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Caltha Language Specification

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Caltha Language Specification
 
Introduction

Notation

Basic Concepts

Basic Elements

Structuring Elements

Functions

Operations





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Table of Contents

Section Topics
Introduction
purpose of the document
distinction between typed and symbolic programs
distinction between languages and implementations
Notation
Characters - building-blocks of typed code
Symbols - markings used to write symbolic programs
Symbolic Conventions - size and positioning of symbols
Tokens - indivisible elements
Elements - nodes in a tree-like representation of a program
Basic Concepts
Values - numbers, booleans, functions, etc.
Expressions - elements used to represent values
Evaluation - the act of calculating values
Execution - the act of producing side effects
Basic Elements
Literals - token expressions that indicate values
Variables - token expressions that conceal values
Assignments - elements that define variables
Structuring Elements
Programs - executable lists of statements
Subprograms - programs within programs
Selections - expressions that select expressions
Functions
Function Expressions - expressions that represent functions
Function Application - the application of functions
Vector Expressions - expressions that represent vectors
Recursion - repetition using recursive functions
Operations
Basic Operations - operations that yield extended numbers
Operations Expressions - expressions that describe operations
Composition - operations that yield functions
Reduction - prefix operations that reduce arrays
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