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Finite Relation Algebras with Normal Representations

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Manuel Bodirsky

Logic in Computer Science · Submitted 31 Oct 2018

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

The authors' main claim The present article translates the recent findings into the traditional relation algebra setting, and points out a series of open problems at the interface between model theory and the theory of relation algebras.

how it is stated · asserted 1.00 read the record →

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arXiv ID1810.13335 (version 1)
Pith IDDTNYFW2U, Pith's permanent record of this paper and its review
CitationManuel Bodirsky. "Finite Relation Algebras with Normal Representations." arXiv:1810.13335 (2018). https://pith.science/paper/DTNYFW2U
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,142 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.32 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.55 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

One of the traditional applications of relation algebras is to provide a setting for infinite-domain constraint satisfaction problems. Complexity classification for these computational problems has been one of the major open research challenges of this application field. The past decade has brought significant progress on the theory of constraint satisfaction, both over finite and infinite domains. This progress has been achieved independently from the relation algebra approach. The present article translates the recent findings into the traditional relation algebra setting, and points out a series of open problems at the interface between model theory and the theory of relation algebras.

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 One of the traditional applications of relation algebras is to provide a setting for infinite-domain constraint satisfaction problems. background 1.00 0.04 0.03 asserted 1.00
s1 Complexity classification for these computational problems has been one of the major open research challenges of this application field. background 0.68 0.03 0.02 asserted 1.00
s2 The past decade has brought significant progress on the theory of constraint satisfaction, both over finite and infinite domains. background 1.00 0.04 0.03 asserted 1.00
s3 This progress has been achieved independently from the relation algebra approach. background 0.78 0.05 0.03 asserted 1.00
s4 The present article translates the recent findings into the traditional relation algebra setting, and points out a series of open problems at the interface between model theory and the theory of relation algebras. contribution 0.99 0.90 0.63 asserted 1.00

What kind of paper the classifier reports this is: position or commentary 0.75 · evidence from literature 0.66.

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

One of the traditional applications of relation algebras is to provide a setting for infinite-domain constraint satisfaction problems. Complexity classification for these computational problems has been one of the major open research challenges of this application field. The past decade has brought significant progress on the theory of constraint satisfaction, both over finite and infinite domains. This progress has been achieved independently from the relation algebra approach. The present article translates the recent findings into the traditional relation algebra setting, and points out a series of open problems at the interface between model theory and the theory of relation algebras.

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What this paper does with the arXiv papers it cites

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

What it cites · 11 sentences without a confident label

Cites as background 1 paper

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