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Record W4414988709 · doi:10.1145/3763096

Qualified Types with Boolean Algebras

2025· article· en· W4414988709 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueProceedings of the ACM on Programming Languages · 2025
Typearticle
Languageen
FieldComputer Science
TopicLogic, programming, and type systems
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsType (biology)Stone's representation theorem for Boolean algebrasTwo-element Boolean algebraComplete Boolean algebraBoolean algebraBoolean expressionAlgebra over a fieldDomain (mathematical analysis)

Abstract

fetched live from OpenAlex

We propose type qualifiers based on Boolean algebras. Traditional type systems with type qualifiers have been based on lattices, but lattices lack the ability to express exclusion . We argue that Boolean algebras, which permit exclusion, are a practical and useful choice of domain for qualifiers. In this paper, we present a calculus System F <:B that extends System F <: with type qualifiers over Boolean algebras and has support for negation, qualifier polymorphism, and subqualification. We illustrate how System F <:B can be used as a design recipe for a type and effect system, System F <:BE , with effect polymorphism, subeffecting, and polymorphic effect exclusion. We use System F <:BE to establish formal foundations of the type and effect system of the Flix programming language. We also pinpoint and implement a practical form of subeffecting: abstraction-site subeffecting. Experimental results show that abstraction-site subeffecting allows us to eliminate all effect upcasts present in the current Flix Standard Library.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.592
Threshold uncertainty score0.575

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0030.001
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.014
GPT teacher head0.265
Teacher spread0.251 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it