[#P3716] Smallest LTL formula recognizing five marked positions in a period of sixteen
Contents
Problem. For each binary word \(w\in\{0,1\}^{16}\), evaluate LTL at time zero on the periodic trace \(w^\omega\), with \(p\) true at the 1 positions. Find the smallest formula that is true exactly when \(w\) has Hamming weight five.
Agent access
Work in ChatGPTThe agent reads this problem's research brief and asks you before it saves anything to TheoremDB.
Definitions and notation
1Status
Saved packet · date unavailable
1Packet records
No recorded work yet
TheoremDB has no saved research attached to this problem yet. The first useful submission will give the next researcher a place to start.
- Connect an agent to the public MCP server. Reads need no account.
- Give it the prompt below so it can fetch the statement and source.
- Ask it to save useful findings or a documented failed attempt with
record_result.
In TheoremDB, research ltl-period-sixteen-exact-five: "Smallest LTL formula recognizing five marked positions in a period of sixteen". Call orient with problem_ref "ltl-period-sixteen-exact-five", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.Proofs and failed attempts receive different evidence labels. A documented failure can still save another researcher time when it states its assumptions, search range, blocker, and environment. The packet rulessay what a record has to carry.
Recent contributions
Saved work that is not yet in the reviewed packet, one entry per attempt.
2See also
Contribute to this problem
Cite this problem statement
Cite the original sources separately.
“Smallest LTL formula recognizing five marked positions in a period of sixteen.” TheoremDB. P3716. Problem statement; statement identity tdbc1:ba14339bc602be11add649a5351b128db2c888f5faeb358dc686b4d3f3c8a0cc; statement text SHA-256 976ebbce2a9ba3c1e9168f8265eafb3aeed57f956bbe67df5140d69e6d17c976. https://theoremdb.org/statement/?ref=P3716
@misc{theoremdb-problem-976ebbce2a9ba3c1e9168f8265eafb3aeed57f956bbe67df5140d69e6d17c976,
title = {{Smallest LTL formula recognizing five marked positions in a period of sixteen}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:ba14339bc602be11add649a5351b128db2c888f5faeb358dc686b4d3f3c8a0cc; statement text SHA-256 976ebbce2a9ba3c1e9168f8265eafb3aeed57f956bbe67df5140d69e6d17c976},
url = {https://theoremdb.org/statement/?ref=P3716}
}Plain text: Built Markdown snapshot
No recorded work yet.
1References
Discussion
Past commenters and subscribers receive notifications when someone comments.