PhilArchive
open access
Biologically Unavoidable Sequences
A biologically unavoidable sequence is an infinite gender sequence which occurs in every gendered, infinite genealogical network satisfying certain tame conditions. We show that every eventually periodic sequence is biologically unavoidable (this generalizes König's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Simultaneous avoidance of length-4 patterns in ascent sequences#1105001
- Global patterns in signed permutations#1110087
- On a Constraint on Invariant Measures of Certain Cellular Automata (Bi-Permutative and More)#1048628
- Enumerating Pattern-Avoiding Involutions using Combinatorial Exploration#927648
- Zero-Sum Cycles in Regular Digraphs#609673
Record · ID 115863
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive