Name	Cooldown	Description 【Switch】	SP	Required
Logic	5	Boosts damage by X% of unit's Atk when Special triggers (if【Penalty】effects are active on foe, X = 80; otherwise, X = 70). If unit initiates combat, reduces damage from foe's attacks by 40% during combat (excluding area-of-effect Specials), and also, if foe has any【Penalty】effects active, grants Special cooldown count-1 to unit before unit's first attack during combat.	Boosts damage by X% of unit's Atk when Special triggers (if【Penalty】effects are active on foe, X = 80; otherwise, X = 70). If unit initiates combat, reduces damage from foe's attacks by 40% during combat (excluding area-of-effect Specials), and also, if foe has any【Penalty】effects active, grants Special cooldown count-1 to unit before unit's first attack during combat. 【Penalty】 All effects that last "on foe through its next action." Includes penalties inflicted by a skill like Panic or Threaten and negative status effects (preventing counterattacks, restricting movement, or the effects of a skill like Triangle Adept or Guard).	500	Dragon Fang
Cannot use:

Effects

Effects	Targets	Conditions
Combat effects
Boosts damage by X X = (80% if a 【Penalty】 effect is active on  Foe; else 70%) of  Unit's Atk	Unit	Special triggers
Reduces damage by 40% from  Foe's attacks		Player Phase
Special cooldown count-1 before  Unit's first attack		Player Phase & a 【Penalty】 effect is active on  Foe

Notes

• The Special damage boosting effect of Logic is not affected by the weapon-triangle, and includes the increased Atk from skills like  Blárblade+ in its calculations.
• The Special damage boosting effect of Logic can be reduced by damage-reduction effects such as  Archrival,  A/S Rival Break, and  Dodge.
  • Damage boosting effects stack additively, similar to flat damage-reduction effects and interactions related to the weapon-triangle, such as  Triangle Adept and the weapon-triangle advantage boost.
  • A foe equipped with Invincibility Seals will neutralize all sources of damage except from Røkkr area-of-effect Specials and the minimum 1 damage from Umbra Burst weapons.
  • A foe using attack damage preventing effects can neutralize damage dealt from the foe's own attacks and the unit's attacks (Units with Umbra Burst weapons will take and deal the minimum 1 damage).
  • For more information, see Damage calculation.
• "If unit initiates combat" means if the user starts combat during the player phase. The unit does not need to deal damage, nor be the first to attack.
  • However, if the effect is applied after combat, the unit must also survive it to fulfill this condition.

• The Special "reduces damage by X%" effect is calculated after offensive Specials and damage boosting effects such as  Arcane Thorn and  Change of Fate.
  • If an effect such as  Miracle or  Roy: Of Binding's boosted Special effect can trigger, the damage-reduction effect will not trigger and the user will still survive with only 1 HP.
  • Umbra Burst weapons will always deal a minimum of 1 damage even if the foe uses attack damage preventing effects, Invincibility Seals, or damage reduction effects.
  • "Reduces damage by X%" effects stack multiplicatively, unlike interactions related to the weapon-triangle, such as  Triangle Adept and the weapon-triangle advantage boost.
    • For example, if the damage-reduction effects from both  Dodge and  Archrival trigger, the maximum total damage-reduction is 64% instead of 80%, since the two skills reduce the damage to (1 − 40%) × (1 − 40%) = 36% of the original damage.
  • Special "reduces damage by X%" effects cannot be neutralized or reduced only during combat by effects such as  Share Spoils+ or  Halves non-Special damage reduction.
  • For more information, see Damage calculation.
• Logic's Special cooldown count reduction that occurs during combat is a flat -1 and is not affected by effects related to Special cooldown charge such as  Guard,  Special Cooldown Charge +1, and  Tempo Echo.
  • All flat cooldown count increases and/or reductions during combat will stack with each other if they trigger at the same time.
    • For example, if a unit has  Preempt Pulse and  Hush Spectrum, the effects will stack and the unit's cooldown count will neither increase nor decrease.
• The extra damage boost and special cooldown count -1 effects of Logic will activate if the foe receives a 【Penalty】 effect.
  • The extra damage boost and special cooldown count -1 effects will not be negated if the foe receives a 【Bonus】 effect.
  • If the foe does not receive a 【Penalty】 effect, or has their 【Penalty】 effect removed by a source of Penalty effect removal, the extra damage boost and special cooldown count -1 effects will be negated.
  • For more information, see Status effects.

List of owners

Unit	Skill chain
Eirika: Spring Company	Dragon Gaze 5	Dragon Fang 5	Logic 5
Ivy: Bewitching Ruler	Dragon Gaze 5	Dragon Fang 5	Logic 5
Lysithea: Duality Prodigy	Dragon Gaze 5	Dragon Fang 5	Logic 5

Availability

Summoning events

Distributed units

• This skill is not available on any distributed units.

Combat Manuals

• This skill has not been available on any distributed Combat Manuals.

Gallery

• 
  Sprite sheet for Logic's animation.

In other languages

See also