Dear all

Here is the homework of ISSUE .

Best,

Christian-Emil

The number of shortcuts has changed due to deprecation of properties and a few new. The eventual change of E4 isa E92 to a property etc, will result in 4 new shortcuts marked as red text below. One existing shortcut has to be redefined, marked in read as
well.

In the long discussion of formalizing shortcuts in FOL, the two terms strong shortcut and weak shortcut were introduce. A shortcut is weak when the existence of a long path implies an instance of the shortcut. In a graph the instantiation of the long path should automatically introduce a triple for the shortcut. It should be noted that there can be more than one instantiation of a long path.

A strong shortcut is a weak shortcut where the instantiation of the shortcut implies the existence of a long path. As long as the long path need not to be unique, I think this is ok in FOL. However, this may contradict the open world view ad also the timelessness of some properties like P1, P2. To make things simple I have defined all shortcuts as weak shortcuts. That is, the long path implies the short.

I have removed the “declaration” of class for intermediate nodes in the path where these are implied from the propertydefintion:

P105(x,y) ⊂ [E30(z) ˄ P104(x,z) ˄ P75(y,z)] becomes P105(x,y) ⊂ [P104(x,z) ˄ P75(y,z)]

since P104(x,z) ⊃ E30(z) and also P75(y,z) ⊃ E30(z).

The CRMbase document has no FOL description of the shortcuts. In 2015 when we started this work the intension was to add a line to those properties that are shortcuts, e.g.

In First Order Logic:

P105(x,y) ⊃ E72(x)

P105(x,y) ⊃ E39(y)

Shortcut: P105(x,y) ⊂ [ P104(x,z) ˄ P75(y,z)]

To add this is pure editorial work, the sig should just decide yes or no.

1. P1 is identified by (identifies), is a shortcut for the path from ‘E1 CRM Entity’ through ‘P140i was attributed by’, ‘E15 Identifier Assignment’, ‘P37 assigned’,‘E42 Identifier’, ‘P139 has alternative form’ to ‘E41 Appellation’.

P1(x,y) ⊂ [P140(z.x) ˄ P141(z,y)]

2. P2: Type assignment events allow a more detailed path from ‘E1 CRM Entity’ through ‘P41i was classified by’, ‘E17 Type Assignment’, ‘P42 assigned’, to ‘E55 Type’ for assigning types to objects compared to the shortcut offered by P2 has type (is
type of).

P2(x,y) ⊂ )[ P41(z.x) ˄ P42(z,y)]

3. [P7 took place at (witnessed)] It is a shortcut of the more fully developed path from E4 Period through
P161 has spatial projection, E53 Place, P89 falls within to E53 Place. E4 Period is a subclass of E92 Spacetime Volume. By the definition of
P161 has spatial projection an instance of E4 Period takes place on all its spatial projections, that is, instances of E53 Place. Something happening at a given place can also
be considered to happen at a larger place containing the first. For example, the assault on the Bastille July 14th 1789 took place in the area covered by Paris in 1789 but also in the area covered by France in 1789.

P7(x,y) ⊂ [E4(x) ˄ P161(x,z) ˄ P89(z,y)]

P7(x,y) ⊂ [Pyyy(x,w) ˄ P161(w,z) ˄ P89(z,y)]

4. P8 took place on or within (witnessed) is a shortcut of the more fully developed path from ‘E4 Period’ through ‘P7 took place at’, ‘E53 Place’, ‘P156i is occupied by’, to ‘E18 Physical Thing’

P8(x,y) ⊂ [P7(x,z) ˄ P156(y,z)]

5. [P9 consists of (forms part of)] This property associates an instance of E4 Period with another instance of E4 Period that is defined by a subset of the phenomena that define
the former. Therefore the spacetime volume of the latter must fall within the spacetime volume of the former.P9 consists of (forms part of) shortcut of long path via E92 STV

P9(x,y) ⊂ [Pyyy(x,z) ˄ P132(z,w) ˄ Pyyy(y,w) ]

6. P43: It is a shortcut of the more fully developed path from ‘E70 Thing’ through ‘P39 measured’, ‘E16 Measurement’, ‘P40 observed dimension’, to ‘E54 Dimension’. It offers no information about how and when an E54 Dimension was established, nor by
whom.

P43(x,y) ⊂ [P39(z,x) ˄ P40(z,y)]

7. P44: It is a shortcut of the more fully developed path from ‘E18 Physical Thing’ through ‘P34 concerned’, ‘E14 Condition Assessment’, ‘P35 has identified’, to ‘E3 Condition State’. It offers no information about how and when the E3 Condition State
was established, nor by whom.

P44(x,y) ⊂ [P34(z,x) ˄ P35(z,y)]

8. P46 is composed of (forms part of) shortcut via E92 Spacetime Volume

P46(x,y) ⊂ [E92(z) ˄ P92(w) ˄ Pxxx(x,z) ˄ P132(z,w) ˄ Pxxx(y,w)]

9. P49 has former or current keeper (is former or current keeper of) is a shortcut for the more detailed path from ‘E18 Physical Thing’ through ‘P30 transferred custody of’, ‘E10 Transfer of Custody’, ‘P28 custody surrendered by’ or ‘P29 custody received
by’ to ‘ E39 Actor’.

