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Some Combinatorial Operators in Language Theory

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Jean-Gabriel Luque, Ludovic Mignot, Florent Nicart

Formal Languages and Automata Theory · Submitted 15 May 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This leads to a combinatorial description of already known results as well as new results on compositions, actions and enumerations.

how it is stated · asserted 1.00 read the record →

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arXiv ID1205.3371 (version 1)
Pith IDKNQTADY3, Pith's permanent record of this paper and its review
CitationFlorent Nicart, Jean-Gabriel Luque, Ludovic Mignot. "Some Combinatorial Operators in Language Theory." arXiv:1205.3371 (2012). https://pith.science/paper/KNQTADY3
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,909 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.05 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.37 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Multitildes are regular operators that were introduced by Caron et al. in order to increase the number of Glushkov automata. In this paper, we study the family of the multitilde operators from an algebraic point of view using the notion of operad. This leads to a combinatorial description of already known results as well as new results on compositions, actions and enumerations.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Multitildes are regular operators that were introduced by Caron et al. in order to increase the number of Glushkov automata. background 1.00 0.04 0.03 asserted 1.00
s1 In this paper, we study the family of the multitilde operators from an algebraic point of view using the notion of operad. contribution 0.92 0.84 0.09 asserted 0.98
s2 This leads to a combinatorial description of already known results as well as new results on compositions, actions and enumerations. result 0.85 0.86 0.61 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.98.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Multitildes are regular operators that were introduced by Caron et al. in order to increase the number of Glushkov automata. In this paper, we study the family of the multitilde operators from an algebraic point of view using the notion of operad. This leads to a combinatorial description of already known results as well as new results on compositions, actions and enumerations.

Human review

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How the literature uses it

1 arXiv paper cite this in 16 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 14 sentences without a confident label

Compares with it 1 paper
  • The purpose of this section is to show that the restriction of the action to (simple) multi-tildes is compatible with the action described in [ref] .

    Operads, quasiorders, and regular languages · Back to (simple) multi-tildes · 0.95

Cites it as background 1 paper

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