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