1 May 2001 03:25
Mechanical Verification of a Context Lemma
People, We are very pleased to announce the completion of a mechanically verified proof of recent result in operational semantics, using SRI's PVS system. The result is a context lemma for a general class of programming languages, and goes by the name of the "CIU lemma". The proof uses the "annotated holes" technique developed in [1] to prove the original version of the CIU lemma. The actual version of the lemma we prove is much more general than [1], and follows the development of [2]. An paper describing the result, and the proof development, can be found at [3], and the actual machine proof at [4], in the form of a PVS dump file. The development of the proof uncovered several small gaps in the presentation given in [2]. The actual proof of CIU in PVS involves the proving over one thousand distinct facts. It takes PVS 9248 seconds (154 minutes) of CPU time running on a Linux machine configured with 2GBytes of main memory and 4 550 MHz Xeon PIII processors. The dump file containing all the PVS definitions, facts, and proofs is 17 MBytes and is available from [4] [1] Mason, I. A. and Talcott, C. L., Equivalence in Functional Languages with Effects, Journal of Functional Programming, Vol 1, pp 287-327, 1991. Available as postscript from http://mcs.une.edu.au/~iam/Data/Papers/91fp.ps [2] Talcott, C., Reasoning about Functions with Effects, in "Higher Order Operational Techniques in Semantics",(Continue reading)
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