Changlong Wu , Narayana Santhanam

We develop a denotational model for probabilistic and concurrent imperative programs, a class of programs with standard control flow via conditionals and while-loops, as well as probabilistic actions and parallel composition. Whereas…

Programming Languages · Computer Science 2025-06-10 Noam Zilberstein , Daniele Gorla , Alexandra Silva

We consider two algorithms which can be used for proving positivity of sequences that are defined by a linear recurrence equation with polynomial coefficients (P-finite sequences). Both algorithms have in common that while they do succeed…

Symbolic Computation · Computer Science 2010-05-05 Manuel Kauers , Veronika Pillwein

A large body of research is currently investigating on the connection between machine learning and game theory. In this work, game theory notions are injected into a preference learning framework. Specifically, a preference learning problem…

Machine Learning · Computer Science 2018-12-20 Mirko Polato , Fabio Aiolli

Constructive type theory combines logic and programming in one language. This is useful both for reasoning about programs written in type theory, as well as for reasoning about other programming languages inside type theory. It is…

Programming Languages · Computer Science 2024-10-25 Philipp Jan Andries Stassen , Rasmus Ejlers Møgelberg , Maaike Zwart , Alejandro Aguirre , Lars Birkedal

We study which standard operators of probabilistic process calculi allow for compositional reasoning with respect to bisimulation metric semantics. We argue that uniform continuity (generalizing the earlier proposed property of…

Logic in Computer Science · Computer Science 2019-03-14 Daniel Gebler , Kim G. Larsen , Simone Tini

We discuss the computational complexity and feasibility properties of scenario based techniques for uncertain optimization programs. We consider different solution alternatives ranging from the standard scenario approach to recursive…

Optimization and Control · Mathematics 2014-12-16 Nikolaos Kariotoglou , Kostas Margellos , John Lygeros

Probabilistic programming combines general computer programming, statistical inference, and formal semantics to help systems make decisions when facing uncertainty. Probabilistic programs are ubiquitous, including having a significant…

Logic in Computer Science · Computer Science 2024-09-30 Kangfeng Ye , Jim Woodcock , Simon Foster

We use modal logic as a framework for coalgebraic trace semantics, and show the flexibility of the approach with concrete examples such as the language semantics of weighted, alternating and tree automata, and the trace semantics of…

Logic in Computer Science · Computer Science 2019-03-14 Bartek Klin , Jurriaan Rot

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

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