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Partial Orders, Residuation, and First-Order Linear Logic
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cs.LOcs.CLmath.LO
keywords
linearorderpartialconstraintsfirst-orderlogicsequentwill
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We will investigate proof-theoretic and linguistic aspects of first-order linear logic. We will show that adding partial order constraints in such a way that each sequent defines a unique linear order on the antecedent formulas of a sequent allows us to define many useful logical operators. In addition, the partial order constraints improve the efficiency of proof search.
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