Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule | logic.propositional.idempand |
Location | [1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,0,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,0,0,0,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~F /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,0,0,0,0,0,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~F /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,0,0,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,0,0,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~F /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,0,0,1,0,0,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~F /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ T /\ T /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ ~F /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ ~F /\ ~(~F /\ ~(p /\ ~q))
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((q /\ T) || (T /\ ~(r /\ r) /\ ~~(T /\ T))) /\ T /\ T /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q) /\ ~(q /\ ~q) /\ ~(p /\ ~q))) /\ ~F /\ T /\ T /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
ready: no