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The ISLa Input Specification Language and its solver.

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ISLa: Input Specification Language

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ISLa is a grammar-aware String constraint solver with its own specification language. The language is a superset of SMT-LIB for String constraints, and adds the power of structural quantifiers over derivation trees on top. ISLa supports universal and existential quantifiers as well as structural (e.g., "occurs before") and semantic (e.g., "is a checksum") predicates. Its generation mechanism uses feedback from Z3 to solve SMT-LIB formulas, and constructive insertion for eliminating existential quantifiers. Universal quantifiers and structural predicates are solved by a deterministic, heuristic-based search (with a configurable cost function).

For more information on the ISLa language, take a look at the ISLa Language Specification. The specification contains a list of supported default predicates, which might be useful in many cases.

We also offer an interactive ISLa tutorial as part of the Fuzzing Book.

Example

Consider a grammar of a simple assignment programming language (e.g., "x := 1 ; y := x"):

import string

LANG_GRAMMAR = {
    "<start>":
        ["<stmt>"],
    "<stmt>":
        ["<assgn>", "<assgn> ; <stmt>"],
    "<assgn>":
        ["<var> := <rhs>"],
    "<rhs>":
        ["<var>", "<digit>"],
    "<var>": list(string.ascii_lowercase),
    "<digit>": list(string.digits)
}

An interesting, context-sensitive property for this language is that all right-hand side variables have been declared somewhere before. In ISLa's concrete syntax, this can be expressed as a constraint

forall <assgn> assgn_1="<var> := {<var> rhs}" in start:
  exists <assgn> assgn_2="{<var> lhs} := <rhs>" in start:
    (before(assgn_2, assgn_1) and (= rhs lhs))

ISLa also allows writing binary SMT-LIB S-expressions in infix syntax: (= rhs lhs) gets rhs = lhs. Furthermore, the in start is optional, and the "match expressions" "{<var> lhs} := <rhs>" etc. can (at least in such simple cases) be expressed using a syntax inspired by the XPath abbreviated syntax:

forall <assgn> assgn_1:
  exists <assgn> assgn_2:
    (before(assgn_2, assgn_1) and assgn_1.<rhs>.<var> = assgn_2.<var>)

Additionally, top-level universal quantifiers without match expressions (like forall <assgn> assgn_1) can be omitted; instead of the bound name (e.g., assgn_1) one then simply uses the type (<assgn>) in the inner formula. This only works for one such quantifier over any type, since otherwise, the names are needed for disambiguation. The final, simpler formula is:

exists <assgn> assgn:
  (before(assgn, <assgn>) and <assgn>.<rhs>.<var> = assgn.<var>)

Using the Python API, the same constraint is written as follows:

from isla import language
import isla.isla_shortcuts as sc 

mgr = language.VariableManager()

formula: language.Formula = mgr.create(sc.forall_bind(
    mgr.bv("$lhs_1", "<var>") + " := " + mgr.bv("$rhs_1", "<rhs>"),
    mgr.bv("$assgn_1", "<assgn>"),
    mgr.const("$start", "<start>"),
    sc.forall(
        mgr.bv("$var", "<var>"),
        mgr.bv("$rhs_1"),
        sc.exists_bind(
            mgr.bv("$lhs_2", "<var>") + " := " + mgr.bv("$rhs_2", "<rhs>"),
            mgr.bv("$assgn_2", "<assgn>"),
            mgr.const("$start"),
            sc.before(mgr.bv("$assgn_2"), mgr.bv("$assgn_1")) &
            mgr.smt(cast(z3.BoolRef, mgr.bv("$lhs_2").to_smt() == mgr.bv("$var").to_smt()))
        )
    )
))

The ISLa solver can find satisfying assignments for this formula:

from isla.solver import ISLaSolver

solver = ISLaSolver(
    grammar=LANG_GRAMMAR,
    formula=formula,
    max_number_free_instantiations=10,
    max_number_smt_instantiations=10)

it = solver.solve()
while True:
    try:
        print(next(it))
    except StopIteration:
        break

