Computational Space Efficiency and Minimal Model Generation for Guarded Formulae
نویسندگان
چکیده
This paper describes a number of hyperresolution-based decision procedures for a subfragment of the guarded fragment. We first present a polynomial space decision procedure of optimal worst-case space and time complexity for the fragment under consideration. We then consider minimal model generation procedures which construct all and only minimal Herbrand models for guarded formulae. These procedures are based on hyperresolution, (complement) splitting and either model constraint propagation or local minimality tests. All the procedures have concrete application domains and are relevant for multi-modal and description logics that can be embedded into the considered fragment.
منابع مشابه
Trend-Based Analysis of a Population Model of the AKAP Scaffold Protein
We formalise a continuous-time Markov chain with multidimensional discrete state space model of the AKAP scaffold protein as a crosstalk mediator between two biochemical signalling pathways. The analysis by temporal properties of the AKAP model requires reasoning about whether the counts of individuals of the same type (species) are increasing or decreasing. For this purpose we propose the conc...
متن کاملOn The Restraining Power of Guards
Guarded fragments of rst-order logic were recently introduced by Andr eka, van Benthem and N emeti; they consist of relational rst-order formulae whose quantiiers are appropriately relativized by atoms. These fragments are interesting because they extend in a natural way many propositional modal logics, because they have useful model-theoretic properties and especially because they are decidabl...
متن کاملA Hybrid Meta-heuristic Approach to Cope with State Space Explosion in Model Checking Technique for Deadlock Freeness
Model checking is an automatic technique for software verification through which all reachable states are generated from an initial state to finding errors and desirable patterns. In the model checking approach, the behavior and structure of system should be modeled. Graph transformation system is a graphical formal modeling language to specify and model the system. However, modeling of large s...
متن کاملOptimising minimal Herbrand model generation procedures
In this paper we develop efficient minimal Herbrand model generation procedures for decidable by hyperresolution syntactically defined clausal classes, clausal classes rendered by formulae in first-order logic and clausal classes rendered by formulae in description and modal logics. The procedures use complement splitting and a restricted application of either model constraint propagation rule ...
متن کاملHyperresolution for Guarded Formulae
This paper investigates the use of hyperresolution as a decision procedure and model builder for guarded formulae. In general hyperresolution is not a decision procedure for the entire guarded fragment. However we show that there are natural fragments which can be decided by hyperresolution. In particular, we prove decidability of hyperresolution with or without splitting for the fragment GF1− ...
متن کامل