Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule | logic.propositional.notnot |
Location | [1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ T
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,0,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ p /\ ~q /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,0,0,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ T /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,0,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ p /\ ~q /\ T /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,0,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,0,0,1,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~F) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,0,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,0,1,1,1,1,0,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ p /\ ~q /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,0,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ T /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ p /\ ~q /\ T /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,0,1,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~F)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1,1,0,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
![](http://ideas.cs.uu.nl/images/external.png)
T /\ p /\ ((T /\ q /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q /\ T) /\ p /\ ~F /\ ~q /\ ~~T) || (~r /\ ~~(p /\ ~q) /\ T /\ ~~(p /\ ~q) /\ p /\ ~F /\ ~q /\ ~~T)) /\ ~q /\ ~~T
ready: no