oxiz-solver

Main CDCL(T) SMT solver orchestration for OxiZ.

Overview

This crate integrates the SAT solver with theory solvers to provide complete SMT solving:

• CDCL(T) - SAT solver with theory propagation
• Context - High-level API for SMT-LIB2 interaction
• Model Generation - Extract satisfying assignments

Architecture

┌────────────────────────────────────────────────────┐
│                    Context                         │
│  (SMT-LIB2 interface, declaration management)      │
├────────────────────────────────────────────────────┤
│                    Solver                          │
│  (CDCL(T) orchestration, theory combination)       │
├────────────────────────────────────────────────────┤
│  ┌──────────┐  ┌──────────┐  ┌──────────────────┐  │
│  │ SAT Core │  │   EUF    │  │   Arithmetic     │  │
│  │(oxiz-sat)│  │  Solver  │  │     Solver       │  │
│  └──────────┘  └──────────┘  └──────────────────┘  │
└────────────────────────────────────────────────────┘

Usage

High-Level API (Context)

use oxiz_solver::Context;

let mut ctx = Context::new();

// Execute SMT-LIB2 script
let results = ctx.execute_script(r#"
    (set-logic QF_LIA)
    (declare-const x Int)
    (declare-const y Int)
    (assert (> x 0))
    (assert (< y 10))
    (assert (= (+ x y) 15))
    (check-sat)
    (get-model)
"#)?;

for line in results {
    println!("{}", line);
}

Low-Level API (Solver)

use oxiz_solver::{Solver, SolverResult};
use oxiz_core::ast::TermId;

let mut solver = Solver::new();
solver.set_logic("QF_UF");

// Assert terms
solver.assert(term_id);

// Check satisfiability
match solver.check() {
    SolverResult::Sat => {
        if let Some(model) = solver.model() {
            // Extract assignments
        }
    }
    SolverResult::Unsat => println!("Unsatisfiable"),
    SolverResult::Unknown => println!("Unknown"),
}

Modules

context

High-level SMT-LIB2 context:

• Declaration management (constants, functions, sorts)
• Script execution
• Result formatting

solver

CDCL(T) solver:

• SAT/theory integration
• Boolean encoding
• Model construction
• Push/pop state management

Supported Logics

• QF_UF - Quantifier-free Uninterpreted Functions
• QF_LRA - Quantifier-free Linear Real Arithmetic
• QF_LIA - Quantifier-free Linear Integer Arithmetic (partial)
• QF_BV - Quantifier-free BitVectors (partial)

Dependencies

• oxiz-core - AST and parsing
• oxiz-sat - SAT solver
• oxiz-theories - Theory solvers

License

Apache-2.0