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Documentation Index

Fetch the complete documentation index at: https://mintlify.com/Z3Prover/z3/llms.txt

Use this file to discover all available pages before exploring further.

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Overview

Z3 parameters allow you to fine-tune solver behavior, control search strategies, and enable specific features. The parameter system provides a flexible way to configure solvers, tactics, and simplifiers without recompiling.

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Core Parameter Types

Z3 supports several parameter types:
  • Boolean - Enable/disable features (e.g., proof, model)
  • Unsigned Integer - Numeric limits and thresholds (e.g., timeout, max_memory)
  • Double - Floating-point values for heuristics
  • Symbol - Named options (e.g., smt.logic, sat.phase)

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Creating and Managing Parameters

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Basic Parameter Operations

// Create a parameter set
Z3_params params = Z3_mk_params(ctx);
Z3_params_inc_ref(ctx, params);

// Set different parameter types
Z3_symbol timeout_sym = Z3_mk_string_symbol(ctx, "timeout");
Z3_params_set_uint(ctx, params, timeout_sym, 5000);  // 5 second timeout

Z3_symbol model_sym = Z3_mk_string_symbol(ctx, "model");
Z3_params_set_bool(ctx, params, model_sym, true);

Z3_symbol phase_sym = Z3_mk_string_symbol(ctx, "sat.phase");
Z3_symbol phase_val = Z3_mk_string_symbol(ctx, "caching");
Z3_params_set_symbol(ctx, params, phase_sym, phase_val);

// Apply parameters to solver
Z3_solver_set_params(ctx, solver, params);

// Cleanup
Z3_params_dec_ref(ctx, params);

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Common Parameter Categories

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Timeout and Resource Limits

Control solver execution time and resource consumption: 
Z3_params params = Z3_mk_params(ctx);
Z3_params_inc_ref(ctx, params);

// Time limit in milliseconds
Z3_symbol timeout = Z3_mk_string_symbol(ctx, "timeout");
Z3_params_set_uint(ctx, params, timeout, 10000);  // 10 seconds

// Resource limit (instructions executed)
Z3_symbol rlimit = Z3_mk_string_symbol(ctx, "rlimit");
Z3_params_set_uint(ctx, params, rlimit, 1000000);

// Memory limit in megabytes
Z3_symbol max_memory = Z3_mk_string_symbol(ctx, "max_memory");
Z3_params_set_uint(ctx, params, max_memory, 1024);

Z3_solver_set_params(ctx, solver, params);
Z3_params_dec_ref(ctx, params);

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Proof and Model Generation

Enable proof generation and model production: 
Z3_params params = Z3_mk_params(ctx);
Z3_params_inc_ref(ctx, params);

// Enable proof generation (must be set on context creation too)
Z3_symbol proof = Z3_mk_string_symbol(ctx, "proof");
Z3_params_set_bool(ctx, params, proof, true);

// Enable model generation
Z3_symbol model = Z3_mk_string_symbol(ctx, "model");
Z3_params_set_bool(ctx, params, model, true);

// Enable unsat core tracking
Z3_symbol unsat_core = Z3_mk_string_symbol(ctx, "unsat_core");
Z3_params_set_bool(ctx, params, unsat_core, true);

Z3_solver_set_params(ctx, solver, params);
Z3_params_dec_ref(ctx, params);

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SAT Solver Parameters

Configure the underlying SAT solver: 
Z3_params params = Z3_mk_params(ctx);
Z3_params_inc_ref(ctx, params);

// Restart strategy
Z3_symbol restart = Z3_mk_string_symbol(ctx, "sat.restart");
Z3_symbol geometric = Z3_mk_string_symbol(ctx, "geometric");
Z3_params_set_symbol(ctx, params, restart, geometric);

// Random seed for reproducibility
Z3_symbol random_seed = Z3_mk_string_symbol(ctx, "sat.random_seed");
Z3_params_set_uint(ctx, params, random_seed, 42);

