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The aim of the paper is to sketch some solutions that arose along the work on 'Logic of Strict Processes' (LSP). Three main topics are discussed: (a) negation based on implication constructed in intuitionistic fashion; (b) satisfiability in multimodal contexts and (c) a proposal of a first order semantics for Dynamic Logic of Strict Processes (DLSP). The system of DLSP differs from the original LSP...