_↚_

Grammatical restrictions:

Argument Position Prohibited Expression
Argument 1 _↔_
_⊕_
Argument 2 _→_
_↔_
_←_
_⊕_
_↛_
_↚_

Definitions:

a, b
Source: /avail/Avail/Foundation/Logic
Categories: Logic
Compute and answer the converse nonimplication of the arguments. This is equivalent to (¬{@param a }) ∧ b. Short-circuit the computation, i.e., only evaluate b if a is false.
Position Name Type Description
Parameters
1 boolean a
2 []→boolean b
Returns boolean
expression phrase ⇒ boolean, expression phrase ⇒ boolean
Source: /avail/Avail/Foundation/Logic
Categories: Primitives, Logic
Given two arbitrary boolean -valued phrase s, answer a converse nonimplication phrase. The resulting phrase short-circuits the computation, i.e., only evaluates b if a is true.
Position Name Type Description
Parameters
1 a expression phrase ⇒ boolean An expression phrase that yield a boolean.
2 b expression phrase ⇒ boolean An expression phrase that yield a boolean.
Returns send phrase ⇒ boolean a ↚ b.

Semantic restrictions:

boolean's type, []→(false's type)'s type
Source: /avail/Avail/Foundation/Logic
If the right-hand argument of _↚_ is known statically to be false, then the static type of the expression is false.
Type Description
Parameter Types
boolean's type
[]→(false's type)'s type
true's type's type, []→boolean's type
Source: /avail/Avail/Foundation/Logic
If the left-hand argument of _↚_ is known statically to be true, then the static type of the expression is false.
Type Description
Parameter Types
true's type's type
[]→boolean's type
false's type's type, []→(true's type)'s type
Source: /avail/Avail/Foundation/Logic
If the right-hand argument of _↚_ is known statically to be true and the left-hand argument is known statically to be false, then the static type of the expression is true.
Type Description
Parameter Types
false's type's type
[]→(true's type)'s type