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