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20222026
most citedSurreal fields stable under exponential, logarithmic, derivative and anti-derivative functions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

cs.GT2026

On Periodic and Aperiodic Optimal Strategies in Solvency Games

Quentin Guilmant, Florian Luca, Richard Mayr +2

Solvency games are a gambling problem on infinite-state Markov decision processes in which the state represents an investor's fortune. In every round, the invest…

cs.GT2025

(Un)Decidability of Two-Clock Weighted Timed Games

Quentin Guilmant, Joël Ouaknine, Isa Vialard +1

The Value Problem for weighted timed games consists in determining, given a two-player weighted timed game with a reachability objective and a rational threshold, whether or not th…

cs.LO2024

The 2-Dimensional Constraint Loop Problem is Decidable

Quentin Guilmant, Engel Lefaucheux, Joël Ouaknine +1

A linear constraint loop is specified by a system of linear inequalities that define the relation between the values of the program variables before and after a single execution of…

math.LO2022★ 1 cited

Surreal fields stable under exponential, logarithmic, derivative and anti-derivative functions

Olivier Bournez, Quentin Guilmant

The class of surreal numbers, denoted by , initially proposed by Conway, is a universal ordered field in the sense that any ordered field can be embedded in it. They i…

math.LO2022

Surreal fields stable under exponential and logarithmic functions

Olivier Bournez, Quentin Guilmant

Surreal numbers, have a very rich and elegant theory. This class of numbers, denoted by No, includes simultaneously the ordinal numbers and the real numbers, and forms a universal…