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FUTURE LOGIC
©
Avi Sion, 1990 (Rev. ed. 1996) All rights reserved.
Table
51.1 Consistent
Conjunctions of Categoricals.
|
FORMULA
|
An |
Ac |
A |
At |
Ap |
In |
Ic |
I |
It |
Ip |
En |
Ec |
E |
Et |
Ep |
On |
Oc |
O |
Ot |
Op |
| An |
An |
Ac |
A |
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| AcIn |
|
Ac |
A |
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| Ac |
|
Ac |
A |
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| AIn |
|
|
A |
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| AIc |
|
|
A |
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| A |
|
|
A |
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| AtIn |
|
|
|
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| AtIc |
|
|
|
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| AtI |
|
|
|
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| At |
|
|
|
At |
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| ApIn |
|
|
|
|
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| ApIc |
|
|
|
|
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| ApI |
|
|
|
|
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| ApIt |
|
|
|
|
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| Ap |
|
|
|
|
Ap |
|
|
|
|
Ip |
|
|
|
|
|
|
|
|
|
|
| In |
|
|
|
|
|
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| Ic |
|
|
|
|
|
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| I |
|
|
|
|
|
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| It |
|
|
|
|
|
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
|
|
| Ip |
|
|
|
|
|
|
|
|
|
Ip |
|
|
|
|
|
|
|
|
|
|
| AcInOp |
|
Ac |
A |
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| AcOp |
|
Ac |
A |
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| AInOp |
|
|
A |
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| AIcOp |
|
|
A |
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| AOp |
|
|
A |
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| AtInOp |
|
|
|
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| AtIcOp |
|
|
|
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| AtIOp |
|
|
|
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| AtOp |
|
|
|
At |
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| ApInOp |
|
|
|
|
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| ApIcOp |
|
|
|
|
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| ApIOp |
|
|
|
|
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| ApItOp |
|
|
|
|
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| ApOp |
|
|
|
|
Ap |
|
|
|
|
Ip |
|
|
|
|
|
|
|
|
|
Op |
| InOp |
|
|
|
|
|
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| IcOp |
|
|
|
|
|
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| IOp |
|
|
|
|
|
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| ItOp |
|
|
|
|
|
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
|
Op |
| IpOp |
|
|
|
|
|
|
|
|
|
Ip |
|
|
|
|
|
|
|
|
|
Op |
| Op |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Op |
| AInOt |
|
|
A |
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| AIcOt |
|
|
A |
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| AOt |
|
|
A |
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| AtInOt |
|
|
|
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| AtIcOt |
|
|
|
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| AtIOt |
|
|
|
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| AtOt |
|
|
|
At |
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| ApInOt |
|
|
|
|
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| ApIcOt |
|
|
|
|
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| ApIOt |
|
|
|
|
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| ApItOt |
|
|
|
|
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| ApOt |
|
|
|
|
Ap |
|
|
|
|
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| InOt |
|
|
|
|
|
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| IcOt |
|
|
|
|
|
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| IOt |
|
|
|
|
|
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| ItOt |
|
|
|
|
|
|
|
|
It |
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| IpOt |
|
|
|
|
|
|
|
|
|
Ip |
|
|
|
|
|
|
|
|
Ot |
Op |
| Ot |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ot |
Op |
| AtInO |
|
|
|
At |
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| AtIcO |
|
|
|
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| AtIO |
|
|
|
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| AtO |
|
|
|
At |
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| ApInO |
|
|
|
|
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| ApIcO |
|
|
|
|
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| ApIO |
|
|
|
|
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| ApItO |
|
|
|
|
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| ApO |
|
|
|
|
Ap |
|
|
|
|
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| InO |
|
|
|
|
|
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| IcO |
|
|
|
|
|
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| IO |
|
|
|
|
|
|
|
I |
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| ItO |
|
|
|
|
|
|
|
|
It |
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| IpO |
|
|
|
|
|
|
|
|
|
Ip |
|
|
|
|
|
|
|
O |
Ot |
Op |
| O |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
O |
Ot |
Op |
| ApInOc |
|
|
|
|
Ap |
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| ApIcOc |
|
|
|
|
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| ApIOc |
|
|
|
|
Ap |
|
|
I |
It |
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| ApItOc |
|
|
|
|
Ap |
|
|
|
It |
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| ApOc |
|
|
|
|
Ap |
|
|
|
|
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| InOc |
|
|
|
|
|
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| IcOc |
|
|
|
|
|
|
Ic |
I |
It |
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| IOc |
|
|
|
|
|
|
|
I |
It |
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| ItOc |
|
|
|
|
|
|
|
|
It |
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| IpOc |
|
|
|
|
|
|
|
|
|
Ip |
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| Oc |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Oc |
O |
Ot |
Op |
| InOn |
|
|
|
|
|
In |
Ic |
I |
It |
Ip |
|
|
|
|
|
On |
Oc |
O |
Ot |
Op |
| IcOn |
|
|
|
|
|
|
Ic |
I |
It |
Ip |
|
|
|
|
|
On |
Oc |
O |
Ot |
Op |
| IOn |
|
|
|
|
|
|
|
I |
It |
Ip |
|
|
|
|
|
On |
Oc |
O |
Ot |
Op |
| ItOn |
|
|
|
|
|
|
|
|
It |
Ip |
|
|
|
|
|
On |
Oc |
O |
Ot |
Op |
| IpOn |
|
|
|
|
|
|
|
|
|
Ip |
|
|
|
|
|
On |
Oc |
O |
Ot |
Op |
| On |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
On |
Oc |
O |
Ot |
Op |
| AcEp |
|
Ac |
A |
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| AIcEp |
|
|
A |
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| AEp |
|
|
A |
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| AtIcEp |
|
|
|
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| AtIEp |
|
|
|
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| AtEp |
|
|
|
At |
Ap |
|
|
|
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| ApIcEp |
|
|
|
|
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| ApIEp |
|
|
|
|
Ap |
|
|
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| ApItEp |
|
|
|
|
Ap |
|
|
|
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| ApEp |
|
|
|
|
Ap |
|
|
|
|
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| IcEp |
|
|
|
|
|
|
Ic |
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| IEp |
|
|
|
|
|
|
|
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| ItEp |
|
|
|
|
|
|
|
|
It |
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| IpEp |
|
|
|
|
|
|
|
|
|
Ip |
|
|
|
|
Ep |
|
|
|
|
Op |
| Ep |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ep |
|
|
|
|
Op |
| AIcEpOt |
|
|
A |
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
Ot |
Op |
| AEpOt |
|
|
A |
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
Ot |
Op |
| AtIcEpOt |
|
|
|
At |
Ap |
|
Ic |
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
Ot |
Op |
| AtIEpOt |
|
|
|
At |
Ap |
|
|
I |
It |
Ip |
|
|
|
|
Ep |
|
|
|
Ot |
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