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Record W4206073549 · doi:10.1002/047134608x.w1610.pub2

Boolean Functions

2007· other· en· W4206073549 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

VenueWiley Encyclopedia of Electrical and Electronics Engineering · 2007
Typeother
Languageen
FieldComputer Science
TopicHistory of Computing Technologies
Canadian institutionsUniversity of Saskatchewan
Fundersnot available
KeywordsBoolean expressionProduct termTwo-element Boolean algebraBoolean functionBoolean circuitBoolean algebraParity functionStandard Boolean modelAnd-inverter graphBoolean algebras canonically definedBoolean networkComplete Boolean algebraComputer scienceTheoretical computer scienceFree Boolean algebraAxiomCircuit minimization for Boolean functionsStone's representation theorem for Boolean algebrasCanonical normal formMathematicsAlgebra over a fieldAlgorithmAlgebra representationPure mathematics

Abstract

fetched live from OpenAlex

Abstract Boolean functions and the underlying Boolean algebra are an essential mathematical foundation of digital technology. Nearly all technological applications that involve representation, manipulation, communication, or storage of information are built on this foundation. Examples include computers; telecommunications networks; music, game, photography, and video devices; and control systems in a myriad of products such as automobiles, industrial equipment, and banking machines. Introduction History of Mathematical Development Definition of Boolean Algebra Language of Boolean Algebra Statements Axioms and Theorems Proofs Reduction Closed and Complete Additional Syntaxes and Omitted Parentheses Definition of Functions Cartesian Products and Boolean Cubes Functions of Truth Tables Canonical Representations ( SOP and POS ) Minimization Cycles of Canonical Representations Nested Logic Forms Logic Gates Switching Circuits Complements and Restrictions Data Structures for Boolean Functions Algorithms for Boolean Functions Classification of Boolean Functions Standard Boolean Functions Implementations of Boolean Functions Computer Aided Design State Machines

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)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.785
Threshold uncertainty score0.924

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
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 head0.004
GPT teacher head0.188
Teacher spread0.184 · 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