# SMT Logics

The following table lists the names of all the official SMT-LIB logics at http://smt-lib.org (as of January 2015) and indicates whether Yices supports them. Currently, Yices supports most quantifier-free SMT-LIB logics. Nonlinear real arithmetic is supported by using the MCSAT solver of Yices.

Logic name

Description

Supported

ALIA

Arrays, Linear Integer Arithmetic, Quantifiers

No

AUFLIA

Arrays, Uninterpreted Functions, Linear Integer Arithmetic, Quantifiers

No

AUFLIRA

Arrays, Uninterpreted Functions, Mixed Linear Arithmetic, Quantifiers

No

AUFNIRA

Arrays, Uninterpreted Functions, Mixed Nonlinear Arithmetic, Quantifiers

No

LIA

Linear Integer Arithmetic, Quantifiers

No

LRA

Linear Real Arithmetic, Quantifiers

No

NIA

Nonlinear Integer Arithmetic, Quantifiers

No

NRA

Nonlinear Real Arithmetic, Quantifiers

No

QF_ABV

Arrays and Bitvectors

Yes

QF_ALIA

Arrays and Linear Integer Arithmetic

Yes

QF_AUFBV

Arrays, Uninterpreted Functions, and Bitvectors

Yes

QF_AUFLIA

Arrays, Uninterpreted Functions, and Linear Integer Arithmetic

Yes

QF_AX

Arrays (with extensionality)

Yes

QF_BV

Bitvectors

Yes

QF_IDL

Integer Difference Logic

Yes

QF_LIA

Linear Integer Arithmetic

Yes

QF_LRA

Linear Real Arithmetic

Yes

QF_NIA

Nonlinear Integer Arithmetic

Yes

QF_NIRA

Mixed Nonlinear Arithmetic

Yes

QF_NRA

Nonlinear Real Arithmetic

Yes

QF_RDL

Real Difference Logic

Yes

QF_UF

Uninterpreted Functions

Yes

QF_UFBV

Uninterpreted Functions and Bitvectors

Yes

QF_UFIDL

Uninterpreted Functions and Integer Difference Logic

Yes

QF_UFLIA

Uninterpreted Functions and Linear Integer Arithmetic

Yes

QF_UFLRA

Uninterpreted Functions and Linear Real Arithmetic

Yes

QF_UFNIA

Uninterpreted Functions and Nonlinear Integer Arithmetic

Yes

QF_UFNIRA

Uninterpreted Functions and Mixed Nonlinear Arithmetic

Yes

QF_UFNRA

Uninterpreted Functions and Nonlinear Real Arithmetic

Yes

UFLRA

Uninterpreted Functions, Linear Real Arithmetic, Quantifiers

No

UFNIA

Uninterpreted Functions, Nonlinear Integer Arithmetic, Quantifiers

No

Yices also recognizes and supports some logic names that are not officially part of SMT-LIB.

Logic name

Description

QF_ALRA

Arrays and Linear Real Arithmetic

QF_ALIRA

Arrays and Mixed Linear Arithmetic

QF_AUF

Arrays and Uninterpreted Functions

QF_AUFLRA

Arrays, Uninterpreted Functions, Linear Real Arithmetic

QF_AUFLIRA

Arrays, Uninterpreted Functions, Mixed Linear Arithmetic

QF_LIRA

Mixed Linear Arithmetic

QF_UFLIRA

Uninterpreted Functions and Mixed Linear Arithmetic

QF_UFRDL

Uninterpreted Functions and Real Difference Logic