zia

Interpreter for the Zia programming language

The Zia project aims to develop a programming language that can be used to program itself. Instead of storing the source code as plain text and editing the raw text (which can easily break the program), the runtime environment of the interpreter (the Context) can be saved to disk and used in other programs. All the programming is done using an interactive shell such as IZia or via an online IDE. The commands sent are interpreted based on the Context. They are used to incrementally modify, test and debug the Context.

Expressions for Zia commands represent a binary tree where parentheses group a pair of expressions and a space separates a pair of expressions. For example "(ll lr) (rl rr)" represents a perfect binary tree of height 2 with leaves "ll", "lr", "rl", "rr" going from left to right.

The leaves of the tree can be any unicode string without spaces or parentheses. These symbols may be recognised by the intepreter as concepts or if not used to label new concepts.

Currently, only the lowest-level functionality has been implemented. It's important that programs are represented consistently and transparently within the Context in order to achieve a self-describing system. The syntax shown below may appear awkward but more convenient syntax will be possible once more functionality is added. For example, the need to group pairs of expressions in parentheses will be alleviated by functionality to set the relative precedence and associativity of concepts.

So far there are 10 built-in concepts. A new Context labels these with the symbols, "label_of", "->", ":=", "let", "true", "false", "assoc", "right", "left", "prec", "deafult", ">" but the labels can be changed to different symbols for different languages or disciplines.

Examples

extern crate zia;
use zia::{Context, ZiaError};

// Construct a new `Context` using the `new` method
let mut context = Context::new();

// Specify operator precedence for `let` and `->`.
assert_eq!(context.execute("let default > prec ->"), "");
assert_eq!(context.execute("let (prec ->) > prec let"), "");
// Cannot yet infer partial order. Requires implication to express transitive property
assert_eq!(context.execute("let default > prec let"), "");

// Specify the rule that the concept "a b" reduces to concept "c"
assert_eq!(context.execute("let a b -> c"), "");
assert_eq!(context.execute("a b"), "c");

// Change the rule so that concept "a b" instead reduces to concept "d"
assert_eq!(context.execute("let a b -> d"), "");
assert_eq!(context.execute("a b"), "d");

// Change the rule so "a b" doesn't reduce any further
assert_eq!(context.execute("let a b -> a b"), "");
assert_eq!(context.execute("a b"), "a b");

// Try to specify a rule that already exists
assert_eq!(context.execute("let a b -> a b"), ZiaError::RedundantReduction.to_string());
assert_eq!(context.execute("let a b -> c"), "");
assert_eq!(context.execute("let a b -> c"), ZiaError::RedundantReduction.to_string());

// Relabel "label_of" to "표시"
assert_eq!(context.execute("let 표시 := label_of"), "");
assert_eq!(context.execute("표시 a b"), "\'c\'");

// You can reduce a labelled concept
assert_eq!(context.execute("let a -> d"), "");

// Try to specify the composition of a concept in terms of itself
assert_eq!(context.execute("let b := a b"), ZiaError::InfiniteDefinition.to_string());

// Try to specify the reduction of concept in terms of itself
assert_eq!(context.execute("let c d -> (c d) e"), ZiaError::ExpandingReduction.to_string());

// Determine the truth of a reduction
assert_eq!(context.execute("a -> d"), "true");
assert_eq!(context.execute("d -> a"), "false");

// A concept never reduces to itself
assert_eq!(context.execute("a -> a"), "false");

// Cannot reduce a reduction expression between unrelated concepts
assert_eq!(context.execute("d -> f"), "d -> f");

// Can ask whether a reduction is true or false
assert_eq!(context.execute("(a -> d) -> true"), "true");
assert_eq!(context.execute("(d -> a) -> false"), "true");

// Let an arbitary symbol be true
assert_eq!(context.execute("let g"), "");
assert_eq!(context.execute("g"), "true");

// Let an arbitary expression be true
assert_eq!(context.execute("let h i j"), "");
assert_eq!(context.execute("h i j"), "true");

// Determine associativity of symbol
assert_eq!(context.execute("assoc a"), "right");

// Define patterns
assert_eq!(context.execute("let _x_ and false -> false"), "");
assert_eq!(context.execute("foo and false"), "false");

License: GPL-3.0