# A Separation Logic with Data: Small Models and Automation

@inproceedings{Katelaan2018ASL, title={A Separation Logic with Data: Small Models and Automation}, author={Jens Katelaan and Dejan Jovanovic and Georg Weissenbacher}, booktitle={IJCAR}, year={2018} }

Separation logic has become a stock formalism for reasoning about programs with dynamic memory allocation. We introduce a variant of separation logic that supports lists and trees as well as inductive constraints on the data stored in these structures. We prove that this logic has the small model property, meaning that for each satisfiable formula there is a small domain in which the formula is satisfiable. As a consequence, the satisfiability and entailment problems for our fragment are in NP…

## 8 Citations

### Strong-Separation Logic

- Computer ScienceESOP
- 2021

It is argued that the resulting logic, strong-separation logic, can be used for symbolic execution and abductive reasoning just like “standard” separation logic, while remaining decidable even in the presence of both the magic wand and inductive predicates.

### Extending Propositional Separation Logic for Robustness Properties

- Computer ScienceFSTTCS
- 2018

We study an extension of propositional separation logic that can specify robustness properties, such as acyclicity and garbage freedom, for automatic verification of stateful programs with…

### Compositional Satisfiability Solving in Separation Logic

- Computer ScienceVMCAI
- 2021

A novel decision procedure to the satisﬁability problem in array separation logic combined with general inductive predicates and arithmetic is introduced and an expressive decidable fragment for the compositionality is identified.

### Completeness of Cyclic Entailment Proofs in Separation Logic with Inductive Predicates and Arithmetic (Technical Report)

- Computer Science, Philosophy
- 2019

This work considers a decision procedure that could deduce linear validity proofs (i.e., without back-tracking) for the quantifier-free entailment problem and presents a sound, complete and terminating cyclic proof system for the problem in separation logic combining with linearly inductive predicates and arithmetic properties.

### Beyond Symbolic Heaps: Deciding Separation Logic With Inductive Definitions

- Computer ScienceLPAR
- 2020

This paper investigates separation logics built on top of the inductive definitions from SLIDbtw, i.e., logics that feature the standard Boolean and separation-logic operators, and establishes the decidability of the satisfiability problem of a separation logic with conjunction, disjunction, separating conjunction and guarded forms of negation, magic wand, and septraction.

### Automated reasoning and randomization in separation logic

- Computer Science
- 2020

A weakest precondition calculus à la Dijkstra is developed, which is a sound and conservative extension of both separation logic and McIver and Morgan’s weakest preexpectations which preserves virtually all properties of classical separation logic.

### Complete Entailment Checking for Separation Logic with Inductive Definitions

- PhilosophyArXiv
- 2020

This article fixes the incompleteness issues while retaining the double-exponential asymptotic complexity bound and generalizes the decision procedure to the fragment of positive formulas, in which conjunction, disjunction, guarded negation and septraction can be freely combined with the separating conjunction.

### Concrete domains in logics

- Computer Science, PhilosophyACM SIGLOG News
- 2021

This short survey presents logical formalisms in which reasoning about concrete domains is embedded in formulae at the atomic level, including temporal logics, description logics with concrete domains as well as variant formalisms.

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