mirror of
https://github.com/Z3Prover/z3
synced 2026-07-15 03:25:43 +00:00
ed6e2a241d
## Problem Maximizing/minimizing under a **strict** inequality has a delta-rational optimum. For ```smt2 (declare-const r Real) (assert (< r 1)) (maximize r) (check-sat) (get-objectives) ``` the optimum is the supremum `1 - epsilon`, but z3 reported `r = 0`. The same defect makes shared-symbol objectives report a value matching **neither the model nor the true optimum** (issue #10028 follow-up). Minimal reproducer — a 6-mark Golomb ruler (a `>32`-arg `distinct`, so the objective is coupled to EUF) with a strict real objective `obj > x5`, whose true optimum is `17 + epsilon`: | case | before | after | |---|---|---| | `maximize r`, `r < 1` | `0` ❌ | `1 - epsilon` ✅ | | `minimize r`, `r > 1` | `0` ❌ | `1 + epsilon` ✅ | | Golomb `minimize obj`, `obj > x5` | `35/2` / `7+eps` ❌ | `17 + epsilon` ✅ | ## Root cause `check_bound` validates the LP hint by asserting `objective >= optimum`. For a supremum `1 - epsilon` this is a **lower** bound whose value carries a **negative** infinitesimal `(1, -1)`. No `lconstraint_kind` can express that. The kind->infinitesimal map only yields the *matching-sign* cases — `GT` -> lower `(r, +1)`, `LT` -> upper `(r, -1)` — or zero (`GE`/`LE`). The opposite-sign lower bound `(r, -1)` (i.e. `r >= r0 - delta`) is a *relaxation* that no strict inequality produces. `opt_solver::mk_ge` therefore projected the `-epsilon` away, turning `r >= 1 - epsilon` into the over-strong, unsatisfiable `r >= 1`; validation failed and the strictly smaller current model value was reported instead. ## Fix — carry the infinitesimal faithfully through the bound pipeline - **`lp_api::bound`** gains an `eps` component so `get_value` returns the true delta value (no spurious rational fixed-variable equality is propagated to EUF). - **`lar_base_constraint`** stores its right-hand side as a delta-rational `impq` pair; `rhs()` returns the rational component, `bound_eps()` the infinitesimal one. - **`lar_solver`** bound activation/update threads the whole `impq` bound, so a lower bound `(r, -1)` can be asserted. `constraint_holds` accounts for it using the **same** strict-bounds delta that flattens the model, computed **once per model**. - **`theory_lra::mk_ge`** builds a *fresh* predicate for the `(r, -1)` lower bound (to avoid colliding with an already-internalized `v >= r` literal) and attaches `eps = -1`. **`opt_solver::mk_ge`** passes the unprojected value to `theory_lra` / `theory_mi_arith` / `theory_inf_arith` (whose bounds are already `inf_rational`). The pair machinery is what makes the supremum both representable (optimum `1 - epsilon`) and validatable; the reported witness model remains the flattened rational (`find_delta_for_strict_bounds`), consistent with the existing epsilon semantics. ## Validation - Strict optima correct: `1-eps`, `1+eps`, bounded `2<r<5 -> 5-eps`, and lex/box variants. - Integer optima and the #10028 shared-symbol cases unchanged (Golomb n=6/7/8 -> 17/25/34, consistent with the model). - Unit tests **92/92** (release); no new debug-suite failures. - Opt regression corpus (73 files, `model_validate=true`) **byte-identical** to baseline. Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com> --------- Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com> Co-authored-by: Nikolaj Bjorner <nbjorner@microsoft.com>
118 lines
3.4 KiB
YAML
118 lines
3.4 KiB
YAML
name: OCaml Binding CI (Ubuntu + macOS)
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on:
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push:
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branches: [ "**" ]
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pull_request:
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branches: [ "**" ]
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jobs:
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build-test:
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strategy:
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matrix:
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os: [ ubuntu-latest, macos-latest ]
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ocaml-version: ["5"]
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fail-fast: false
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runs-on: ${{ matrix.os }}
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steps:
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- name: Checkout code
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uses: actions/checkout@v7.0.0
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# Cache ccache (shared across runs)
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- name: Cache ccache
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uses: actions/cache@v6.1.0
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with:
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path: ~/.ccache
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key: ${{ runner.os }}-ccache-${{ github.sha }}
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restore-keys: |
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${{ runner.os }}-ccache-
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# Setup OCaml via action (handles opam caching internally)
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- uses: ocaml/setup-ocaml@v3
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with:
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ocaml-compiler: ${{ matrix.ocaml-version }}
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opam-disable-sandboxing: true
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cache-prefix: v1
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# Platform-specific dependencies
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- name: Install system dependencies (Ubuntu)
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if: matrix.os == 'ubuntu-latest'
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run: |
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sudo apt-get update
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sudo apt-get install -y \
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bubblewrap m4 libgmp-dev pkg-config ninja-build ccache
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- name: Install system dependencies (macOS)
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if: matrix.os == 'macos-latest'
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run: |
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brew install gmp pkg-config ninja ccache
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- name: Install required opam packages
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run: opam install -y ocamlfind zarith
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# Configure
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- name: Configure with CMake
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env:
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CC: ${{ matrix.os == 'macos-latest' && 'ccache clang' || 'ccache gcc' }}
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CXX: ${{ matrix.os == 'macos-latest' && 'ccache clang++' || 'ccache g++' }}
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run: |
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mkdir -p build
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cd build
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eval $(opam env)
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echo "CC: $CC"
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echo "CXX: $CXX"
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echo "OCAMLFIND: $(which ocamlfind)"
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echo "OCAMLC: $(which ocamlc)"
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echo "OCAMLOPT: $(which ocamlopt)"
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echo "OCAML_VERSION: $(ocamlc -version)"
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echo "OCAMLLIB: $OCAMLLIB"
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cmake .. \
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-G Ninja \
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-DZ3_BUILD_LIBZ3_SHARED=ON \
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-DZ3_BUILD_OCAML_BINDINGS=ON \
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-DZ3_BUILD_JAVA_BINDINGS=OFF \
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-DZ3_BUILD_PYTHON_BINDINGS=OFF \
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-DZ3_BUILD_CLI=OFF \
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-DZ3_BUILD_TEST_EXECUTABLES=OFF \
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-DCMAKE_VERBOSE_MAKEFILE=TRUE
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- name: Build Z3 and OCaml bindings
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run: |
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ccache -z || true
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eval $(opam env)
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cd build
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ninja build_z3_ocaml_bindings
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ccache -s || true
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- name: Compile ml_example.byte
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run: |
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eval $(opam env)
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ocamlfind ocamlc -o ml_example.byte \
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-package zarith \
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-linkpkg \
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-I build/src/api/ml \
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-dllpath build/src/api/ml \
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build/src/api/ml/z3ml.cma \
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examples/ml/ml_example.ml
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- name: Run ml_example.byte
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run: |
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eval $(opam env)
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export DYLD_LIBRARY_PATH=$(pwd)/build
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ocamlrun ./ml_example.byte
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- name: Compile ml_example (native)
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run: |
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eval $(opam env)
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ocamlfind ocamlopt -o ml_example \
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-package zarith \
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-linkpkg \
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-I build/src/api/ml \
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build/src/api/ml/z3ml.cmxa \
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examples/ml/ml_example.ml
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- name: Run ml_example (native)
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run: |
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export DYLD_LIBRARY_PATH=$(pwd)/build
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./ml_example
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