// Phase selection strategy
Z3_symbol phase = Z3_mk_string_symbol(ctx, "sat.phase");
Z3_symbol caching = Z3_mk_string_symbol(ctx, "caching");
Z3_params_set_symbol(ctx, params, phase, caching);

Z3_solver_set_params(ctx, solver, params);
Z3_params_dec_ref(ctx, params);

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Parameter Discovery

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Listing Available Parameters

Query which parameters a solver accepts: 
// Get parameter descriptions for a solver
Z3_param_descrs descrs = Z3_solver_get_param_descrs(ctx, solver);
Z3_param_descrs_inc_ref(ctx, descrs);

unsigned size = Z3_param_descrs_size(ctx, descrs);
printf("Available parameters: %u\n", size);

for (unsigned i = 0; i < size; i++) {
    Z3_symbol name = Z3_param_descrs_get_name(ctx, descrs, i);
    Z3_param_kind kind = Z3_param_descrs_get_kind(ctx, descrs, name);
    Z3_string doc = Z3_param_descrs_get_documentation(ctx, descrs, name);
    
    const char* kind_str;
    switch (kind) {
        case Z3_PK_UINT:   kind_str = "unsigned"; break;
        case Z3_PK_BOOL:   kind_str = "bool"; break;
        case Z3_PK_DOUBLE: kind_str = "double"; break;
        case Z3_PK_SYMBOL: kind_str = "symbol"; break;
        default:           kind_str = "other"; break;
    }
    
    printf("  %s (%s): %s\n", 
           Z3_get_symbol_string(ctx, name),
           kind_str,
           doc);
}

Z3_param_descrs_dec_ref(ctx, descrs);

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Parameter Validation

Validate parameters before applying them: 
Z3_params params = Z3_mk_params(ctx);
Z3_params_inc_ref(ctx, params);

// Set some parameters
Z3_symbol timeout = Z3_mk_string_symbol(ctx, "timeout");
Z3_params_set_uint(ctx, params, timeout, 5000);

// Get parameter descriptions from solver
Z3_param_descrs descrs = Z3_solver_get_param_descrs(ctx, solver);
Z3_param_descrs_inc_ref(ctx, descrs);

// Validate parameters against descriptions
// This will invoke the error handler if parameters are invalid
Z3_params_validate(ctx, params, descrs);

Z3_param_descrs_dec_ref(ctx, descrs);
Z3_params_dec_ref(ctx, params);

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Parameter Scopes

Parameters can be set at different levels:

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Global Parameters

Set globally via configuration: 
Z3_config cfg = Z3_mk_config();
Z3_set_param_value(cfg, "proof", "true");
Z3_set_param_value(cfg, "model", "true");
Z3_context ctx = Z3_mk_context(cfg);
Z3_del_config(cfg);

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Solver Parameters

Set per-solver instance: 
Z3_solver solver = Z3_mk_solver(ctx);
Z3_params params = Z3_mk_params(ctx);
Z3_params_inc_ref(ctx, params);

Z3_symbol timeout = Z3_mk_string_symbol(ctx, "timeout");
Z3_params_set_uint(ctx, params, timeout, 1000);

Z3_solver_set_params(ctx, solver, params);
Z3_params_dec_ref(ctx, params);

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Tactic and Simplifier Parameters

Apply parameters to tactics and simplifiers: 
// Create a simplifier with parameters
Z3_simplifier simp = Z3_mk_simplifier(ctx, "propagate-values");
Z3_simplifier_inc_ref(ctx, simp);

Z3_params params = Z3_mk_params(ctx);
Z3_params_inc_ref(ctx, params);

Z3_symbol max_rounds = Z3_mk_string_symbol(ctx, "max_rounds");
Z3_params_set_uint(ctx, params, max_rounds, 10);

Z3_simplifier simp_with_params = Z3_simplifier_using_params(ctx, simp, params);
Z3_simplifier_inc_ref(ctx, simp_with_params);

Z3_params_dec_ref(ctx, params);
Z3_simplifier_dec_ref(ctx, simp);
Z3_simplifier_dec_ref(ctx, simp_with_params);

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Performance Tuning Parameters

