Kyle Burke

(he/they) Professor of Computer Science at Florida Southern College. Researcher: Computational Complexity and Combinatorial Game Theory. Interested in: Voting Systems, HPC + OOP, Magic: The Gathering.

Kyle Burke
CGTKyle@mathstodon.xyz

We got our first talk scheduled for #Sprouts2026! https://kyleburke.info/sprouts/sprouts2026/ I'm looking forward to receiving more proposals.

I've also been getting questions about writing #AIPlayers and updated the directions on that page. https://kyleburke.info/sprouts/sprouts2026/sprouts2026ComputerTournament.php (Some of the notes were about last year's game, whoops!)

#CombinatorialGames #UndergradResearch

February 14, 2026
Kyle Burke
CGTKyle@mathstodon.xyz

One of my students wrecked me in #FjordsGame today! #CombinatorialGames

February 13, 2026
Kyle Burke
CGTKyle@mathstodon.xyz

Now #BattleSheep against a student. #CombinatorialGames

February 06, 2026
Kyle Burke
CGTKyle@mathstodon.xyz

Student (black) has challenged me (white) to #FjordsGame.

February 06, 2026
Kyle Burke
CGTKyle@mathstodon.xyz

Played #BattleSheep and #CatLadyGame at #GameLunch today.

February 02, 2026
Kyle Burke
CGTKyle@mathstodon.xyz

This #BattleSheep board is even more cursed than the last one!

January 30, 2026
Kyle Burke
CGTKyle@mathstodon.xyz

A cursed #BattleSheep board. (We're practicing for #Sprouts2026)

January 26, 2026
Kyle Burke
CGTKyle@mathstodon.xyz

We have a date for #Sprouts2026: Saturday, April 11, 2026. Woo!

Sprouts is a #CombinatorialGames conference where undergrads give the contributed talks. Everyone can attend. Registration is free and we have great talks as well as human and computer tournaments.

This year we're playing #BattleSheep. Come join us at Sprouts! https://kyleburke.info/sprouts/sprouts2026/

#UndergradResearch

January 15, 2026
Kyle Burke
CGTKyle@mathstodon.xyz

#FjordsGame on the last #GameLunch of the semester. #CombinatorialGames (kinda)

December 08, 2025
Kyle Burke
CGTKyle@mathstodon.xyz

At #Integers2025 this spring, I collaborated with a new group and proved that Misere Partizan Arc Kayles is PSPACE-complete. That paper just went up on the arXiv: https://arxiv.org/abs/2511.21888

For that paper we implemented two new playable games: Misere Partizan Arc Kayles itself (https://kyleburke.info/DB/combGames/miserePartizanArcKayles.html) and a Normal-Play version of Bounded Constraint Logic (https://kyleburke.info/DB/combGames/normalBoundedConstraintLogic.html).

I'm especially excited about how clearly we talked about using Constraint Logic to provide computational hardness.

#CombinatorialGames #PSPACEComplete

December 04, 2025
Kyle Burke
CGTKyle@mathstodon.xyz
December 01, 2025
Kyle Burke
CGTKyle@mathstodon.xyz

On Monday, November 17, at 3:30pm ET, I get to give the next VCGT talk on the computational complexity of the game #BattleSheep: https://sites.google.com/view/virtual-cgt/seminar

Abstract: Battle Sheep is a board game published by Blue Orange Games where players take turns moving stacks of sheep tokens around a hexagonal board, always leaving at least one sheep behind. In this talk we'll learn the basics of the game, play once, and finally show that determining the winnability of the game is PSPACE-complete. This talk assumes no prior knowledge of computational complexity.

#CombinatorialGames #ComputationalComplexity #PSPACE

November 10, 2025
Kyle Burke
CGTKyle@mathstodon.xyz

#TsuroGame with students for #BoardGameLunch

November 10, 2025
Kyle Burke
CGTKyle@mathstodon.xyz

Long overdue: I added TwixT to my table of combinatorial games: https://kyleburke.info/rulesetTable.php#Twixt #CombinatorialGames

October 28, 2025