?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=A+Proposed+Mathematical+Theory+Explaining+Word+Order+Typology&rft.creator=Stepak%2C+Asa&rft.subject=Neurolinguistics&rft.subject=Computational+Linguistics&rft.subject=Cognitive+Psychology&rft.description=+++++In+this+paper+I+attempt+to+lay+the+groundwork+for+an+algorithm+that+measures+sentence+competency.%0A+++++Heretofore%2C+competency+of+sentences+was+determined+by+interviewing+speakers+of+the+language.+The+data+compiled+forms+the+basis+for+grammatical+rules+that+establish+the+generative+grammar+of+a+language.+However%2C+the+generative+grammar%2C+once+established%2C+does+not+filter+out+all+incompetent+sentences.+Chomsky+has+noted+that+there+are+many+sentences+that+are+grammatical+but+do+not+satisfy+the+notion+of+competency+and%2C+similarly%2C+many+non-grammatical+constructions+that+do.%0A++++++++I+propose+that+generative+grammar+constructions+as+well+as+formal+theory+frameworks+such+as+Transformational+Grammar%2C+Minimalist+Theory%2C+and+Government+and+Binding+do+not+represent+the+most+irreducible+component+of+a+language+that+determines+sentence+competency.+I+propose+a+Mathematical+Theory+governing+word+order+typology+that+explains+not+only+the+established+generative+grammar+rules+of+a+language+but%2C+also%2C+lays+the+groundwork+for+understanding+sentence+competency+in+terms+of+irreducible+components+that+has+not+been+accounted+for+in+previous+formal+theories.+I+have+done+so+by+relying+on+a+mathematical+analysis+of+word+frequency+relationships+based+upon+large%2C+representative+corpuses+that+represents+a+more+basic+component+of+sentence+construction+overlooked+by+current+text+processing+and+artificial+intelligence+parsing+systems+and+unaccounted+for+by+the+generative+grammar+rules+of+a+language.%0A%0A&rft.date=2003&rft.type=Other&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F2874%2F1%2FPaper2WordOrderTypology.pdf&rft.identifier=++Stepak%2C+Asa++(2003)+A+Proposed+Mathematical+Theory+Explaining+Word+Order+Typology.+++++(Unpublished)++&rft.relation=http%3A%2F%2Fcogprints.org%2F2874%2F