By Christos H. Papadimitriou (auth.), Fernando Orejas, Paul G. Spirakis, Jan van Leeuwen (eds.)
This publication constitutes the refereed lawsuits of the twenty eighth overseas Colloquium on Automata, Languages and Programming, ICALP 2001, held in Crete, Greece in July 2001.
The eighty revised papers offered including keynote contributions and 4 invited papers have been rigorously reviewed and chosen from a complete of 208 submissions. The papers are geared up in topical sections on algebraic and circuit complexity, set of rules research, approximation and optimization, complexity, concurrency, effective facts constructions, graph algorithms, language idea, codes and automata, version checking and protocol research, networks and routing, reasoning and verification, scheduling, safe computation, specification and deduction, and structural complexity.
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Extra info for Automata, Languages and Programming: 28th International Colloquium, ICALP 2001 Crete, Greece, July 8–12, 2001 Proceedings
Let R be a semi-commutation rewriting system. Then, for every APC set φ, the set Rf∗ (φ) is effectively APC. Actually, this result can be slightly extended to system including symbol substitutions. We call a symbol substitution rewriting system any set of rules of the form a → b. First, it is easy to see that APCs are effectively closed under Rf∗ for any symbol substitution rewriting system. The proof of Theorem 13 can be easily adapted to rewriting systems which are sets of semi-commutations and symbol substitutions [Tou00].
This needs a recasting of the deterministic architecture (section 6), in which all three components were deterministic. In a nondeterministic architecture, the plant is still deterministic; the ∃-nondeterminism is incarnate in the controller Con (see the shady input π in the lower Fig, 1) and in the interface I (the shady input etick). There is a clear difference between: 1. Nondeterministic detection of sampling-instants. In addition to the internal mechanism of boundary detection (which is deterministic and relies on the completeness assumption) here are relevant the timing ticks supplied by the external shady input etick.
The conceptual/notational approach in [H] (which may be consulted for further references), focuses on “Hybrid Automata”. It differs from that advocated in this paper as follows: (i) No consideration of operators/transducers, feedback reliability. (ii) Use of instantaneous transitions. Remember that, according to Ax, the only instantaneous transition is associated with . Automata, Circuits, and Hybrids: Facets of Continuous Time 21 (iii) Multiform time. This amounts to breaking the time-axis R≥0 into a sequence of closed intervals, which may reduce to single points.