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Record W900043438

Enfragmo: A System for Grounding Extended First-Order Logic to SAT

2014· dissertation· en· W900043438 on OpenAlexfundno aff
Amir Aavani

Bibliographic record

VenueSummit (Simon Fraser University) · 2014
Typedissertation
Languageen
FieldComputer Science
TopicLogic, Reasoning, and Knowledge
Canadian institutionsnot available
FundersSimon Fraser University
KeywordsComputer scienceConstraint programmingSolverAxiomTheoretical computer scienceLogic programmingProgramming languageMathematical optimizationMathematics
DOInot available

Abstract

fetched live from OpenAlex

Computationally hard search and optimization problems occur widely in engineering, business, science and logistics, in domains ranging from hardware and software design and verification, to drug design, planning and scheduling. Most of these problems are NP-complete, so no known polynomial-time algorithms exist. Usually, the available solution for a user facing such problems involves mathematical programming for example, integer-linear programming tools, constraint logic programming tools and development of custom-designed implementations of algorithms for solving NP-hard problems. Successful use of these approaches normally requires a deep knowledge of programming, and is often time consuming. Another approach to attack NP search problems is to utilize the knowledge of users to produce precise descriptions of the (search) problem in a declarative specification or modelling language. A solver then takes a specification, together with an instance of the problem, and produces a solution to the problem, if there is any. Model expansion (MX), the logical task of expanding a given (mathematical) structure by new relations, is one of the well-studied directions of this approach. Formally, in MX, the user axiomatizes their problem in a language. This axiomatization describes the relationship between an instance of the problem (a given finite structure, i.e., a universe together with some relations and functions), and its solutions (certain expansions of that structure). This thesis presents the Enfragmo system for specifying and solving combinatorial search problems. Enfragmo takes a problem specification, in which the axioms are expressed in an extension of first-order logic, and a problem instance as its input and produces a propositional conjunctive normal form formula that is sent to a propositional satisfiability (SAT) solver. In this thesis, we describe several techniques that we have developed in order to build our well performing solver, Enfragmo.

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.

How this classification was reachedexpand

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 categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.890
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0010.001
Science and technology studies0.0010.000
Scholarly communication0.0000.000
Open science0.0020.000
Research integrity0.0010.000
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 head0.015
GPT teacher head0.229
Teacher spread0.215 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designNot applicable
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations3
Published2014
Admission routes1
Has abstractyes

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