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Symbolic Differentiation in Prolog: Elegant DCGs and Efficient Tabling

2025-03-12

This article demonstrates symbolic differentiation using Prolog and its powerful definite clause grammars (DCGs). It begins by explaining fundamental calculus concepts, particularly the definition and rules of differentiation. A mathematical expression parser is then constructed using DCGs, transforming string-based expressions into abstract syntax trees (ASTs). To address left recursion, tabling is employed for efficiency. Finally, simplification rules refine the derivative results. The process highlights Prolog's strengths in symbolic computation, showcasing its elegance and efficiency.

Prolog: The Elegance of Declarative Programming

2025-01-26

This article delves into the simplicity and power of Prolog, a logic programming language. Unlike popular imperative languages (like Python, Java), Prolog employs a declarative paradigm, focusing on describing the problem rather than specifying the solution steps. The author demonstrates Prolog's advantages in conciseness and adaptability by comparing Prolog and Kotlin implementations of an authorization system. The Prolog code is significantly more compact, and modifications are easier when requirements change (e.g., adding a time dimension). While Prolog has a steeper learning curve, mastering it broadens programming perspectives and helps maintain system simplicity.