By Egidio Astesiano, Alessandro Giovini (auth.), Irène Guessarian (eds.)
This quantity comprises the complaints of the 1990 Spring university of Theoretical laptop technology, dedicated to the semantics of concurrency. The papers are of 2 forms: - surveys and tutorials introducing the topic to newbies and scholars and giving updates of the cutting-edge, - study papers offering fresh achievements within the semantics of concurrency. The contributions explicate the connections, similarities and adjustments among quite a few techniques to the semantics of concurrency, resembling pomsets and metric semantics, occasion constructions, synchronization timber, fixpoints and languages, lines, CCS and Petri nets, and express types. additionally they disguise and evaluate a number of the notions of commentary and bisimulation equivalences, logics for concurrency, and functions to dis- tributed systems.
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Additional info for Semantics of Systems of Concurrent Processes: LITP Spring School on Theoretical Computer Science La Roche Posay, France, April 23–27, 1990 Proceedings
ACM Press, 2003. 4. R. E. Bryant. Graph-based algorithms for boolean function manipulation. IEEE Transactions on Computers, 35(8):677–691, 1986. 5. R. E. Bryant. On the complexity of VLSI implementations and graph representations of boolean functions with application to integer multiplication. IEEE Trans. , 40(2):205–213, 1991. 6. A. Cheng. Complexity results for model checking. Technical Report RS-95-18, BRICS - Basic Research in Computer Science, Department of Computer Science, University of Aarhus, Feb.
Lomuscio and F. Raimondi Theorem 1. 63) Consider a Kripke model M = (W, R1 , . . g. ) and a formula ϕ. There is an algorithm that, given a model M and a formula ϕ, determines in time O(|M | × |ϕ|) whether or not M |= ϕ. The time complexity for model checking fusion (independent join) of logics can be derived using the following theorem : Theorem 2. Let M = (W, R1 , R2 , V ) be a model for the fusion of two logics L1 and L2 , and ϕ a formula of L1 ⊕ L2 (where ⊕ denotes the fusion of two logics).
Lomuscio and F. Raimondi Proof. e. D, s |= ¬ϕ). Based on this, we conclude that the problem of model checking is in co-NPSPACE. From this, considering Corollary 1 and Theorem 6, we conclude that symbolic model checking for CTLK is PSPACE-complete (the lower bound being given by the complexity of symbolic model checking CTL). Proof details: T is a multi-string Turing machine whose inputs are D and ϕ. T operates “inductively” on the structure of the formula ϕ (see also  for similar approaches), by calling other machines (“sub-machines”) dealing with a particular logical operator.