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/**
* The MIT License (MIT)
*
* Copyright (c) 2015 Camil Staps
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
module LogicTest
import Logic, StringUtils
// Some random examples
e1 = Atom 'p'
e2 = Atom 'q'
e3 = App1 Not e1
e4 = App2 e1 And e2
e5 = App2 e3 Or e2
e6 = App2 e3 Impl e3
e7 = App2 e4 Equiv e5
e8 = App2 (App2 (Atom 'p') And (Atom 'q')) Impl (Atom 'q')
e9 = App2 (Atom 'p') And (App2 (Atom 'q') Impl (Atom 'q'))
exprs_rand = [e1,e2,e3,e4,e5,e6,e7,e8,e9]
// To test associativity rules
e10 = App2 (App2 (Atom 'p') And (Atom 'q')) And (Atom 'r')
e11 = App2 (Atom 'p') And (App2 (Atom 'q') And (Atom 'r'))
e12 = App2 (App2 (Atom 'p') Or (Atom 'q')) Or (Atom 'r')
e13 = App2 (Atom 'p') Or (App2 (Atom 'q') Or (Atom 'r'))
e14 = App2 (App2 (Atom 'p') Impl (Atom 'q')) Impl (Atom 'r')
e15 = App2 (Atom 'p') Impl (App2 (Atom 'q') Impl (Atom 'r'))
e16 = App2 (App2 (Atom 'p') Equiv (Atom 'q')) Equiv (Atom 'r')
e17 = App2 (Atom 'p') Equiv (App2 (Atom 'q') Equiv (Atom 'r'))
exprs_assoc = [e10,e11,e12,e13,e14,e15,e16,e17]
//Start = map toString exprs_rand
//Start = map toString exprs_assoc
Start = toString (truthtable e15)
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