A Formal Specification of a Programming Language Design of Pit 2025

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Programs are written in a precisely and formally defined programming language, e.g., Java, C, Pascal. A program specification describes the results that a program is expected to produce -- its primary purpose is to be understood not executed. Specifications provide the foundation for programming methodology.
A formal specification is a precise, unambiguous specification of the functionality of a software system. Examples: a program that implements the system (low level of abstraction) a mathematical description of the system using first order predicate logic.
Programming languages are described in terms of their syntax (form) and semantics (meaning), usually defined by a formal language. Languages usually provide features such as a type system, variables, and mechanisms for error handling.
Formal specifications describe what a system should do, not how the system should do it. A good specification must have some of the following attributes: adequate, internally consistent, unambiguous, complete, satisfied, minimal. A good specification will have: Constructability, manageability and evolvability.
Formal means well defined. Every programming language that can be used to define executable programs has to be well defined so that machines can understand it.
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A formal specification language is usually composed of three primary components or in mathematical term we can say that it consists of two sets, syntax and semantics and a set of relation [2]. objects properly satisfy the specification.
In general, formal verification consists of mathematically establishing that an implementation satisfies its specification. The implementation refers to the system design which should be verified. This entity can represent a design description at any level of the system abstraction hierarchy.

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