
TL;DR
This paper develops a comprehensive theoretical framework for understanding programs, programming, and programming languages using elementary set theory, deriving properties as theorems and covering both sequential and concurrent computation.
Contribution
It introduces a unified set-theoretic foundation for programming theory, deriving key properties as theorems and encompassing sequential and concurrent models.
Findings
Derives properties of programs as theorems from set theory
Provides a unified framework for sequential and concurrent computation
Establishes foundational concepts for programming languages
Abstract
A general theory of programs, programming and programming languages built up from a few concepts of elementary set theory. Derives, as theorems, properties treated as axioms by classic approaches to programming. Covers sequential and concurrent computation.
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Taxonomy
TopicsComputability, Logic, AI Algorithms
