1: Stochastic Interaction and Linear Logic 2: Patrick D. Lincoln John C. Mitchell Andre Scedrov 3: Abstract 4: We present stochastic interactive semantics for propositional linear 5: Logic without modalities. The framework is based on interactive 6: protocols considered in computational complexity theory, in which ........ 17:new tool in automated deduction. 18: A revised version appears in : "Advances in Linear Logic", ed. by J.-Y. Girard et 19:al., London Mathematical Society Lecture Notes Series, Volume 222, Cambridge University 20:Press, 1995, pp. 147-166. 21: lincoln@csl.sri.com SRI International Computer Science Laboratory,
Menlo Park 22:CA 94025 USA.
Work supported under NSF Grant CCR-9224858. 23: jcm@cs.stanford.edu http://theory.stanford.edu/people/jcm/home.html Department of Computer Science, Stanford University,
Supported in part 24:by an NSF PYI Award, matching funds from Digital Equipment Corporation, the Powell Foundation, and Xerox Corporation; and the Wallace F. and Lucille M. Davis Faculty 25:Scholarship. 26: andre@cis.upenn.edu http://www.cis.upenn.edu/~andre Department of Mathematics, University of Pennsylvania,
Philadelphia, PA, 19104-6395.
Partially supported by 27:NSF Grants CCR-91-02753 and CCR-94-00907 and by ONR Grant N00014-92-J-1916. Sce-drov is an American Mathematical Society Centennial Research Fellow.