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