formal methods

Specification Relation

A specification relation defines how one specification relates to another, ensuring consistency and traceability. It's crucial for managing complex systems…

2 days ago

Evaluation Relation

An evaluation relation defines how the value of an expression is determined. It specifies the rules for reducing expressions to…

2 days ago

Verification Constraint: A Deeper Look

A verification constraint is a condition that must be met for a system or process to be considered valid. It…

4 days ago

Many-Sorted Logic

Many-sorted logic enhances first-order logic by introducing multiple domains. Variables and quantifiers are typed, specifying the sort of objects they…

4 days ago

Instantiation in Logic and Programming

Instantiation is the core process of replacing bound variables with specific constants. This action effectively removes quantifiers, leading to concrete…

4 days ago

Higher-Order Quantifiers

A higher-order quantifier binds variables that range over properties, relations, or functions, rather than individuals. This allows for more expressive…

4 days ago

Higher-Order Logic

Higher-order logic extends first-order logic by enabling quantification over predicates and other higher-order entities. It offers greater expressive power for…

4 days ago

Dynamic Modal Logic

Dynamic modal logic explores necessary and possible connections between events. It extends traditional modal logic to analyze how states change…

4 days ago

Constructive Mathematics

Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It avoids non-constructive proofs, like those relying on the…

4 days ago

Chronological Logic

Chronological logic, also known as temporal modal logic, deals with reasoning about time and events. It extends classical logic by…

4 days ago