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The Complexity of Linear Logic with Weakening

Published online by Cambridge University Press:  31 March 2017

Alasdair Urquhart
Affiliation:
University of Toronto, Toronto
Samuel R. Buss
Affiliation:
University of California, San Diego
Petr Hájek
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Pavel Pudlák
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '98 , pp. 500 - 515
Publisher: Cambridge University Press
Print publication year: 2000

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References

1. Anderson, A.R., Belnap, N.D.Jr. Entailment: The Logic of Relevance and Necessity, Vol. 1. Princeton University Press, New Jersey, 1975.
2. Cox, D., Little, J. O'Shea, D.,: Ideals, Varieties, and Algorithms. Springer Verlag, 1992.
3. Fischer, P.C. Meyer, A.R. Rosenberg, A.L.: Counter machines and counter languages. Mathematical Systems Theory 2 (1968), 265-283.Google Scholar
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5. Kopylov, A.P.: Decidability of linear affine logic. In Proceedings of the 10th annual IEEE Symposium on Logic in Computer Science. IEEE Computer Society Press, 1995.
6. Lafont, Y.,: The finite model property for various fragments of linear logic. Journal of Symbolic Logic, 62 (1997), 1202–1208.Google Scholar
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10. Rackoff, C.: The covering and boundedness problems for vector addition systems. Theoretical Computer Science, 6 (1978), 223–231.Google Scholar
11. Troelstra, A.S.: Lectures on Linear Logic. CSLI, Menlo Park, California, 1992.
12. Urquhart, A.: The complexity of decision procedures in relevance logic. In Truth or Consequences: Essays in honour of Nuel Belnap, ed. Dunn and Gupta, 61-76. Kluwer, Dordrecht, 1990.Google Scholar
13. Urquhart, A.,: The complexity of decision procedures in relevance logics II. Forthcoming,Journal of Symbolic Logic.
14. Wegener, I.: The Complexity of Boolean Functions. B.G., Teubner, Stuttgart; John Wiley and Sons, Chichester 1987.

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