References
Abrusci, V. M., ‘A comparison between Lambek Syntactic Calculus and Intuitionistic Linear Propositional Logic’, Zeitschrift f. math. Logik und Grundlagen d. Math. 36 (1990), 11-15.
Abrusci, V. M., ‘Non-commutative Intuitionistic Linear Logic’, Zeitschrift f. math. Logik und Grundlagen d. Math. 36 (1990), 297-318.
Abrusci, V. M., ‘Sequent calculus and phase semantics for pure noncommutative classical propositional logic’, Journal of Symbolic Logic, 56 (1991).
Abrusci, V. M., ‘Considerazioni sulle leggi della (doppia) negazione nella logica lineare non-commutativa’, in Logica e Filosofia della Scienza: problemi e prospettive, Cellucci, Di Maio, Roncaglia (eds.), ETS, Pisa, 1994, pp. 619-628
Abrusci, V. M., ‘Lambek Calculus, Cyclic Multiplicative-Additive Linear Logic, Noncommutative Multiplicative-Additive Linear Logic: language and sequent calculus'.
Abrusci, V. M., and P. Ruet, ‘Non-commutative logic, I: the multiplicative fragment’, Annals of Pure and Applied Logic 101 (2000), 29-64.
Girard, J.-Y., ‘Linear Logic’, Theor. Comput. Sci., 50 (1987), 1-102.
Lamarche, F., ‘Games semantics for full propositional linear logic’, LICS'95, 464-473
Lambek, J., ‘The mathematics of sentence structure’, American Math. Monthly, 65 (1958), 154-169.
Lambek, J., ‘Bilinear Logic in algebra and linguistics’, in Advances in Linear Logic, Girard, Lafont, Regnier (eds.), LMSLNS 222, Cambridge University press, 1995.
Ruet, P., ‘Non-commutative Logic, II: sequent calculus and phase semantics’, Math. Struct. in Comp. Sciences, 10 (2000), 277-312.
Yetter, D.N., ‘Quantales and non-commutative linear logic’, Journal of Symbolic Logic 55 (1990), 41-64
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Abrusci, V.M. Classical Conservative Extensions of Lambek Calculus. Studia Logica 71, 277–314 (2002). https://doi.org/10.1023/A:1020560613199
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DOI: https://doi.org/10.1023/A:1020560613199