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