By Jean-Baptiste Jeannin, Dexter Kozen (auth.), Martin Kutrib, Nelma Moreira, Rogério Reis (eds.)
This publication constitutes the refereed lawsuits of the 14th overseas Workshop of Descriptional Complexity of Formal platforms 2012, held in Braga, Portugal, in July 2012.
The 20 revised complete papers offered including four invited papers have been conscientiously reviewed and chosen from 33 submissions. the subjects lined are automata, grammars, languages and comparable structures, a number of measures and modes of operations (e.g., determinism and nondeterminism); trade-offs among computational versions and/or operations; succinctness of description of (finite) gadgets; nation explosion-like phenomena; circuit complexity of Boolean features and comparable measures; resource-bounded or structure-bounded environments; frontiers among decidability and undecidability; universality and reversibility; structural complexity; formal structures for purposes (e.g., software program reliability, software program and trying out, modeling of ordinary languages); nature-motivated (bio-inspired) architectures and unconventional types of computing; Kolmogorov complexity.
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Extra info for Descriptional Complexity of Formal Systems: 14th International Workshop, DCFS 2012, Braga, Portugal, July 23-25, 2012. Proceedings
This is part of an approach 2N/const in which we focus on subclasses of 2N for restricted instance length, and ask whether 2D contains any compact twl of them. Speciﬁcally, we introduce the subclasses 2N/const 2N/poly 2N/exp 2N 2D of problems whose instances have length constant, polynomial, or exponential in h, respectively. , compact twl ∈ 2N/const and sorted ∃equality ∈ 2N/poly, since both problems are in 2N and their instances are of length ≤ 2 and ≤ h+1, respectively; but length ∈ / 2N/exp, since this problem has (negative) instances of arbitrary length.
7)]. (2) sorted ∃equality: Introduced in [21, Prop. 3] (essentially), as a problem whose reverse has logarithmically-small 1-pebble 2dfas, but admits no small 1dfas. (3) projection: Introduced in [21, Prop. 2] (essentially), as a problem whose reverse witnesses the asymptotic value of the trade-oﬀ in converting 2dfas to 1dfas. (4) composition: Introduced in [22, p. 1213] (essentially), as a problem which witnesses the asymptotic value of the trade-oﬀ in converting 2dfas to 1dfas. (5) retrocount: Introduced in  (attributed to M.
Overall, we are essentially left with only three problems that could potentially witness the Sakoda-Sipser conjecture: twl and its severe restrictions to one-way graphs and to two-symbol graphs, respectively owl and compact twl. The full problem is actually 2N-complete under ≤h . Hence, by the closure of 2D and 2N under ≤h , we get the following equivalences: 2D = 2N ⇐⇒ twl ∈ 2D and 2N = co2N ⇐⇒ ¬twl ∈ 2N . : no poly(h)-state 2dfa can check that an h-tall, two-way, multi-column graph contains a path from its leftmost to its rightmost column.