Search

In the last decades much research effort has been devoted to extending the success of model checking from the traditional field of finite state machines and various versions of temporal logics to suitable subclasses of context-free languages and appropriate extensions of temporal logics. To the best of our knowledge such attempts only covered structured languages , i.e. languages whose structure is immediately "visible" in their sentences, such as tree-languages or visibly pushdown ones. In this paper we present a new temporal logic suitable to express and automatically verify properties of operator precedence languages. This "historical" language family has been recently proved to enjoy fundamental algebraic and logic properties that make it suitable for model checking applications yet breaking the barrier of visible-structure languages (in fact the original motivation of its inventor Floyd was just to support efficient parsing , i.e. building the "hidden syntax tree" of language sentences). We prove that our logic is at least as expressive as analogous logics defined for visible pushdown languages yet covering a much more powerful family; we design a procedure that, given a formula in our logic builds an automaton recognizing the sentences satisfying the formula, whose size is at most exponential in the length of the formula. Our results cover both finite and infinite string languages. [ABSTRACT FROM AUTHOR]

To specify properties of open systems with interval based temporal logics, Alternating Projection Temporal Logic (APTL) is proposed by introducing Concurrent Game Structures (CGS) to Propositional Projection Temporal Logic (PPTL). Further, examples are given to show how properties of open systems can be specified by APTL formulas. Moreover, to establish the automata based model theory for the new proposed logic, Generalized alternating Büchi automata over Concurrent Game structures (GBCGs) are defined, and a transformation from APTL formulas to GBCGs is presented. In addition, a decision procedure for checking the satisfiability of APTL formulas, and a model checking approach for APTL with Concurrent Game Structures (CGSs) being models are presented. [ABSTRACT FROM AUTHOR]