By Javier Esparza, Pierre Fraigniaud, Thore Husfeldt, Elias Koutsoupias

This two-volume set of LNCS 8572 and LNCS 8573 constitutes the refereed complaints of the forty first overseas Colloquium on Automata, Languages and Programming, ICALP 2014, held in Copenhagen, Denmark, in July 2014. the whole of 136 revised complete papers offered including four invited talks have been conscientiously reviewed and chosen from 484 submissions. The papers are geared up in 3 tracks focussing on Algorithms, Complexity, and video games, good judgment, Semantics, Automata, and conception of Programming, Foundations of Networked Computation.

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Additional info for Automata, Languages, and Programming: 41st International Colloquium, ICALP 2014, Copenhagen, Denmark, July 8-11, 2014, Proceedings, Part II

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The proof follows [11] by building a finite reachability tree, with the extra step of testing whether PostS (x) is infinite for each new node. 4. Boundedness is decidable for post-effective WSTS with strict monotony and with well partial ordering. 3 can be strengthened: control-state maintainability is undecidable, even for posteffective ω 2 -WSTS with strong and strict monotony, and with post-effective completion. 5. Strong control-state maintainability is decidable for ω 2 -WSTS with strong monotony and a post-effective completion.

We modify their definitions slightly to suit our purposes. A strongly connected DFS A = (Q, Σ, δ, q0 ) with |Q| ≥ 2 is uniformly minimal if the DFA D = (Q, Σ, δ, q0 , F ) is minimal for each set F of final states, where ∅ F Q. Given a DFS A = (Q, Σ, δ, q0 ), we define the pair graph of A to be the directed graph GA = (VA , EA ), where the set VA of vertices is the set of all twoelement subsets {p, q} of Q, and the set EA of edges consists of unordered pairs ({p, q}, {p≥, q ≥ }) such that {δ(p, a), δ(q, a)} = {p≥ , q ≥ }.

7. Let S = (X, − ⇔S , ∈) be a WSTS and Post≥S (→ x) = {J1 , . . , ≥ Jn }. We have → PostS (x) = J1 ◦ . . ◦ Jn . A natural question that arises is whether the completion of a WSTS is also a WSTS. 8. Let S = (X, − ⇔S , ∈) then S has strong monotony. However, (Ideals(X), ⊂) is not always a wqo and therefore the completion is not always a WSTS. In fact, it is known to be a wqo iff (X, ∈) is a so-called ω 2 -wqo, a notion we will not define here. In general, a wqo is not necessarily a ω 2 -wqo and the typical counter-example is the Rado ordering [20].

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