Geodesic
Recognition of derivability for the Lambek calculus with one division
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 59-62

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A polynomial algorithm for determination of derivability in the Lambek calculus with one division is described in the paper. 
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     author = {Yu. V. Savateev},
     title = {Recognition of derivability for the {Lambek} calculus with one division},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {59--62},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a11/}
}
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Yu. V. Savateev. Recognition of derivability for the Lambek calculus with one division. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 59-62. http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a11/