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We propose an automated procedure to prove polyhedral abstractions (also known as polyhedral reductions) for Petri nets. Polyhedral abstraction is a new type of state space equivalence, between Petri nets, based on the use of linear integer…

Logic in Computer Science · Computer Science 2026-04-08 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

Deciding termination is a fundamental problem in the analysis of probabilistic imperative programs. We consider the qualitative and quantitative probabilistic termination problems for an imperative programming model with discrete…

Logic in Computer Science · Computer Science 2024-07-25 Rupak Majumdar , V. R. Sathiyanarayana

One-counter nets (OCN) are Petri nets with exactly one unbounded place. They are equivalent to a subclass of one-counter automata with only a weak test for zero. We show that weak simulation preorder is decidable for OCN and that weak…

Formal Languages and Automata Theory · Computer Science 2014-06-17 Piotr Hofman , Richard Mayr , Patrick Totzke

In this note, we propose simple summations for primes, which involve two finite nested sums and Bernoulli numbers. The summations can also be expressed in terms of Bernoulli polynomials.

History and Overview · Mathematics 2023-03-20 Jean-Christophe Pain

In this paper, we study the effect of preferences in abstract argumentation under a claim-centric perspective. Recent work has revealed that semantical and computational properties can change when reasoning is performed on claim-level…

Artificial Intelligence · Computer Science 2022-04-29 Michael Bernreiter , Wolfgang Dvorak , Anna Rapberger , Stefan Woltran

Argumentation frameworks, consisting of arguments and an attack relation representing conflicts, are fundamental for formally studying reasoning under conflicting information. We use methods from mathematical logic, specifically…

Artificial Intelligence · Computer Science 2025-12-01 Uri Andrews , Luca San Mauro

Opponent modeling consists in modeling the strategy or preferences of an agent thanks to the data it provides. In the context of automated negotiation and with machine learning, it can result in an advantage so overwhelming that it may…

Artificial Intelligence · Computer Science 2017-01-02 Cédric Buron , Sylvain Ductor , Zahia Guessoum

Step net bisimilarity \cite{Gor23} is a truly concurrent behavioral equivalence for finite Petri nets, which is defined as a smooth generalization of standard step bisimilarity \cite{NT84} on Petri nets, but with the property of relating…

Logic in Computer Science · Computer Science 2023-01-31 Roberto Gorrieri

In this paper, we show that the derivability problem for the primal propositional logic remains solvable in polynomial time upon adding a certain form of the principle of equivalent form substitution; and that, upon adding another form of…

Logic · Mathematics 2020-12-01 Inga Lev

This paper examines the integration of computational complexity into game theoretic models. The example focused on is the Prisoner's Dilemma, repeated for a finite length of time. We show that a minimal bound on the players' computational…

Computer Science and Game Theory · Computer Science 2007-05-23 Yishay Mor , Jeffrey S. Rosenschein

Competitive debaters often find themselves facing a challenging task -- how to debate a topic they know very little about, with only minutes to prepare, and without access to books or the Internet? What they often do is rely on "first…

Computation and Language · Computer Science 2019-08-23 Yonatan Bilu , Ariel Gera , Daniel Hershcovich , Benjamin Sznajder , Dan Lahav , Guy Moshkowich , Anael Malet , Assaf Gavron , Noam Slonim

We study voting games on binary issues, where voters hold an objective over the outcome of the collective decision and are allowed, before the vote takes place, to negotiate their voting strategy with the other participants. We analyse the…

Computer Science and Game Theory · Computer Science 2017-01-10 Umberto Grandi , Davide Grossi , Paolo Turrini

In order to represent the preferences of a group of individuals, we introduce Probabilistic CP-nets (PCP-nets). PCP-nets provide a compact language for representing probability distributions over preference orderings. We argue that they are…

Artificial Intelligence · Computer Science 2013-09-27 Damien Bigot , Bruno Zanuttini , Helene Fargier , Jerome Mengin

We consider the computational complexity of a problem modeling bribery in the context of voting systems. In the scenario of Swap Bribery, each voter assigns a certain price for swapping the positions of two consecutive candidates in his…

Computational Complexity · Computer Science 2015-05-20 Britta Dorn , Ildikó Schlotter

The matter of the stability for multi-asset American option pricing problems is a present remaining challenge. In this paper a general transformation of variables allows to remove cross derivative terms reducing the stencil of the proposed…

Pricing of Securities · Quantitative Finance 2017-01-31 Rafael Company , Vera Egorova , Lucas Jódar , Fazlollah Soleymani

The AI4GCC competition presents a bold step forward in the direction of integrating machine learning with traditional economic policy analysis. Below, we highlight two potential areas for improvement that could enhance the competition's…

Artificial Intelligence · Computer Science 2023-08-11 Marco Jiralerspong , Gauthier Gidel

A wide range of constraints can be compactly specified using automata or formal languages. In a sequence of recent papers, we have shown that an effective means to reason with such specifications is to decompose them into primitive…

Artificial Intelligence · Computer Science 2009-03-04 Claude-Guy Quimper , Toby Walsh

We study an economic model where agents trade a variety of products by using one of three competing rules: "need", "greed" and "noise". We find that the optimal strategy for any agent depends on both product composition in the overall…

Other Condensed Matter · Physics 2009-11-10 R. Donangelo , A. Hansen , K. Sneppen , S. R. Souza

We consider a monopolistic seller in a market that may be segmented. The surplus of each consumer in a segment depends on the price that the seller optimally charges, which depends on the set of consumers in the segment. We study which…

Theoretical Economics · Economics 2022-10-25 Nima Haghpanah , Ron Siegel

We consider two-player games played on finite graphs equipped with costs on edges and introduce two winning conditions, cost-parity and cost-Streett, which require bounds on the cost between requests and their responses. Both conditions…

Logic in Computer Science · Computer Science 2015-07-01 Nathanaël Fijalkow , Martin Zimmermann