Goal of Hidato: Fill in a grid with a series of consecutive numbers that connect each other horizontally, vertically, or diagonally. Yesterday I posted New record for minimally clued 5x5 Hidato, asking for any 4-clue 5x5 Hidato with a unique solution. However, none of the answers (or trivial tr...

The formulas ψ→((φ→(ψ→χ))→((¬χ→((¬ξ→τ)→φ))→(ξ→χ))), and (¬ψ→¬φ)→(φ→ψ) are tautologies in terms of {→,¬}, namely in terms of "if, then" and "not". All of ψ,φ,χ,ξ,τ are placeholders for all propositional formulas. Propositional formulas are defined as follows: Given a set of variables {0,1,2,.....

The formulas ψ→((φ→(ψ→χ))→((¬χ→((¬ξ→τ)→φ))→(ξ→χ))), and (ψ→φ)→((φ→χ)→(ψ→χ)) are tautologies in terms of {→,¬}, namely in terms of "if, then" and "not". All of ψ,φ,χ,ξ,τ are placeholders for all propositional formulas. Propositional formulas are defined as follows: Given a set of variables {0,...

Puzzle attribution: Me :) Background So as you might or might not know, I have been studying the minimum number of clues needed to force a unique solution in Hidato for variously sized boards. I recently had come up with a 5x5 Hidato with 5 clues, although it was found to have multiple solution...

Transformation I start as one but can be two,A protocol change do you have a clue? Once I split there is no going back,what am I,with my history unpacked