P49(x,y) ⊂ [P30(z,x) ˄ [P28(z,y) ˅ P29(z,y) ]]

10. P50 has current keeper (is current keeper of) is a shortcut for the more detailed path from ‘E18 Physical Thing’ through, ‘P30i custody transferred through’, ‘E10 Transfer of Custody’, ‘P29 custody received by’ ,to ‘E39 Actor’.

P50(x,y) ⊂ [P30(z,x) ˄ P29(z,y)]

11. P51 has former or current owner (is former or current owner of) is a shortcut for the more detailed path from ‘E18 Physical Thing’ through ‘P24i changed ownership through’, ‘E8 Acquisition’, ‘P23 transferred title from’, or ‘P22 transferred title to’,to
‘E39 Actor.’

P51(x,y) ⊂ [P24(z,x) ˄ [P23(z,y) ˅ P22(z,y) ]]

12. P52 has current owner (is current owner of) is a shortcut for the more detailed path from ‘E18 Physical Thing through’, ‘P24i changed ownership through, ‘E8 Acquisition’, ‘P22 transferred title to’, to ‘E39 Actor’, if and only if this acquisition event
is the most recent.

P52(x,y) ⊂ [P24(z,x) ˄ P22(z,y) ]

13. P53 has former or current location (is former or current location of) is a shortcut. A more detailed representation can make use of the fully developed (i.e. indirect) path from ‘E19 Physical Object’, though, ‘P25i moved by’, ‘E9 Move’, ‘P26 moved
to’ or ‘P27 moved from’, to ‘ E53 Place’.

P53(x,y) ⊂ [P25(z,x) ˄ [P26(z,y) ˅ P27(z,y) ]]

14. P55 has current location (currently holds) is a shortcut. A more detailed representation can make use of the fully developed (i.e. indirect) path from ‘E19 Physical Object’,through, ‘P25i moved by’, ‘E9 Move’, ‘P26 moved to’, to, ‘E53 Place’if and
only if this Move is the most recent

P55(x,y) ⊂ [P25(z,x) ˄ P26(z,y)]

15. P56 bears feature (is found on) is a shortcut. A more detailed representation can make use of the fully developed (i.e. indirect) path ‘E19 Physical Object’,through, ‘P59 has section’, ‘E53 Place’, ‘P53i is former or current location of’, to, ‘E26
Physical Feature’.

P56(x,y) ⊂ [P59(x,z) ˄ P53(y,z)]

16. [P62 depicts (is depicted by)]This property is a shortcut of the more fully developed path from E24 Physical Human-Made Thing through P65 shows visual item, E36 Visual Item, P138 represents, E1CRM Entity. P138.1 mode of representation “depiction”
allows the nature of the depiction to be refined.

P62(x,y) ⊂ [P65(x,z) ˄ P138(z,y)]

17. P105 right held by (has right on) is a shortcut of the fully developed path E72 Legal Object,P104 is subject to, E30 Right, P75i is possessed by, E39 Actor.

P105(x,y) ⊂ [P104(x,z) ˄ P75(y,z)]

18. [P107 has current or former member (is current or former member of)] This property is a shortcut of the more fully developed path E74 Group, P144i gained member by, E85 Joining, P143 joined , E39 Actor

P107(x,y) ⊂ [P107(x,y) ˄ E55(z)]

19. [P152 has parent (is parent of)] This property is, among others, a shortcut of the fully developed paths from ‘E21Person’ through ‘P98i was born’, ‘E67 Birth’, ‘P96 by mother’ to ‘E21 Person’, and from ‘E21Person’ through ‘P98i was born’, ‘E67 Birth’,
‘P97 from father’ to ‘E21 Person’.

P152(x,y) ⊂ [E67(z) ˄ [P98(z,x) ˄ P96(z,y) ˅ P98(z,x) ˄ P97(z,y)]]

20. P156 occupies is a shortcut via E92 Spacetime Volume

P156(x,y) ⊂ [Pxxx(x,z) ˄ P161(z,y)]

21. P164 during (was time-span of) shortcut via E92 Spacetime Volume

P164(x,y) ⊂ [Pyyy(x,z) ˄ P161(z,w)]

22. [P167 at (was place of) ] It is a shortcut of the more fully developed path from E93 Presence through P161 has spatial projection, E53 Place, P89 falls within (contains) to E53 Place.

P167(x,y) ⊂ [E93(x) ˄ P161(x,z) ˄ P89(z,y)]

23. P171 at some place within is a shortcut of the fully developed path E53 Place, P89 falls within, E53 Place, P168 place is defined by, E94 Space Primitive through a not represented declarative Place as defined in CRMgeo (Doerr and Hiebel 2013) to a
Space Primitive

P171(x,y) ⊂ [P89(x,z) ˄ P168(z,y)]

24. [P172 contains] This property is a shortcut of the fully developed path: E53 Place, P89i contains, E53 Place, P168 place is defined by, E94 Space Primitive

P172(x,y) ⊂ [P89(z,x) ˄ P168(z,y)]