We present an encoding that is able to specify LTL bounded model checking problems within the Bernays-Sch?onfinkel fragment of first-order logic. This fragment, which also correspo...
abstract. The aim of the present paper is to analyze the complexity of strict implication (together with falsum, conjunction and disjunction). We prove that Ladner's Theorem r...
In a data word or a data tree each position carries a label from a finite alphabet and a data value from an infinite domain. Over data words we consider the logic LTL↓ 1(F), th...
Abstract. In order to verify programs with pointer variables, we introduce a temporal logic LTLmem whose underlying assertion language is the quantifier-free fragment of separatio...
We study complexity of the model-checking problems for LTL with registers (also known as freeze LTL and written LTL ) and for first-order logic with data equality tests (written F...