Abstract
A logic based on the envelope theory for verification of properties of programs with evaluation of rational execution time is introduced. The truth value of proposition varies with time, so that its truth set becomes naïvely a set of rational time where it holds We shall, however, use a function for rational time to the set of such time sets. The “envelope” is a specialization of the closure concept attached to the lattice theory. Using this logic, properties, involving time or not, of programs can be verified more precisely and easily than using conventional methods, because concrete actual values of time length are explicitly dealt with in this relatively concise formal system. Examples follow.
This work was supported in part by the Grant-in-Aid for the Scientific Research of Ministry of Education, Science and Culture (No. 05302011 and 06302013) and also by Fuji Xerox.
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Igarashi, S., Shio, M., Shirogane, T., Mizutani, T. (1996). Formal verification and evaluation of execution time in the envelope theory. In: Jaffar, J., Yap, R.H.C. (eds) Concurrency and Parallelism, Programming, Networking, and Security. ASIAN 1996. Lecture Notes in Computer Science, vol 1179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027802
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DOI: https://doi.org/10.1007/BFb0027802
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