Struct PhaseSemantics 

pub struct PhaseSemantics {
    pub monoid: String,
    pub facts: Vec<String>,
}

Phase semantics: Girard’s completeness model for linear logic based on a commutative monoid with a set of facts closed under a Galois connection.

Fields

monoid: String

Name of the underlying monoid.

facts: Vec<String>

Names of the facts (elements of the monoid satisfying the facts predicate).

Implementations

impl PhaseSemantics

pub fn new(monoid: impl Into<String>, facts: Vec<String>) -> Self

Create a new phase semantics structure.

pub fn interpret_formula(&self, formula: &str) -> String

Interpret a formula in the phase space.

Returns a string description of the interpretation (the “fact set” for that formula).

pub fn soundness(&self, formula: &str) -> bool

Soundness: every provable formula is valid in all phase spaces.

pub fn completeness_statement(&self) -> String

Completeness: every formula valid in all phase spaces is provable.

pub fn is_fact(&self, element: &str) -> bool

Check if an element is a fact.

Trait Implementations

impl Clone for PhaseSemantics

fn clone(&self) -> PhaseSemantics

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for PhaseSemantics

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.