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The Semantics of an FP Language with Infinite Objects

The Semantics of an FP Language with Infinite Objects 2025

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The document titled 'The Semantics of an FP Language with Infinite Objects' by Teresa Anne Thomas presents a dissertation that extends Backus's Functional Programming (FP) language to include infinite objects, resulting in a new language called Stream Functional Programming (SFP). The work discusses the semantic and mathematical implications of this extension, ensuring that the new language retains the desirable properties of FP while allowing for infinite data structures. It includes detailed definitions of semantic domains, primitive functions, operational semantics, and algebraic laws associated with SFP. The document emphasizes the importance of continuity and monotonicity in functions within SFP and explores potential future developments for implementing SFP in programming environments.

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What are the semantics of a programming language?

Semantics describes the processes a computer follows when executing a program in that specific language. This can be done by describing the relationship between the input and output of a program, or giving an explanation of how the program will be executed on a certain platform, thereby creating a model of computation.

What is an example of semantics in language?

Semantics The set of rules that determines the meaning of instructions written in a programming language. Metalanguage A language that is used to write the syntax rules for another language. The shading indicates a part of the definition that is optional.

What is the language with infinite words?

Omega language. In formal language theory within theoretical computer science, an infinite word is an infinite-length sequence (specifically, an -length sequence) of symbols, and an -language is a set of infinite words.

What is semantics in programming language?

An example of semantics in everyday life might be someone who says that theyve bought a new car, only for the car to turn out to be second-hand. However, the person feels that the car is new for them, creating semantic ambiguity.

What is the semantics of C++ programming language?

Broadly speaking, there are three established techniques for defining the semantics of a programming language: Denotational semantics defines a programs meaning using mathematical functions. Operational semantics defines a programs meaning using transitions between states of an abstract machine.