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SMT Solver Options

Z3_params params = Z3_mk_params(ctx);
Z3_params_inc_ref(ctx, params);

// Auto-configuration based on logic
Z3_symbol auto_config = Z3_mk_string_symbol(ctx, "auto_config");
Z3_params_set_bool(ctx, params, auto_config, true);

// Logic selection
Z3_symbol logic = Z3_mk_string_symbol(ctx, "smt.logic");
Z3_symbol qflia = Z3_mk_string_symbol(ctx, "QF_LIA");
Z3_params_set_symbol(ctx, params, logic, qflia);

// Arithmetic solver selection
Z3_symbol arith_solver = Z3_mk_string_symbol(ctx, "smt.arith.solver");
Z3_symbol solver_type = Z3_mk_string_symbol(ctx, "2");  // 1=old, 2=new, 6=auto
Z3_params_set_symbol(ctx, params, arith_solver, solver_type);

Z3_solver_set_params(ctx, solver, params);
Z3_params_dec_ref(ctx, params);

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Best Practices

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When to Use Parameters

Use parameters when you need to:
  • Set timeout limits for production systems
  • Optimize for specific problem domains
  • Enable debugging features (proofs, unsat cores)
  • Ensure reproducible results (set random seeds)
  • Tune performance for large problems

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Parameter Naming Conventions

Z3 uses a hierarchical naming scheme:
  • timeout - Global timeout
  • sat.restart - SAT solver restart strategy
  • smt.arith.solver - SMT arithmetic solver selection
  • rewriter.flat - Rewriter flattening option

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Common Pitfalls

  1. Setting proof parameters after context creation: Proof generation must be enabled when creating the context
  2. Invalid parameter names: Use parameter discovery to find valid names
  3. Type mismatches: Ensure you use the correct setter for each parameter type
  4. Forgetting reference counting: Always pair inc_ref with dec_ref

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Performance Considerations

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Memory vs. Time Trade-offs

// Aggressive memory limits may slow down solving
Z3_symbol max_memory = Z3_mk_string_symbol(ctx, "max_memory");
Z3_params_set_uint(ctx, params, max_memory, 512);  // 512 MB

// Balanced approach: set both time and memory limits
Z3_symbol timeout = Z3_mk_string_symbol(ctx, "timeout");
Z3_params_set_uint(ctx, params, timeout, 30000);  // 30 seconds

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Reproducibility

// For reproducible results across runs
Z3_symbol random_seed = Z3_mk_string_symbol(ctx, "sat.random_seed");
Z3_params_set_uint(ctx, params, random_seed, 0);

Z3_symbol smt_random_seed = Z3_mk_string_symbol(ctx, "smt.random_seed");
Z3_params_set_uint(ctx, params, smt_random_seed, 0);

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API Reference

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Parameter Set Management

  • Z3_mk_params - Create a parameter set
  • Z3_params_inc_ref - Increment reference counter (api_params.cpp:42)
  • Z3_params_dec_ref - Decrement reference counter (api_params.cpp:53)
  • Z3_params_to_string - Convert parameters to string (api_params.cpp:113)

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Setting Parameters

  • Z3_params_set_bool - Set boolean parameter (api_params.cpp:64)
  • Z3_params_set_uint - Set unsigned integer parameter (api_params.cpp:76)
  • Z3_params_set_double - Set double parameter (api_params.cpp:88)
  • Z3_params_set_symbol - Set symbol parameter (api_params.cpp:100)

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Parameter Discovery

  • Z3_solver_get_param_descrs - Get available parameters (api_solver.cpp:413)
  • Z3_param_descrs_size - Number of parameters (api_params.cpp:164)
  • Z3_param_descrs_get_name - Get parameter name (api_params.cpp:172)
  • Z3_param_descrs_get_kind - Get parameter type (api_params.cpp:147)
  • Z3_param_descrs_get_documentation - Get parameter documentation (api_params.cpp:185)

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Parameter Validation

  • Z3_params_validate - Validate parameters (api_params.cpp:123)

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See Also

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