Sequent Calculus for Intuitionistic Linear Propositional Logic
暂无分享,去创建一个
Classical linear logic and its phase semantics have been introduced in [GIRARD,1987], with the proof that the sequent calculus for classical linear propositional logic is complete and sound w.r. to the validity in every topolinear space. [GIRARDLAFONT,1987] gives a formulation, but not the semantics, of the sequent calculus for the intuitionistic linear propositional logic.
[1] Hiroakira Ono,et al. Logics without the contraction rule , 1985, Journal of Symbolic Logic.
[2] Jean-Yves Girard,et al. Linear Logic , 1987, Theor. Comput. Sci..
[3] Avron Arnon. The semantics and proof theory of linear logic , 1988 .
[4] V. N. Grisin. PREDICATE AND SET-THEORETIC CALCULI BASED ON LOGIC WITHOUT CONTRACTIONS , 1982 .
[5] Jean-Yves Girard,et al. Linear Logic and Lazy Computation , 1987, TAPSOFT, Vol.2.