When a monic x*y has a factor x with mod(x, p) = 0 (fixed), propagate
mod(x*y, p) = 0. This enables Z3 to prove divisibility properties like
x mod p = 0 => (x*y) mod p = 0, which previously timed out even for
p = 2. The lemma fires in the NLA divisions check and allows Gröbner
basis and LIA to subsequently derive distributivity of div over addition.
Extends division tuples from (q, x, y) to (q, x, y, r) to track the
mod lpvar. Also registers bounded divisions from the mod internalization
path in theory_lra, not just the idiv path.
Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
* outline of signature for assignment based conflict generation
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* outline of interface contract
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* remove confusing construction
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* add material in nra-solver to interface
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* add marshaling from nlsat lemmas into core solver
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* tidy
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* add call to check-assignment
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* Nl2lin (#7795)
* add linearized projection in nlsat
* implement nlsat check for given assignment
* add some comments
* fixup loop
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* updates
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* fixes
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* debug nl2lin
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* Nl2lin (#7827)
* fix linear projection
* fix linear projection
* use an explicit cell description in check_assignment
* clean up (#7844)
* Simplify no effect checks in nla_core.cpp
Move up linear nlsat call to replace bounded nlsat.
* t
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* t
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* detangle mess
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* remove the too early return
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* do not set use_nra_model to true
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* remove a comment
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* add a hook to add new multiplication definitions in nla_core
* add internalization routine that uses macro-expanded polynomial representation
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* add internalization routine that uses macro-expanded polynomial representation
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* fixup backtranslation to not use roots
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* call setup_assignment_solver instead of setup_solver
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* debug the setup, still not working
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* updated clang format
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* simplify
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* create polynomials with integer coefficients, use the hook to create new monomials
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* integrating changes from master related to work with polynomials
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* add forgotten files
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* Update nlsat_explain.cpp
Remove a duplicate call
* fix
* move linear cell construction to levelwise
* fix
* fix
* Port throttle and soundness fixes from master
- Fix soundness: pop incomplete lemma from m_lemmas on add_lemma failure
- Gracefully handle root atoms in add_lemma
- Throttle check_assignment with failure counter (decrement on success)
- Add arith.nl.nra_check_assignment parameter
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
* Add arith.nl.nra_check_assignment_max_fail parameter
Replace hardcoded failure threshold with configurable parameter (default 10).
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
* Add cha_abort_on_fail parameter to control failure counter decrement
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
* abort nla check_assignment after a set number of allowed failures
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* Add missing AST query methods to Java API (#8977)
* add Expr.isGround() to Java API
Expose Z3_is_ground as a public method on Expr. Returns true when the
expression contains no free variables.
* add Expr.isLambda() to Java API
Expose Z3_is_lambda as a public method on Expr. Returns true when the
expression is a lambda quantifier.
* add AST.getDepth() to Java API
Expose Z3_get_depth as a public method on AST. Returns the maximum
number of nodes on any path from root to leaf.
* add ArraySort.getArity() to Java API
Expose Z3_get_array_arity as a public method on ArraySort. Returns
the number of dimensions of a multi-dimensional array sort.
* add DatatypeSort.isRecursive() to Java API
Expose Z3_is_recursive_datatype_sort as a public method on
DatatypeSort. Returns true when the datatype refers to itself.
* add FPExpr.isNumeral() to Java API
Expose Z3_fpa_is_numeral as a public method on FPExpr. Returns true
when the expression is a concrete floating-point value.
* add isGroundExample test to JavaExample
Test Expr.isGround() on constants, variables, and compound
expressions.
* add astDepthExample test to JavaExample
Test AST.getDepth() on leaf nodes and nested expressions to verify
the depth computation.
* add arrayArityExample test to JavaExample
Test ArraySort.getArity() on single-domain and multi-domain array
sorts.
* add recursiveDatatypeExample test to JavaExample
Test DatatypeSort.isRecursive() on a recursive list datatype and a
non-recursive pair datatype.
* add fpNumeralExample test to JavaExample
Test FPExpr.isNumeral() on a floating point constant and a symbolic
variable.
* add isLambdaExample test to JavaExample
Test Expr.isLambda() on a lambda expression and a plain variable.
* change the default number of failures in check_assignment to 7
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* Fix high and medium priority API coherence issues (Go, Java, C++, TypeScript) (#8983)
* Initial plan
* Add missing API functions to Go, Java, C++, and TypeScript bindings
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
---------
Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
* qf-s-benchmark: debug build + seq tracing + seq-fast/nseq-slow trace analysis (#8988)
* Initial plan
* Update qf-s-benchmark: debug build, seq tracing, trace analysis
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
---------
Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
* disable linear approximation by default to check the merge
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* set check_assignment to true
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* fix restore_x by recalulating new column values
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* fix restore_x by recalulating new column values
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* fix a memory leak
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
---------
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
Co-authored-by: Nikolaj Bjorner <nbjorner@microsoft.com>
Co-authored-by: ValentinPromies <44966217+ValentinPromies@users.noreply.github.com>
Co-authored-by: Valentin Promies <valentin.promies@rwth-aachen.de>
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
Co-authored-by: Angelica Moreira <48168649+angelica-moreira@users.noreply.github.com>
Co-authored-by: Copilot <198982749+Copilot@users.noreply.github.com>
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
Issue #7502 shows that running nlsat eagerly during final check can block quantifier instantiation.
To give space for quantifier instances we introduce two levels for final check such that nlsat is only applied in the second and final level.
for equations x*y + z = 0,
with x, y, z integer, enforce that x divides z
It is (currently) enabled within Grobner completion
and applied partially to x a variable, z linear, and
only when |z| < |x|.
* rename ul_pair to column
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* t
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* simple test passed
* remove an assert
* relax an assertion
* remove an obsolete function
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
* access a term by the term column
* remove the column index from colunm.h
* remove an unused method
* remove debug code
* fix the build of lp_tst
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
---------
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
Co-authored-by: Lev Nachmanson <levnach@hotmail.com>
set UNIT_PROPAGATE_BOUNDS 1 to use the unit propagation version. It applies unit propagation eagerly (does not depend on checking LIA consistency before final check) and avoid creating new literals in most cases
* replace u_set by indexed_uint_set
* replace u_set by indexed_uint_set
* create insert-fresh and insert for indexed_uint_set to make use cases with non-fresh inserts easier
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* update nightly to pull arm
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* update nightly to pull arm
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* fixing the build of lp_tst
* update nightly to pull arm
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
* replace u_set by indexed_uint_set
* replace u_set by indexed_uint_set
* fixing the build of lp_tst
* remove unnecessery call to contains() before
insert to indexed_uint_set
* formatting, no check for contains()
in indexed_uint_set, always init m_touched_rows to nullptr
---------
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
Co-authored-by: Nikolaj Bjorner <nbjorner@microsoft.com>
