A Tutorial Introduction to Theorem Prover: PVS ... - Semantic Scholar
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A Tutorial Introduction to Theorem Prover: PVS ... - Semantic Scholar
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A Tutorial Introduction to Theorem Prover: PVS And Its Application in Promela-Lite Shamim Ripon1 Department of Computing Science University of Glasgow, Scotland 1 Supported
by ARTE Grant
FATA Seminar, 24 February, 2009
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Outline
1
PVS Overview
2
PVS and My Experience
3
PVS and Promela-Lite
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Summary
Shamim (FATA, DCS)
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PVS: What is it? PVS – Prototype Verification System A general purpose specification language integrated with theorem prover, and some supported tools Interactive theorem prover with powerful commands and user defined strategies The language is based on high-order logic Widely used in both academia and industry Applications: safety-critical system, hardware, distributed systems, algorithms, mathematics. . .
Shamim (FATA, DCS)
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PVS has been available since 1993 Freely distributed under license of SRI1 Run on Solaris or Linux Uses Emacs and TCL/TK for its interface
1
http://pvs.csl.sri.com/ Shamim (FATA, DCS)
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PVS Types
Base Types: bool, int, nat etc. Enumerated Types: {Red, Green, Blue} Function, record, tuple types: ◮ ◮ ◮
[ number -> number ] [# flag : bool, value: [bool, number]
nat #]
Predicate Subtype ◮ ◮
{x: real | x /= 0} A: TYPE = {x: T | p(x)} where p:[T -> bool]
Shamim (FATA, DCS)
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Recursive Types ◮
list[T: TYPE]: DATATYPE BEGIN null: null? cons(car: T, cdr: list): END list
