Rule Antecedent Statement
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A Rule Antecedent Statement is a logic sentence that can be referenced by a conditional logic rule that needs to be satisfied for the rule consequent for a rule activation.
- Context:
- It can (often) form the "IF" part of an if-then statement.
- It can range from being a Single Antecedent Statement (with a single premise) to a Composite Antecedent Statement (with two or more sub-conditions).
- ...
- Example(s):
- Generic Rule Antecedent Statements, such as:
- "
X is greater than Y" - A simple comparison antecedent using numerical variables. - "
condition A is true OR condition B is false" - A compound antecedent using logical operators to combine multiple conditions. - "
the current time is between START_TIME and END_TIME" - A time-based antecedent for temporal rules. - "
the length of string S is less than 10 characters" - A string manipulation antecedent for data validation rules. - "
object O is an instance of class C" - An object-oriented antecedent for type-checking rules in object-oriented programming. - "
NOT (element E exists in list L)" - A negation antecedent combined with an existence check, used in set-based rules.
- "
- ...
- Domain-Specific Rule Antecedent Statements, such as:
- a Loan Approval Rule Antecedent for approving a loan: "
the applicant's credit score is above 700 AND the applicant's annual income is above $50,000." - a Firewall Rule Antecedent for network security: "
the source IP address is within the range 192.168.0.0/24 AND the destination port is 80". - a Contract-Related Rule Antecedent for non-disclosure agreement rules: "
an employee signs an NDA". - a Healthcare Rule Antecedent for patient treatment rules: "
a patient's blood pressure is above 140/90". - an E-Commerce Rule Antecedent for discount eligibility rules: "
a customer purchases more than $200 worth of goods".
- a Loan Approval Rule Antecedent for approving a loan: "
- ...
- Generic Rule Antecedent Statements, such as:
- Counter-Example(s):
- A Rule Consequent, such as Affirming the Antecedent.
- A Inference Rule, which governs the logical process of deriving a conclusion from premises (rather than the conditions themselves).
- See: Anaphor, Conjunctive Normal Form, If-Then Rule, Premise, Logical Expression.
References
2024
- (Wikipedia, 2024) ⇒ https://en.wikipedia.org/wiki/Antecedent_(logic) Retrieved:2024-7-27.
- An antecedent is the first half of a hypothetical proposition, whenever the if-clause precedes the then-clause. In some contexts the antecedent is called the protasis. [1] Examples: * If [math]\displaystyle{ P }[/math] , then [math]\displaystyle{ Q }[/math] . This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is P, and the consequent is Q. In the implication " [math]\displaystyle{ \phi }[/math] implies [math]\displaystyle{ \psi }[/math] ", [math]\displaystyle{ \phi }[/math] is called the antecedent and [math]\displaystyle{ \psi }[/math] is called the consequent. [2] Antecedent and consequent are connected via logical connective to form a proposition.
- If [math]\displaystyle{ X }[/math] is a man, then [math]\displaystyle{ X }[/math] is mortal.
- " [math]\displaystyle{ X }[/math] is a man" is the antecedent for this proposition while " [math]\displaystyle{ X }[/math] is mortal" is the consequent of the proposition.
- If men have walked on the Moon, then I am the king of France.
- Here, "men have walked on the Moon" is the antecedent and "I am the king of France" is the consequent.
Let [math]\displaystyle{ y=x+1 }[/math] .
- If [math]\displaystyle{ x=1 }[/math] then [math]\displaystyle{ y=2 }[/math] ,.
- " [math]\displaystyle{ x=1 }[/math] " is the antecedent and " [math]\displaystyle{ y=2 }[/math] " is the consequent of this hypothetical proposition.
- An antecedent is the first half of a hypothetical proposition, whenever the if-clause precedes the then-clause. In some contexts the antecedent is called the protasis. [1] Examples: * If [math]\displaystyle{ P }[/math] , then [math]\displaystyle{ Q }[/math] . This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is P, and the consequent is Q. In the implication " [math]\displaystyle{ \phi }[/math] implies [math]\displaystyle{ \psi }[/math] ", [math]\displaystyle{ \phi }[/math] is called the antecedent and [math]\displaystyle{ \psi }[/math] is called the consequent. [2] Antecedent and consequent are connected via logical connective to form a proposition.
- ↑ See Conditional sentence.
- ↑ Sets, Functions and Logic - An Introduction to Abstract Mathematics, Keith Devlin, Chapman & Hall/CRC Mathematics, 3rd ed., 2004
2009a
- (MiLCA Saarlandes Univeristy, 2009) ⇒ http://www.coli.uni-saarland.de/projects/milca/courses/comsem/xhtml/d0e1-gloss.xhtml
- antecedent Calculi: The antecedents (also called ↗premises) of a rule of a calculus are those formulas that must already have been derived for the rule to be applicable. In standard notation, they are written above the bar in inference rule schemata.
2009b
- (CYC Glossary, 2009) ⇒ http://www.cyc.com/cycdoc/ref/glossary.html
- antecedent: The antecedent of a rule is its left-hand side, that is, the first argument to the #$implies connective with which the rule begins. Intuitively, every rule states that if the antecedent is true, then the consequent must be true.