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