The Non-associative Lambek Calculus with Product in Polynomial Time
Author(s) -
Philippe de Groote
Publication year - 1999
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-66086-0
DOI - 10.1007/3-540-48754-9_14
Subject(s) - associative property , sequent calculus , sequent , p , natural deduction , calculus (dental) , computer science , product (mathematics) , cut elimination theorem , polynomial , algebra over a field , mathematics , algorithm , time complexity , proof calculus , pure mathematics , programming language , medicine , mathematical analysis , geometry , dentistry , mathematical proof
We prove, by introducing a new kind of sequent calculus, that the decision problem for the non-associative Lambek calculus with product belongs to PTIME. This solves an open prolem.
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