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1 (* Title: HOL/UNITY/UNITY |
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2 ID: $Id$ |
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3 Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
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4 Copyright 1998 University of Cambridge |
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5 |
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6 The basic UNITY theory (revised version, based upon the "co" operator) |
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7 |
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8 From Misra, "A Logic for Concurrent Programming", 1994 |
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9 *) |
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10 |
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11 UNITY = LessThan + |
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12 |
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13 constdefs |
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14 |
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15 constrains :: "[('a * 'a)set set, 'a set, 'a set] => bool" |
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16 "constrains Acts A B == ALL act:Acts. act^^A <= B" |
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17 |
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18 stable :: "('a * 'a)set set => 'a set => bool" |
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19 "stable Acts A == constrains Acts A A" |
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20 |
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21 strongest_rhs :: "[('a * 'a)set set, 'a set] => 'a set" |
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22 "strongest_rhs Acts A == Inter {B. constrains Acts A B}" |
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23 |
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24 unless :: "[('a * 'a)set set, 'a set, 'a set] => bool" |
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25 "unless mutex A B == constrains mutex (A-B) (A Un B)" |
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26 |
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27 end |