Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Separation Logic (SL) is a ll-known assertion language used in Hoare-style modular proof systems for programs with dynamically allocated data structures.   investigate the fragment of first-order SL restricted to the Bernays-Schoenfinkel-Ramsey quantifier prefix $\exists^*\forall^*$, where the quantified variables range over the set of memory locations. When this set is uninterpreted (has no associated theory) the fragment is PSPACE-complete, which matches the complexity of the quantifier-free fragment. Hover, SL becomes undecidable when the quantifier prefix belongs to $\exists^*\forall^*\exists^*$ instead, or when the memory locations are interpreted as integers with linear arithmetic constraints, thus setting a sharp boundary for decidability within SL.  have implemented a decision procedure for the decidable fragment of $\exists^*\forall^*$SL as a specialized solver inside a DPLL($T$) architecture, within the CVC4 SMT solver. The evaluation of our implementation was carried out using two sets of verification conditions, produced by (i) unfolding inductive predicates, and (ii) a akest precondition-based verification condition generator. Experimental data shows that automated quantifier instantiation has little overhead, compared to manual model-based instantiation.
['Andrew Reynolds', 'Radu Iosif', 'Cristina Serban']
I am writing a research paper on a idea Reasoning in the Bernays-Schoenfinkel-Ramsey Fragment of Separation Logic
[{"from": "human", "value": "I am writing a research paper on a idea Reasoning in the Bernays-Schoenfinkel-Ramsey Fragment of Separation Logic"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Separation Logic (SL) is a ll-known assertion language used in Hoare-style modular proof systems for programs with dynamically allocated data structures.   investigate the fragment of first-order SL restricted to the Bernays-Schoenfinkel-Ramsey quantifier prefix $\\exists^*\\forall^*$, where the quantified variables range over the set of memory locations. When this set is uninterpreted (has no associated theory) the fragment is PSPACE-complete, which matches the complexity of the quantifier-free fragment. Hover, SL becomes undecidable when the quantifier prefix belongs to $\\exists^*\\forall^*\\exists^*$ instead, or when the memory locations are interpreted as integers with linear arithmetic constraints, thus setting a sharp boundary for decidability within SL.  have implemented a decision procedure for the decidable fragment of $\\exists^*\\forall^*$SL as a specialized solver inside a DPLL($T$) architecture, within the CVC4 SMT solver. The evaluation of our implementation was carried out using two sets of verification conditions, produced by (i) unfolding inductive predicates, and (ii) a akest precondition-based verification condition generator. Experimental data shows that automated quantifier instantiation has little overhead, compared to manual model-based instantiation."}]