Sixth Annual IEEE Symposium on

Logic in Computer Science (LICS 1991)

Paper: Linearizing intuitionistic implication (at LICS 1991)

Authors: Patrick Lincoln Andre Scedrov Natarajan Shankar


An embedding of the implicational propositional intuitionistic logic (IIL) into the nonmodal fragment of intuitionistic linear logic (IMALL) is given. The embedding preserves cut-free proofs in a proof system that is a variant of IIL. The embedding is efficient and provides an alternative proof of the PSPACE-hardness of IMALL. It exploits several proof-theoretic properties of intuitionistic implication that analyze the use of resources in IIL proofs


    author = 	 {Patrick Lincoln and Andre Scedrov and Natarajan Shankar},
    title = 	 {Linearizing intuitionistic implication},
    booktitle =  {Proceedings of the Sixth Annual IEEE Symp. on Logic in Computer Science, {LICS} 1991},
    year =	 1991,
    editor =	 {Giles Kahn},
    month =	 {July}, 
    pages =      {51--62},
    location =   {Amsterdam, The Netherlands}, 
    publisher =	 {IEEE Computer Society Press}