The Gödel (programming language) issue is one that has captured the attention of many today. With its relevance to multiple aspects of modern life, Gödel (programming language) has proven to be a topic of great interest to a wide range of people. Whether it is its impact on society, its influence on popular culture, or its role in politics and economics, Gödel (programming language) has proven to be a topic worthy of analysis and reflection. In this article, we will explore the various facets of Gödel (programming language), with the goal of providing a more complete and in-depth view of its importance in today's world.
Paradigm | declarative, logic |
---|---|
Designed by | John Lloyd & Patricia Hill |
Developer | John Lloyd & Patricia Hill |
First appeared | 1992 |
Stable release | 1.5
/ August 11, 1995 |
Typing discipline | strong |
OS | Unix-like |
License | Non-commercial research/educational use only |
Website | https://www.cs.unipr.it/~hill/GOEDEL/expgoedel.html |
Dialects | |
Gödel with Generic (Parametrised) Modules |
Gödel is a declarative, general-purpose programming language that adheres to the logic programming paradigm. It is a strongly typed language, the type system being based on many-sorted logic with parametric polymorphism. It is named after logician Kurt Gödel.
Gödel has a module system, and it supports arbitrary precision integers, arbitrary precision rationals, and also floating-point numbers. It can solve constraints over finite domains of integers and also linear rational constraints. It supports processing of finite sets. It also has a flexible computation rule and a pruning operator which generalises the commit of the concurrent logic programming languages.
Gödel's meta-logical facilities provide support for meta-programs that do analysis, transformation, compilation, verification, and debugging, among other tasks.
The following Gödel module is a specification of the greatest common divisor (GCD) of two numbers. It is intended to demonstrate the declarative nature of Gödel, not to be particularly efficient.
The CommonDivisor
predicate says that if i
and j
are not zero, then d
is a common divisor of i
and j
if it lies between 1
and the smaller of i
and j
and divides both i
and j
exactly.
The Gcd
predicate says that d
is a greatest common divisor of i
and j
if it is a common divisor of i
and j
, and there is no e
that is also a common divisor of i
and j
and is greater than d
.
MODULE GCD. IMPORT Integers. PREDICATE Gcd : Integer * Integer * Integer. Gcd(i,j,d) <- CommonDivisor(i,j,d) & ~ SOME (CommonDivisor(i,j,e) & e > d). PREDICATE CommonDivisor : Integer * Integer * Integer. CommonDivisor(i,j,d) <- IF (i = 0 \/ j = 0) THEN d = Max(Abs(i),Abs(j)) ELSE 1 =< d =< Min(Abs(i),Abs(j)) & i Mod d = 0 & j Mod d = 0.