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Probabilistic proposals of Language of Thoughts (LoTs) can explain learning across different domains as statistical inference over a compositionally structured hypothesis space. While frameworks may differ on how a LoT may be implemented computationally, they all share the property that they are built from a set of atomic symbols and rules by which these symbols can be combined. In this work we propose an extra validation step for the set of atomic productions defined by the experimenter. It starts by expanding the defined LoT grammar for the cognitive domain with a broader set of arbitrary productions and then uses Bayesian inference to prune the productions from the experimental data. The result allows the researcher to validate that the resulting grammar still matches the intuitive grammar chosen for the domain. We then test this method in the language of geometry, a specific LoT model for geometrical sequence learning. Finally, despite the fact of the geometrical LoT not being a universal (i.e. Turing-complete) language, we show an empirical relation between a sequence's probability and its complexity consistent with the theoretical relationship for universal languages described by Levin's Coding Theorem.
This article was published in the following journal.
Name: PloS one
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Tests designed to assess language behavior and abilities. They include tests of vocabulary, comprehension, grammar and functional use of language, e.g., Development Sentence Scoring, Receptive-Expressive Emergent Language Scale, Parsons Language Sample, Utah Test of Language Development, Michigan Language Inventory and Verbal Language Development Scale, Illinois Test of Psycholinguistic Abilities, Northwestern Syntax Screening Test, Peabody Picture Vocabulary Test, Ammons Full-Range Picture Vocabulary Test, and Assessment of Children's Language Comprehension.
A reference book containing a list of words - usually in alphabetical order - giving information about form, pronunciation, etymology, grammar, and meaning. A foreign-language dictionary is an alphabetical list of words of one language with their meaning and equivalents in another language.
The study of literature in its widest sense, including grammar, etymology, criticism, literary history, language history, linguistic history, systems of writing, and anything else that is relevant to literature or language viewed as literature. Philology as a discipline has both philosophical and scientific overtones.
The study of ancient Greek and Roman literature, including grammar, etymology, criticism, literary history, and language and linguistic history.
The study of literature written in languages of Asia and the Far East, including grammar, etymology, criticism, literary history, and language and linguistic history.