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Record W2889830614

Modal and Relevance Logics for Qualitative Spatial Reasoning

2018· dissertation· en· W2889830614 on OpenAlexfundno aff
Pranab kumar Ghosh

Bibliographic record

VenueBrock University Digital Repository (Brock University) · 2018
Typedissertation
Languageen
FieldComputer Science
TopicLogic, Reasoning, and Knowledge
Canadian institutionsnot available
FundersBrock University
KeywordsRelevance (law)ModalComputer scienceQualitative reasoningEpistemologyArtificial intelligenceCognitive sciencePsychologyPhilosophyPolitical scienceMaterials science
DOInot available

Abstract

fetched live from OpenAlex

Qualitative Spatial Reasoning (QSR) is an alternative technique to represent spatial relations
\nwithout using numbers. Regions and their relationships are used as qualitative terms. Mostly
\npeer qualitative spatial reasonings has two aspect: (a) the first aspect is based on inclusion
\nand it focuses on the ”part-of” relationship. This aspect is mathematically covered by
\nmereology. (b) the second aspect focuses on topological nature, i.e., whether they are in
\n”contact” without having a common part. Mereotopology is a mathematical theory that
\ncovers these two aspects.
\nThe theoretical aspect of this thesis is to use classical propositional logic with non-classical
\nrelevance logic to obtain a logic capable of reasoning about Boolean algebras i.e., the
\nmereological aspect of QSR. Then, we extended the logic further by adding modal logic
\noperators in order to reason about topological contact i.e., the topological aspect of QSR.
\nThus, we name this logic Modal Relevance Logic (MRL). We have provided a natural
\ndeduction system for this logic by defining inference rules for the operators and constants
\nused in our (MRL) logic and shown that our system is correct. Furthermore, we have used
\nthe functional programming language and interactive theorem prover Coq to implement
\nthe definitions and natural deduction rules in order to provide an interactive system for
\nreasoning in the logic.

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: Not applicable
GenreCandidate signal: Other · Consensus signal: none
Teacher disagreement score0.563
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 communication0.0000.002
Open science0.0020.001
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 head0.014
GPT teacher head0.231
Teacher spread0.217 · 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
GenreOther

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

Citations0
Published2018
Admission routes1
Has abstractyes

Explore more

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