When calling the solver with an ISLa formula in concrete syntax (a string), one has to supply a "signature" of the structural and semantic predicate symbols used:

from isla.solver import ISLaSolver
from isla.isla_predicates import BEFORE_PREDICATE

solver = ISLaSolver(
    grammar=LANG_GRAMMAR,
    formula=concrete_syntax_formula,
    structural_predicates={BEFORE_PREDICATE},
    max_number_free_instantiations=10,
    max_number_smt_instantiations=10)

it = solver.solve()
while True:
    try:
        print(next(it))
    except StopIteration:
        break

To create more diverse inputs, ISLa can be configured to perform a bounded expansion of grammar nonterminals that are irrelevant for any constraint (parameter max_number_free_instantiations). Similarly, the number of solutions for semantic SMT formulas can be configured (max_number_smt_instantiations).

In certain cases, ISLa will only produce a finite amount of solutions. This holds in particular for simple existential constraints. The existential quantifier will be eliminated and the solution output; the search terminates then. Usually, though, the stream of solutions will be infinite (given that the grammar contains recursions).

Resources / Important Files

  • The file tests/xml_demo.py demonstrates most ISLa features along the example of an XML constraint.
  • In the directory src/isla_formalizations/, you find our specifications for the subject languages of our experimental evaluation.
  • The files evaluations/evaluate_... are the scripts we used to collect and analyze our evaluation data. By running these scripts without arguments, a digest of the most recent results is returned.
  • The most important files of our implementation are src/isla/language.py, src/isla/evaluator.py and input_constraints/solver.py, containing ISLa language features, the constraint checker, and the ISLa solver.

Build, Run, Install

ISLa depends on Python 3.10 and the Python header files. To compile all of ISLa's dependencies, you need gcc, g++ make, and cmake. To check out the current ISLa version, git will be needed. Furthermore, python3.10-venv is required to run ISLearn in a virtual environment. Additionally, for testing ISLa, clang and the csvlint executable are required (for the Scriptsize-C and CSV case studies).

On Alpine Linux, all dependencies (but csvlint) can be installed using

apk add python3.10 python3.10-dev python3.10-venv gcc g++ make cmake git clang

The csvlint executable can be obtained from https://github.com/Clever/csvlint/releases/download/v0.3.0/csvlint-v0.3.0-linux-amd64.tar.gz. You obtain and unpack csvlint by running (in a Unix shell)

wget https://github.com/Clever/csvlint/releases/download/v0.3.0/csvlint-v0.3.0-linux-amd64.tar.gz -O /tmp/csvlint.tar.gz
tar xzf /tmp/csvlint.tar.gz -C /tmp

Then, move the file /tmp/csvlint-v0.3.0-linux-amd64/csvlint to some location in your PATH (e.g., /usr/bin).

Docker

For testing ISLa without having to care about external dependencies like Python, we provide a Docker container, which already contains all dependencies.

First, pull and run the Docker container:

docker pull dsteinhoefel/isla:latest
docker run -it --name isla dsteinhoefel/isla

You should now have entered the container. Next, check out the ISLa repository, and update the requirements:

git clone https://github.com/rindPHI/isla.git
cd isla/

Now, you can perform an editable installation of ISLa and run the ISLa tests:

pip install -e .[dev,test]
python3.10 -m pytest -n 16 tests

Install

If all external dependencies are available, a simple pip install isla-solver suffices. We recommend installing ISLa inside a virtual environment (virtualenv):

python3.10 -m venv venv
source venv/bin/activate
pip install --upgrade pip
pip install isla-solver

Build

ISLearn is built locally as follows:

git clone https://github.com/rindPHI/isla.git
cd isla/

python3.10 -m venv venv
source venv/bin/activate

pip install --upgrade pip
pip install --upgrade build
python3 -m build

Then, you will find the built wheel (*.whl) in the dist/ directory.

Testing & Development

For development, we recommend using ISLa inside a virtual environment (virtualenv). By thing the following steps in a standard shell (bash), one can run the ISLa tests:

git clone https://github.com/rindPHI/isla.git
cd isla/

python3.10 -m venv venv
source venv/bin/activate

pip install --upgrade pip
pip install -r requirements_test.txt

# Run tests
pip install -e .[dev,test]
python3 -m pytest -n 16 tests

Then you can, for instance, run python3 tests/xml_demo.py inside the virtual environment.

Changelog

See CHANGELOG.md.

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