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