Logic in Computer Science (LICS 1991)

Paper: A foundational delineation of computational feasibility (at LICS 1991)

Authors: Daniel Leviant

Abstract

A principle directly pertinent to feasibility, which justifies the identification of P-time with feasible computing, is proposed. It is shown that the computable functions justified on the basis of positive quantifier-free comprehension are precisely the functions computable in deterministic polynomial time. This shows that the class P-time arises naturally from a foundational analysis of feasibility, and that terms using exponentiation can be justified as meaningful only under the admission of infinite sets as completed totalities

BibTeX

  @InProceedings{Leviant-Afoundationaldeline,
    author = 	 {Daniel Leviant},
    title = 	 {A foundational delineation of computational feasibility},
    booktitle =  {Proceedings of the Sixth Annual IEEE Symp. on Logic in Computer Science, {LICS} 1991},
    year =	 1991,
    editor =	 {Giles Kahn},
    month =	 {July}, 
    pages =      {2--11},
    location =   {Amsterdam, The Netherlands}, 
    publisher =	 {IEEE Computer Society Press}
  }