Sch¨utzenberger hierarchy of regular languages and algorithms for testing low levels of hierarchy
We discuss deterministic finite automata and their syntactic monoids. We provide examples of finitely generated monoids with two generators that exhibit polynomial growth in the number of elements.
M. Ya. Novikov, N. I. Krainiukov
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
Circular Languages Generated by Complete Splicing Systems and Pure Unitary Languages [PDF]
Circular splicing systems are a formal model of a generative mechanism of circular words, inspired by a recombinant behaviour of circular DNA.
Paola Bonizzoni +2 more
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Emerging experimental and computational methods for studying redox‐regulated structural transitions
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass +2 more
wiley +1 more source
An Automata Theoretic Approach to the Zero-One Law for Regular Languages: Algorithmic and Logical Aspects [PDF]
A zero-one language L is a regular language whose asymptotic probability converges to either zero or one. In this case, we say that L obeys the zero-one law.
Ryoma Sin'ya
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Regular component decomposition of regular languages
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Syntactic structures of regular languages [PDF]
We introduce here the notion of syntactic lattice algebra which is an analogy of the syntactic monoid and of the syntactic semiring. We present a unified approach to get those three structures.
Ondrej Klíma 0001, Libor Polák
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Prospecting the protein design landscape
This review outlines the current state of various protein design approaches. We discuss the current possibilities enabled by recently released tools, highlight future avenues to pursue in protein design, and underscore the crucial role of key databases and resources for successful protein design workflows.
Jakob R. Riccabona +4 more
wiley +1 more source
Recognizable Hexagonal Picture Languages and xyz domino tiles
In the paper "Hexagonal Pattern Languages" K S Dersanambika et.al. define xyz- domino systems and characterized hexagonal pictures using this. Here we define xyz local hexagonal picture languages where the usual notion of hexagonal tiles of size (2, 2, 2 ...
Anitha Pancratius +1 more
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Regular realizability problems and regular languages
We investigate regular realizability (RR) problems, which are the problems of verifying whether intersection of a regular language -- the input of the problem -- and fixed language called filter is non-empty. We consider two kind of problems depending on representation of regular language. If a regular language on input is represented by a DFA, then we
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